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Anuta_ua [19.1K]
3 years ago
10

Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

Mathematics
1 answer:
Darya [45]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we have

5x-2y=10

<em>Find the x-intercept</em>

Remember that the x-intercept is the value of x when the value of y is equal to zero

For y=0

5x-2(0)=10\\5x=10\\x=2

the x-intercept is the point (2,0)

<em>Find the y-intercept</em>

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

5(0)-2y=10\\-2y=10\\y=-5

the y-intercept is the point (0,-5)

using a graphing tool

Plot the intercepts and connect them to graph the line

see the attached figure

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At the movie theater, child admission is $5.20 and adult admission is $8.50. On Wednesday, 124 tickets were sold for a total sal
kozerog [31]

Answer:

75

Step-by-step explanation:

assuming that all are children(answer will be adult ticket at the end)

124×5.20=644.8

872.5-644.8=227.7

8.50-5.20=3.30

227.7÷3=75.9=75 tickets(no decimal cause tickets are sold as a whole)

5 0
3 years ago
Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i
liberstina [14]

Answer:

(2) a rotation by 180^{0} about the intersection of the lines creating the vertical angles.

Step-by-step explanation:

Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.

Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by 180^{0} about the intersection of the lines creating the vertical angles is required.

3 0
3 years ago
Find the value of x. Round to the nearest tenth.
Aliun [14]

Answer:

Step-by-step explanation:

Triangle XYZ is a right angle triangle.

From the given right angle triangle

XZ represents the hypotenuse of the right angle triangle.

With ∠34 as the reference angle,

YZ represents the adjacent side of the right angle triangle.

XY represents the opposite side of the right angle triangle.

To determine x, we would apply the Cosine trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 34 = x/28

x = 28Cos34 = 28 × 0.8290

x = 23.212

To the nearest tenth, it becomes

23.2

7 0
3 years ago
Also explain how you got your answer please
serg [7]

Answer:

?

Step-by-step explanation:

8 0
3 years ago
-2x + 7 = -32 i need all the steps
iris [78.8K]

Answer:

x = 19.5

Step-by-step explanation:

-2x + 7 = -32           (subtract 7 on both sides)

      -7     -7

-2x = -39                  (Divide by -2)

x = 19.5

     

7 0
3 years ago
Read 2 more answers
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