ASAP!!! How do I solve this
Complete the equation of the circle that includes the points (-5,4), (3,4), and (3,0)
Answers
The equation of circle is ( x + 1 )² + ( y - 2 )² = 20
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the points on the circle be A ( -5 , 4 ) , B ( 3 , 4 ) and C ( 3 , 0 )
Now , the equation of the circle is of the form
ax + by + c = x² + y²
Substituting the values in the equation , we get
-5a + 4b + c = 41 be equation (1)
3a + 4b + c = 25 be equation (2)
3a + c = 9 be equation (3)
Subtracting equation (2) from equation (1) , we get
-8a = 16 be equation (4)
Divide by -8 on both sides of the equation , we get
a = -2
Substitute the value of a in equation (3) , we get
3 ( -2 ) + c = 9
-6 + c = 9
c = 15
Substitute the value of a and c in equation (2) , we get
-6 + 4b + 15 = 25
4b + 9 = 25
4b = 16
b = 4
So , the value of a , b and c are -2 , 4 and 15 respectively
Now , the equation of circle will be
-2x + 4y + 15 = x² + y²
On simplifying the equation , we get
x² + y² + 2x - 4y - 15 = 0
( x² + 2x + 1 ) - 20 + ( y² - 4y + 4 ) = 0
So , the equation will be
( x + 1 )² + ( y - 2 )² = 20
Hence , the equation of circle is ( x + 1 )² + ( y - 2 )² = 20
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Related Questions
at what points does the curve intersect the paraboloid
Answers
The points where the curve intersect the paraboloid is (2, 0, 4).
To find the points of intersection, we set the two equations equal to each other and solve for x, y, and z.
Now, to find the point where the curve r(t) intersects the paraboloid z = x² + y², we can substitute the given value of t into the parametric equations of the curve.
The curve is defined as:
r(t) = t i + (2t - t²) k
where i and k are unit vectors in the x and y directions, respectively.
value of t is given.
Setting t = 2, we have:
x = 2
y = 2(2) - (2)² = 0
z = x² + y² = 4 + 0 = 4
So, the point of intersection is (2, 0, 4).
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_____The given question is incorrect, the correct question is given below:
At what point does the curve r(t)=ti+(2t−t2)k, where t= 2
intersect the paraboloid z=x²+y².
point q is located on the coordinate grid (9-73, -3,32) in which quadrant is point Q located?
Answers
Answer:
Quadrant III
Step-by-step explanation:
hope it helps :-)
Solve for x. Round to the nearest tenth of a degree, if necessary.
L
6.5
Go
M
K
8.4
Answers
Using the cosine ratio, the value of x, to the nearest tenth, is: 39.3°.
How to Apply the Cosine Ratio?The cosine ratio is part of the trigonometric ratios, which is given as:
cos ∅ = length of adjacent side / length of hypotenuse.
Given the following:
Length of adjacent side = 6.5
Length of hypotenuse = 8.4
Reference angle (∅) = x
Plug in the values:
cos x = 6.5/8.4
x = cos^(-1)(6.5/8.4)
x = 39.3°
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Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.
Which shows the correct equation and value of x , the distance of 1 lap around the path at the park?
Answers
The equation and value of x , the distance of 1 lap around the path at the park is 4.8x + 1.2 = 3.6.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.
As, we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant.
So, the equation can be framed as
4.8x + 1.2 = 3.6
4.8x = 2.4
x = 0.5
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The question attached here seems to be incomplete the remaining portion is given below:
3.6 x + 1.2 = 4.8; x = 1 mile
4.8 x + 1.2 = 3.6; x = 1 mile
3.6 x + 1.2 = 4.8; x = 0.5 mile
4.8 x + 1.2 = 3.6; x = 0.5 mile
5 x = negative 58
Lines A and B are parallel
B
A
1/2
50°/4
5/6
7/8
m42 [?]°
Answers
The measure of angle ∠2 is 50° for the given lines.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.
Given that the angle is 50°. The vertically opposite angles for the lines are equal. The vertically opposite angle of 50° is ∠2.
The value of angle ∠2 is,
∠2 = 50°
Therefore, the value of angle ∠2 will be 50°.
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AABC transforms to produce AABC. Which transformation did NOT take place?
Answers
The transformation that did not take place is a dilation, as the side lengths for both triangles are constant.
What are transformations on the graph of a function?Translation: Translation left/right or down/up, changing the position of the figure.Reflections: Over one of the axes or over a line, changing the orientation of the figure.Rotations: Over a degree measure, changing the inclination of the figure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, changing the side lengths of the figure.For this problem, the side lengths remain constant, hence a dilation did not take place.
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There is a 30% chance an avocado is
perfectly ripe by tomorrow (not over-ripe
or under-ripe). If it is perfectly ripe
tomorrow there is a 40% chance it is still
perfectly ripe the next day. If it is not
perfectly ripe tomorrow there is a 60%
chance it is perfectly ripe by the next day.
What is the probability it is not perfectly
ripe on both days? Answer form 0.00
Answers
Answer:
Step-by-step explanation:6
the sum of 3 times a number and 4 equals 6. Turn it into an equation.
Answers
Answer:
3x+4=6
Step-by-step explanation:
Consider the graph of h(r) , which represents the height of a golfball seconds after it has been hit.
Time (in seconds)
Which best describes the domain for the function h(I) ?
Answers
The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
We know that the domain of a function is the set of values that we are allowed to plug into our function.
From the Graph the x values ranges from 0 to 4.
So, domain is 0 ≤ x ≤ 4.
and, the range is the corresponding output for the input
From the Graph the y values ranges from 0 to 80.
So, Range is 0 ≤ y ≤ 80.
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Can someone help? I need to know what the answers are for this. it’s trig btw!
Answers
The missing length of the geometric system of right triangles is equal to 15.833 centimeters.
How to find the missing length in a system of 10 right triangles
Herein we find the case of a geometric system formed by ten right triangles, whose missing length can be found by means Pythagorean theorem and trigonometric functions, whose definitions are shown below:
Pythagorean theorem
r = √(x² + y²)
Trigonometric function
cos θ = x / r
Where:
θ - Angle, in degrees.x - Leg adjacent to angle, in centimeters.y - Leg opposite to angle, in centimeters.r - Hypotenuse, in centimeters.Now we proceed to determine the missing length:
First triangle:
x = 8 / cos 28°
x = 9.061
x' = 9.061 - 2.5
x' = 6.561
Second triangle
x = (6.561 + 3.6) · cos 11°
x = 9.974
x' = 9.974 - 2
x' = 7.974
Third triangle
x = √[(7.974 + 2.9)² - 3.8²]
x = 10.188
x' = 10.188 - 1
x' = 9.188
Fourth triangle
x = (9.188 + 3.2) · cos 43°
x = 9.060
x' = 9.060 - 1
x' = 8.060
Fifth triangle
x = (8.060 + 1) / cos 30°
x = 10.462
Sixth triangle
x = (10.462 + 3.2 + 1.9) · cos 19°
x = 14.714
Seventh triangle
x = (14.714 - 4.8 - 1.1) / cos 46°
x = 12.688
Eighth triangle
x = √[(12.688 + 1.7)² + 3.2²]
x = 14.740
Ninth triangle
x = (14.740 - 2.73) · cos 22°
x = 11.135
x' = 11.135 - 2.24
x' = 8.895
Tenth triangle
x = (8.895 + 6.9) / cos 4°
x = 15.833
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Find using Heron's Formula
Answers
Answer: look at the image for the answer
Step-by-step explanation:
natural stone bridge forms over a river. water erodes the rock surface making a hole for water to pass through which enlarges over time.
the curve can be modelled by the equation h =-0.0159d² + 290 where h is the height and d is the width.
find the vertex.
what does the vertex tell you about the bridge?
what is the span of the the rainbow bridge?
Answers
Answer:
Step-by-step explanation:
The equation h = -0.0159d² + 290 models the curve of the natural stone bridge, where h is the height of the curve in feet and d is the width of the curve in feet.
To find the vertex of the curve, we need to use the formula x = -b / 2a, where x represents the x-coordinate of the vertex and a and b are coefficients of the quadratic equation. In this case, the quadratic equation is h = -0.0159d² + 290, so a = -0.0159 and b = 0. To find the vertex, we plug these values into the formula:
x = -b / 2a = 0 / (2 * (-0.0159)) = 0
So the x-coordinate of the vertex is 0, which means the vertex is at the point (0, 290).
The vertex tells us that the highest point of the bridge (the vertex) is at a width of 0 feet. This means that the bridge is tallest at its center, and the height decreases as the width increases in either direction. Additionally, since the coefficient of the squared term is negative, the parabolic curve is downward-facing, which indicates that the bridge curves downward as it extends outward.
To find the span of the rainbow bridge, we need to find the width of the bridge where the height is 0. This represents the point where the bridge intersects with the river. To do this, we set h = 0 and solve for d:
0 = -0.0159d² + 290
0.0159d² = 290
d² = 290 / 0.0159
d ≈ 77.36
So the width of the bridge where the height is 0 is approximately 77.36 feet. Therefore, the span of the rainbow bridge is approximately 154.72 feet (twice the width at the point where the height is 0).
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack.
Answers
The number of students that have veggies as a snack is equal to 51 students according to the circle graph.
What is a circle graph?A circle graph is also called a pie chart, and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.
Given that, there are 300 students at a school, the number of students that have veggies as a snack can be calculated as follows;
Number of students that had veggies = 17/100 × 300
Number of students that had veggies = 0.17 × 300
Number of students that had veggies = 51 students.
Hence, the number of students that have veggies as a snack is equal to 51 students according to the circle graph.
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The complete question is :-
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack. No Snack 12% Fruit. 23% Chips · 18% Cheese 15% Veggies 17% L Cookies 15%
What is the z-score for a 98% confidence interval?
Answers
Using a standard normal distribution table, we can find the closest value to 0.99, which is 2.33. Therefore, the z-score for a 98% confidence interval is 2.33.
To calculate the z-score for a 98% confidence interval, we can use a standard normal distribution table or a calculator with a built-in z-score calculator. To calculate the z-score for a 98% confidence interval, we can use the following formula:
z = invNorm(1 - (1 - confidence level) / 2)
Where "invNorm" is the inverse normal distribution function, and "confidence level" is the level of confidence expressed as a decimal. For a 98% confidence level, we have:
z = invNorm(1 - (1 - 0.98) / 2)
z = invNorm(0.99)
Using the table, we can find the z-score corresponding to a cumulative area of 0.98 by looking up the closest value to 0.98 in the table.
invNorm(0.98) = 2.33.
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On his first birthday, Tomas was 30 inches tall. For the next year, he grew half an inch each month. what equation models his height that year, y, as a function of the number of months, x?
Answers
Answer:
y=0.5x+30?
Step-by-step explanation:
[tex]4.03 x 10x^{6}[/tex]
Answers
The simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that an expression 4.03x + 10x⁶
We need to simplify it,
4.03x + 10x⁶
Applying the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]x^6=x^5x[/tex]
[tex]=4.03x+10x^5x[/tex]
Factor out common term x,
[tex]=x\left(4.03+10x^5\right)[/tex]
Hence, the simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]
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Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes?
Answers
Number of lemon cupcakes in next 20 cupcakes sold is 1.33.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6
Now,
For 20 cupcakes
Let the number of lemon cupcakes be x
8+6+1=1lemon
15=1lemon
20=1*20/15lemon
=4/3lemon
Therefore, by algebra the answer will be 1.33lemons
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[3] a recipe for cookies calls for 3 +
Cups of gusar cam t has already
put in 31 Cups,how many morecups
does she need to put i n !l
Answers
The number of more cups that she needs to put in will be 28 cups.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
A recipe for cookies calls for 3 Cups of sugar. And t has already put in 31 Cups. Then the equation is given as,
t + 3 = 31
t = 31 - 3
t = 28 cups
The number of more cups that she needs to put in will be 28 cups.
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7.
Find the circumference of the circle in terms of pi
OC -12.5
0 - 13.1
OC -14.3
OC - 42.9m
6.55
Answers
The circumference of the circle is 6.55π
How to determine the circumferenceThe circumference of a circle is given by the formula:
C = πd
Where d is the diameter of the circle.
We are given that the diameter is 6.55, so we can substitute this value into the formula to find the circumference:
C = π(6.55)
Evaluate
C = 6.55π
Hence, the circumference of the circle, in terms of pi, is approximately 6.55π
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Complete question
Find the circumference of the circle in terms of pi
Diameter = 6.55
The difference between Monica’s age and her father’s age is 32 years.16 years ago her father was 9 times as old as Monica. Find Monica’s age and her father’s age
Answers
Monica's age is 20 years and her father's age is 52
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
Represent Monica's age by x and her father's age by y
y -x = 32 equation 1
y-16= 9(x-16)
= y-16 = 9x -144
y-9x = -144+16
y - 9x = -128 equation 2
subtract equation 2 from 1
-x-( -9x )= 32-(-128)
8x = 160
x = 160/8
x = 20
substitute 20 for x in equation 1
y = 32+x
y = 32+20
y = 52
Therefore Monica's age is 20 and her father's age is 52
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What is the area of the parallelogram?
Answers
Answer:
65 m²
Step-by-step explanation:
area of parallelogram = base × height
base = AB = 3 m + 10 m = 13 m
height = 5m
area = 13 m × 5 m
area = 65 m²
Clark gets a savings account that earns an interest rate of 0.5%. Clark starts with principle balance of $120. Use the equation I = prt where I = interest earning, p = principle balance, r = interest rate, and t = time in years. How much interest is earned, in dollars, when t = 10?
Answers
Clark earns $6 in interest when t = 10 years, and with principle balance of $120.
What is Interest ?When someone borrows a particular amount of money, they must pay interest. This phrase is frequently used in relation to banks, loans, payments, and investments. It is connected to the percentage, rate, and duration for which the borrowed amount of money is owed.
Using the formula I = prt, we can calculate the amount of interest earned by Clark over a period of 10 years:
I = prt
I = (0.005)(120)(10)
I = 6
Therefore, when t = 10 years, Clark earns $6 in interest.
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can somebody help me here
Answers
After multiplying and adding given equations, new equations are
3x² + 2xy - 8y² = -273 and 4x - 2y = -32 respectively.
Solutions of the equations are x = -5 and y = 6.
What is linear equation?A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant.
Given equations,
a) x + 2y = 7
b) 3x - 4y = -39
Multiplying both equations
(x + 2y)(3x - 4y) = (7)(-39)
Using Foil method (a+b)(c+d) = ac + ad + bc + bd
3x² - 4xy + 6xy - 8y² = -273
3x² + 2xy - 8y² = -273
Which is a new equation.
Adding both equations
(x + 2y)+(3x - 4y) = (7)+(-39)
Adding like terms, we get
4x - 2y = -32
Solving the equations (a) and (b)
a) x + 2y = 7
x = 7 - 2y
Substituting x in terms of y in equation (b)
b) 3x - 4y = -39
3(7 - 2y) - 4y = -39
21 - 6y - 4y = -39
-10y = -60
y = 6
then x = 7 - 2(6)
⇒ x = - 5
Hence, x = -5 and y = 6 are solutions of given equations.
3x² + 2xy - 8y² = -273 is the equation, after multiplying both equations.
4x - 2y = -32 is equation after both equations are added.
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TREES From point A,
the angle of elevation to the top of a pine tree is 42°.
From point B,
on the same side of the tree, the angle of elevation to the top of the tree is 50°.
If point A
and point B
are located 12
feet apart and are both at ground level, what is the approximate height of the tree to the nearest foot?
Answers
Answer:
44 ft
Step-by-step explanation:
To find the height of the tree, h, model the given scenario as a two right triangles and solve using the tan trigonometric ratio.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Tan trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]
See attached for a diagram modelling the given information.
Create two tan ratios using the given information, and rearrange each equation to isolate x.
Equation 1
Given:
θ = 42°O = hA = x + 12Therefore:
[tex]\begin{aligned}\implies \tan 42^{\circ}&=\dfrac{h}{x+12}\\\\ x+12&=\dfrac{h}{\tan 42^{\circ}}\\\\ x&=\dfrac{h}{\tan 42^{\circ}}-12\end{aligned}[/tex]
Equation 2
Given:
θ = 50°O = hA = x[tex]\begin{aligned}\implies \tan 50^{\circ}&=\dfrac{h}{x}\\\\ x&=\dfrac{h}{\tan 50^{\circ}}\end{aligned}[/tex]
To find the value of h, substitute equation 2 into equation 1 to eliminate x and solve for h:
[tex]\implies \dfrac{h}{\tan 50^{\circ}}=\dfrac{h}{\tan 42^{\circ}}-12[/tex]
[tex]\implies \dfrac{h}{\tan 50^{\circ}}-\dfrac{h}{\tan 42^{\circ}}=-12[/tex]
[tex]\implies \dfrac{h\tan 42^{\circ}-h\tan 50^{\circ}}{\tan 50^{\circ}\tan 42^{\circ}}=-12[/tex]
[tex]\implies \left(\dfrac{\tan 42^{\circ}-\tan 50^{\circ}}{\tan 50^{\circ}\tan 42^{\circ}}\right)h=-12[/tex]
[tex]\implies h=\dfrac{-12\tan 50^{\circ}\tan 42^{\circ}}{\tan 42^{\circ}-\tan 50^{\circ}}[/tex]
[tex]\implies h=44.1967977...[/tex]
Therefore, the approximate height of the tree to the nearest foot is 44 ft.
SOLVE FOR X AND Y PLEASE AND THANKS
Answers
Measures of angles, x = 93° and y = 97°
What is cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral with all four vertices on a circle. Also called an inscribed quadrilateral. A circle consisting of all vertices around a polygon is known as the circumcircle.
Given,
Interior angles of quadrilateral
= x° , y° , 83°
Arc angles on the center of circumcircle are 64° and 122°.
angle made by chord on the center is twice to the angle made on the circumference of the circle
64° + 122° = 2x
186° = 2x
x = 186°/2
x = 93°
In cyclic quadrilateral,
Sum of opposite interior angles is 180°
y + 83° = 180°
y = 180° - 83°
y = 97°
Hence, measure of angles x and y are 93° and 97° respectively.
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How many 90 hours in a week ?
Answers
There are 168 hours in a week. Therefore, there are approximately 0.536 weeks in 90 hours.
Time conversion is the process of converting a given amount of time from one unit of measurement to another. It involves using conversion factors to change the numerical value of the time while keeping the duration constant.
For example, converting a duration from hours to minutes involves using a conversion factor of 60 minutes per hour. To convert, you multiply the number of hours by 60 to get the equivalent duration in minutes.
To get this answer, you can divide the number of hours (90) by the total number of hours in a week (168):
90 hours ÷ 168 hours/week = 0.536 weeks (rounded to three decimal places)
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If x= 44° and a = 32°, what is the measure of b?
60°
76°
120°
30°
Answers
The angle 'b' measure 120 degrees from the diagram.
Solving angles in circle geometryThe given diagram is a circle geometry. Given the following parameters
x= 44° and;
a = 32°
In order to determine the measure of angles 'b'. we will use the expression below;
x = 1/2(b + a)
44 = 1/2 (b- 32)
88 = b - 32
b = 88 + 32
b = 120 degrees
Hence the measure of the angle 'b' from the diagram is 120 degrees.
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Please help asap!!!!!
Answers
Answer:
s = 9
Step-by-step explanation:
A = s^2
81 = s^2
√81 = s
s = 9
The speed of a transverse wave is 25 m/s, if the source produces a disturbance that has a frequency of 200 Hz, what is the wavelength of the wave?
Answers
The wavelength of the wave is 0.125 m.
What is Wavelength?A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings.
A sinusoidal waveform's wavelength (λ) is determined by the equation
λ= ν/f,
where ν denotes the wave's phase speed (or magnitude of the phase velocity) and f denotes its frequency.
According to the given information,
Speed of transverse wave, ν = 25 m/s
Frequency, f = 200 Hz
We know the formula, λ= ν/f
By substituting the values, we get
λ = 25/200
λ = 0.125m
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This question is related to Physics.
Ahmad rented a truck for one day. There was a base fee of 20.95 , and there was an additional charge of 84 cents for each mile driven. Ahmad had to pay 221.7 when he returned the truck. For how many miles did he drive the truck?
Answers
The total number of miles Ahmad drove the truck is given by the equation A = 238.988 miles ≈ 240 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The base fee of the truck = $ 20.95
The cost for each mile driven = $ 0.84
The total amount Ahmad paid = $ 221.7
Let the total number of miles be A
Now , the equation will be
The total amount Ahmad paid = base fee of the truck + cost for each mile driven x total number of miles
Substituting the values in the equation , we get
221.7 = 20.95 + ( 0.84 )A
Subtracting 20.95 on both sides of the equation , we get
0.84A = 200.75
Divide by 0.84 on both sides of the equation , we get
A = 238.988 miles
Hence , the equation is A = 238.988 miles
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