Answer:
(2,11 2/3) or (2,(35/3))
Step-by-step explanation:
5x-3y=-25
For x = 2:
5(2)-3y=-25
10-3y=-25
-3y=-35
y = (35/3) or 11 2/3
(2,11 2/3)
Answer:
X = -2
Y= 5
You use:
5x-3(5)=-25
and
5(-2)-3y=-25
Here are the endpoints of the segments BC, FG, and JK.
B, −67
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]
[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]
[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]
Find the derivative of tan(x).
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Derivative of tan(x) is sec²x
[tex]\qquad \sf \dashrightarrow \: \therefore \dfrac{d}{dx} ( \tan(x)) = { \sec}^{2} (x)[/tex]
You can check the first principle method of derivation in attachment
[tex]\rightarrow \sf \dfrac{d}{dx} (tan(x))[/tex]
[tex]\rightarrow \sf \dfrac{d}{dx} ( \ \dfrac{sin(x)}{cos(x)} \ )[/tex]
use the quotient rule
[tex]\rightarrow \sf \dfrac{cos(x) * \dfrac{d}{dx} (sin(x)-sin(x)*\dfrac{d}{dx}(cos(x) }{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x) * cos(x)-sin(x)*(-sin(x) )}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x)^2+sin(x)^2}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{1}{cos(x)^2}[/tex]
[tex]\rightarrow \sf sec(x)^2[/tex]
used formula's :
cos²(x) + sin²(x) = 1[tex]\sf \dfrac{1}{cos^2(x) }= sec^2(x)[/tex][tex]\sf \frac{d}{dx}[/tex] cos(x) = -sin(x)[tex]\sf \frac{d}{dx}[/tex] sin(x) = cos(x)tan(x) = sin(x)/cos(x)Pls pls pla help it lol
Write an exponential function for the graph
A. Y=0.5(2)x
B. Y=2(0.5)x
C. Y=(2•0.5)x
D. Y=2(5)x
Answer: c
Step-by-step explanation: Simple addition with decimals.
Can someone not just tell me the answer but how to do it pls!!!
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
this is the second part of my homework
pls help me if u can :)
Answer:
no 4. radius is x
no 5. radius is a
no 6. radius is y
Step-by-step explanation:
have no idea about tangents
Solution 4 :-
⠀
Tangent = RYPoint of tangency = RRadius = XT⠀
Solution 5 :-
⠀
Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT⠀
Solution 6 :-
⠀
Radius = YSSecant = TUTangent = ST⠀
★ Important terms to keep in mind :-
⠀
✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.
⠀
✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.
⠀
✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.
⠀
✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.
⠀
✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.
⠀
✰ Secant : A line segment joining exactly two points of a circle is known as secant.
⠀
✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Step-by-step explanation:
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN
Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.
Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.
point M
point Q
segment PM
segment QM
Answer: point M
Step-by-step explanation:
Answer: point M
i took the test
The base of a solid s is the region bounded by the circle x^2 y^2=16
The circle has a center at the origin (0, 0) and have a radius of 4 units.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is constant.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
The circle given by the equation:
x² + y² = 16
Hence the center is (0, 0) and the radius is 4 units.
The circle has a center at the origin (0, 0) and have a radius of 4 units.
Find out more on circle at: https://brainly.com/question/24375372
The center is (0, 0) and the radius is 4 units.
What is the circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The base of a solid is s is the region bounded by the circle is;
[tex]\rm x^2+ y^2=16[/tex]
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
On comparing with the standard equation of a circle;
h = 0 , k = 0 and r =4
Hence. the center is (0, 0) and the radius is 4 units.
Learn more on the circle at:
brainly.com/question/24375372
Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?
Answer:
Pu.s - pc = 0
Pu.s -pc ≠ 0
(Answer D)
Step-by-step explanation:
Kahn
The appropriate set of hypotheses for Alex's significance test is option D.
What is Hypothesis Testing?Hypothesis testing is the testing of the relationship between two variables for something we needed to test.
There is null hypothesis and alternate hypothesis.
Null hypothesis, H₀ is the statement we need to test.
Alternate hypothesis, H₁, is true if null hypothesis is false.
Here, given that,
Alex wonders if the same proportion of people are left-handed in the United States and Canada.
He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.
H₀ : there is no significant difference
H₁ : there is a significant difference
So the correct option is,
H₀ : p(U.S) - p(C) = 0
H₁ : p(U.S) - p(C) ≠ 0
Hence the correct option is D.
Learn more about Hypothesis here :
https://brainly.com/question/31319397
#SPJ2
The decimal value of 5/8
0.625
Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.
Dividing 5/8, It's Equal To 0.625
Step-by-step explanation:
5/8 = O.625
Solve and check 5x-12=3x+24 (I’m so lost)
In this equation x=18
Work Shown:
5x-12=3x+24
Add 12 to both sides
5x-12+12=3x+24+12
Simplify
5x=3x+36
Subtract 3x from both sides
5x-3x=3x+36-3x
Simplify
2x=36
Divide both sides by two
2x/2 = 36/2
Simplify
x=18
Answer:
x=18
Step-by-step explanation:
1. Add 12 to both sides
5x-12 +12 = 3x+24 +12
2. Simplify
5x=3x+36
3. Subtract -3x from both sides
5x-3x=3x+36-3x
4. Simplify
2x=36
5. Divide both sides by same factor (2)
2x/2=36/2
6. Simplify
ANSWER: x=18
34,678 rounded to the nearest hundred.
Answer:
34,700.
Step-by-step explanation:
The tens digit is 7 so we round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.
Answer:
34,700
Step-by-step explanation:
34,678
3 is in the ten thousands place
4 is in the thousands place
6 is in the hundreds place
7 is in the tens place
8 is in the ones place
When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.
So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.
400, 500, 600, 700
As you can see, the nearest hundred is 700
Our answer would be 34,700
Hope this helps!
need some help with this question in the image
Answer:
1a. first 7×9=63 Then substracting 16 we get 47 and 2-47= -45
Answer:
a. - 77
b. 4
c. 5x-14
d. 14
Step-by-step explanation:
a. 2-(7*9)-16
=> 2-63-16
=>(-61) - 16
=> -77
b.64 / 4+(3*4)
=> 64 / 4+12
=> 64 / 16
=> 4
c. 3x+2(x-7)
=> 3x+2x - 14
=> 5x-14
d. 5 + 6^2/ 4
=> 5+ 36/4
=> 5+9
=> 14
J^3 = 0.125 (I don’t understand help me please)
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ J^3=0.125\implies J^3=\cfrac{0125}{1000}\implies J^3=\cfrac{1}{8}\implies J^3=\cfrac{1}{2^3} \\\\\\ J^3=2^{-3}\implies J^3=(2^{-1})^3\implies J=2^{-1}\implies J=\cfrac{1}{2}[/tex]
HELP
Which decimal is greater than 1.89?
1.54
1.79
1.97
1.35
Answer:
1.97>1.89
Step-by-step explanation:
All of the other options are less than 1.89.
1.54 < 1.89
1.79 < 1.89
1.35 < 1.89
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Find the circumference and the area of a circle with radius 4 ft
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
A plane flies 100km north and then flies 400km south, what is its new position?
Answer:
300km south
Step-by-step explanation:
Go up once from original position then down four times
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
4
Step-by-step explanation:
A.
subtract both slopes
B.
in word problems:
"rate of change" means slope
C.
1. horizontal line's slope is 0
2. number next to the x is the slope
y = 4x + 1 : slope is 4
3. "How much more" is word problems means subtract
4 - 0 = 4
D.
horizontal and vertical lines' slopes are 0
100 points and brainliest if u answer this right
Consider this dilation
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
a) Enklargement, b) k = 2Step-by-step explanation:
a)
The original figure is ABC and the image is A'B'C'.
We can see the image is larger than the original figure.
It indicates that the dilation is an enlargement.
b)
Find the ratio of corresponding sides to find the scale factor.
First get the measure of corresponding line segments.
AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8The scale factor is:
k = A'C'/AC = 8/4 = 2#1
Enlargement#2
Take two sides of both
BC=|-3-1|=4unitsB'C'=|-3-5|=8unitsScale factor:-
k=8/4=2Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56
4
Elijah is given a birthday cake. He is rather selfish and does not share this cake with anyone
else. On the first day he eats 2/5 of the cake and on the second day he eats 3/7 of the cake. What
fraction of the cake is now left?
Answer:
6/35
Step-by-step explanation:
so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.
they had to have the same number as their denominator.
so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)
then we have 14/35 and 15/35 so we can add them together to find out 29/35
then we minus it from 35/35 to find out how much is left
35/35 - 29/35 is 6/35 , which is our answer
A dairy farmer plans to enclose a rectangular pasture (of length x and width y) adjacent to a river to provide enough grass for the herd, the farmer has 240m of fencing material. No fencing is required along the river. What should be the dimensions of the pasture that will provide the maximum area of pasture?
explain with steps. Tnx
Answer:
Step-by-step explanation:
The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.
In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80
Hope this helped :)
The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?
A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees
Answer:
a 9 degrees
Step-by-step explanation:
so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9
what value can replace the question mark to make the statment true? 3 2/8 + ? = 7 1/8
Hello!
Question:what value can replace the question mark to make the statement true? 3 2/8 + ? = 7 1/8
Answer:
[tex]3\frac{7}{8}[/tex] Option B.
Step-by-step explanation:
Rewriting our equation with parts separated
[tex]= 7+\frac{1}{8}-3-\frac{2}{8}[/tex]
Solving the whole number parts
[tex]7-3=4[/tex]
Solving the fraction parts
[tex]\frac{1}{8} -\frac{2}{8} =-\frac{1}{8}[/tex]
Combining the whole and fraction parts
[tex]4-\frac{1}{8} =3\frac{7}{8}[/tex]
Therefore, the answer is 3 and 7/8
Hope this helps!
If you have any questions please ask!
Hey there!
3 2/8 + x = 7 1/8
13/4 + x = 57/8
x + 13/4 = 57/8
SUBTRACT 13/4 to BOTH SIDES
x + 13/4 - 13/4 = 57/8 - 13/4
SIMPLIFY IT!
x = 27/8
x = 3 7/8
Therefore, your answer is: x = 3 7/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
i need help with the second part of the question please helppp!!! will give brainliset
Answer:
$79.99
Correct method:
[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]
[tex]\rightarrow \sf 5r-72.5=327.45[/tex]
[tex]\rightarrow \sf 5r=327.45+72.5[/tex]
[tex]\rightarrow \sf 5r=399.95[/tex]
[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]
[tex]\rightarrow \sf r=79.99[/tex]
The regular price is $79.99
Answer:
$79.99
Step-by-step explanation:
The error is in step 3. He needed to ADD 72.50 to both sides of the equation. Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.
Correction calculation
5(r - 14.50) = 327.45
5r - 72.50 = 327.45
5r = 399.95
r = 79.99
The regular price is $79.99
Find the measure of the missing angle in this triangle
Answer:
c = 40degrees
Step-by-step explanation:
the sum of a triangle should be 180 degrees
you need to ad 80+60 which is 140 then minus 140 from 180 which is 40 so 40 degrees is the measurement of angle c
each child has 9 crayons.if there are 38 children ,how many crayons are there in total?
Answer:
342
Step-by-step explanation:
9x38=342, so the answer is 342 crayons
Answer:
342 crayons
Step-by-step explanation:
Each child has 9 crayons. This means each one of the children has 9 crayons for himself or herself. So if there are 38 children,it means each one of the 38 children has 9 crayons.
The total number of crayons is therefore gotten by multiplyiong the number of crayons of each child(9) by the total number of children(38).
∴38×9=342.