Answer:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Given: A line is drawn between points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]
To find: distance between the two points
Solution:
A coordinate plane is a two-dimensional plane formed by the intersection of a y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.
Let d denotes distance between the two points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]
Use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between the two points show on the coordinate plane is D = √[(x₂-x₁)²+(y₂-y₁)²]. Therefore, the correct answer is option C.
The given coordinate points are (x₁, y₁) and (x₂, y₂).
The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.
On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is
Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Therefore, the correct answer is option C.
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describe how you can find distances using a scale drawing.
Answer: Calculating the Actual Distance using the Scale
Step-by-step explanation: If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
What is the simplified form of the following expression?
11[(92 – 52) = 22 + 8]
O A. 224.5
O B. 242
C. 51.3
OD. 110
Answer:
B. 242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
it's 9 squared and 5 square. 9^2 5^2
Carmen creates the ratio table below based on one 8-ounce serving of juice
How many total calories will 4 servings of juice contain?
A) 420
B) 520
C) 650
D) 780
Answer:
B
Step-by-step explanation:
The pattern is adding 130, or multiply the servings by 130.
so if 3x=390, you would divide both sides by 3 and get 130.
This means that x=130
Now plug in 4x=?
You would get 4*130=?
if you do the math through multiplication you would get 520
Answer:
B
Step-by-step explanation:
I got the unit test right on edg 2020
Can anyone help me with this ?
Answer:
b i think
Step-by-step explanation:
integers are natural numbers.
Answer: False
Step-by-step explanation:
Hope this helps
Consider this polynomial, where a is an unknown real number.
Braulio
(a. correctly
b. incorrectly)
found the value of a because he
(a. correctly performed synthetic division
b. should’ve solved the equation a + 14 = -17
c. should have used -1 instead of 1
d. made a mistake in the fourth column of his work )
zahra
(a. incorrectly
b. correctly)
found the value of a because she
(a. incorrectly applied the powers to -1
b. should have substituted 1 instead of -1
c. should have solved the equation a + 18 = -17
d. correctly substituted and evaluated the polynomial)
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
-1 -4 (4 - a) (a - 1)
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer: incorrectly, should have used -1 instead of 1
incorrectly, incorrectly applied the powers to -1
Step-by-step explanation:
anyone can help me this thankyou
Answer:
s² - 225 = 0
Step-by-step explanation:
Area of square = side * side
s * s = 225
s² = 225
s² - 225 = 0
convert 7.2 • 10^-3 to standard form.
A) 72,000
B) 7,200
C) 0.0072
D) 0.00072
Answer:
i think the answer is C
Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.
ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.
1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.
PLSSS FAST
3x 300
x = 10
x = 100
X =
100
x = 297
Answer:
x=100
Step-by-step explanation:
In the diagram shown below, Points M, N and P are collinear. If MN = 3x-9, NP = x+1 and MP= 6x-22, solve for the value of X (Answer notation: x=__)
Answer:
The value of x is 7
Step-by-step explanation:
M, N and P are collinear means they lie on the same line.
Mathematically;
MP = MN + NP
Thus;
6x-22 = 3x -9 + x + 1
6x-22 = 4x -8
6x -4x = -8 + 22
2x = 14
x = 14/2
x = 7
Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting
Answer:
B
Step-by-step explanation:
susuusjakaajjajajajaajajaj
What is the value of the expression x-3y when x=6 and y=12
Answer:
-30
Step-by-step explanation:
Original Equation:
x - 3y
Plug in the values.
6 - 36
-30
Hope I helped :)
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Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?
sin(49°)
cos(49°)
sin(157°)
cos(157°)
Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
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What is the inverse of function f? f(x)=10/9r+11
[tex]f(x) = \frac{10}{9}x + 11 \\ [/tex]
So :
[tex]y = \frac{10}{9}x + 11 \\ [/tex]
Subtract the sides of the equation minus 11
[tex]y - 11 = \frac{10}{9}x \\ [/tex]
Multiply the sides of the equation by 9
[tex]9(y - 11) = 10x[/tex]
[tex]9y - 99 = 10x[/tex]
Divided the sides of the equation by 10
[tex] \frac{9y - 99}{10} = x \\ [/tex]
So :
[tex] {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Alyssa’s lemonade recipe calls for 9 lemons for every 2.5 gallons of water. Brian’s recipe calls for 12 lemons for every 4 gallons of water. Whose lemonade will require more water if they each use 36 lemons? . can you help me
Answer:
Alyssa’s lemonade recipe
Step-by-step explanation:
→ Work out how much lemons is needed per gallon for Alyssa’s lemonade recipe
9 lemons = 2.5 gallons
(÷ 2.5) = (÷ 2.5)
3.6 lemons = 1 gallon
→ Work out how much lemons is needed per gallon for Brian’s lemonade recipe
12 lemons = 4 gallons of water
(÷ 4) = (÷ 4)
3 lemons = 1 gallon of water
→ Now compare
Alyssa’s lemonade recipe ⇒ 3.6 lemons = 1 gallon
Brian’s lemonade recipe ⇒ 3 lemons = 1 gallon of water
Brian's lemonade recipe requires more water.
Alyssa uses 10 gallons of water for 36 lemons. Brian uses 12 gallons of water for 36 lemons. Therefore Brian's lemonade recipe requires more water.
Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4
[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]
[tex]y = \frac{1}{3}x - 4 \\ [/tex]
Subtract the sides of the equation plus 4
[tex]y + 4 = \frac{1}{3}x \\ [/tex]
Multiply the sides of the equation by 3
[tex]3(y + 4) = x[/tex]
[tex]3y + 12 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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How does 8 × 2 1 3 compare to 8? A) Less than 8 because you are multiplying by number less than 1. B) Greater than 8 because you are multiplying by a number less than 1. C) Less than 8 because you are multiplying by a number greater than 1. D) Greater than 8 because you are multiplying by a number greater than 1.
Answer:
Greater than 8 because you are multiplying by a number greater than 1.
Step-by-step explanation:
When 8 is multiple by another number, say x, the product is;
I) less than 8 if x<1
ii) equal to 8 if x=1
iii) greater than 8 if x> 1
Since 213 is greater than 1,then the product of 8 × 2 1 3 is greater than 8.
For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:
Answer:
It's A
Step-by-step explanation:
find the value of x, I need help with that
Answer:
x = 62
Step-by-step explanation:
just do vertically opposite:
180-90-28 = 62
because they are vertically opposite, x=62
also could do:
90-28=62
60 percent of what number is 30? StartFraction 60 times 2 Over 30 times 2 EndFraction = StartFraction 120 Over 60 EndFraction StartFraction 30 divided by 1 Over 60 divided by 1 EndFraction = StartFraction 30 Over 60 EndFraction StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction StartFraction 100 times 2 Over 30 times 2 EndFraction = StartFraction 200 Over 60 EndFraction
Answer:
C.
Step-by-step explanation:
I answerd this on Edgenuity and got it right.
Answer:
Its C..
Step-by-step explanation:
I just took the test on edge.
Hope this helps
Ratio of AC:CB???
.———.—————.
Answer:
2:3 I think
Step-by-step explanation:
What is the simplified expression for the expression below?
-1(2x + 3) – 2(x - 1)
0 4x + 1
-4X-2
-4x+2
-4x - 1
I need help ASAP !!! Timed test
9(3+c+4)
I need the answer ASAP please
Tate started at -12 on a number line and drew a line to -25. How long is the line he drew?
Answer:
-13
Step-by-step explanation:
-25-(-12)
PLEASE HELP ASAPPPPPP
Answer:
y = x
Step-by-step explanation:
The C's are both placed at 5
Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.
Answer:
The side lengths of the triangle are 14, 16, and 18.
Step-by-step explanation:
(x) + (x + 2) + (x + 4) = 48
3x + 6 = 48
3x = 42
x = 14
(14) = 14
(14 + 2) = 16
(14 + 4) = 18
The required lengths of side of triangle are 14 in, 16 in and 18 in.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Sides of a triangle are consecutive integers.
Also given that,
Perimeter of triangle is 48.
Let the sides of triangle are x, x+2 and x +4.
x + x + 2 + x + 4 = 48
3x = 48 - 6
3x = 42
x = 14
The length of the triangles
x + 2 = 14 + 2 = 16
x + 4 = 14 + 4 = 18
The side lengths of the triangle are 14, 16 and 18.
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simplify.show work
(3·9-3²)-10
thanks please show work
Answer:
8
Step-by-step explanation:
We will use a variety of elementary arithmetic skills to evaluate this expression.
The order of operations goes as follows:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.
[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]
convert 86 meters to inches. ?
I'm so stuck rn because she says show how you got the answer never In a million years i thought i would never be doing medical math
Answer:
86 meters equals 3385.83 inches
825 centimeters equals 324.803 inches
Step-by-step explanation:
The formula is divide the length value by 2.54
Hope this helps!
What is the missing length of this rectangle?