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PilotLPTM [1.2K]
3 years ago
6

What is the axis of symmetry for the graph of y-4x=7-x^2

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0
It is symmetrical about the y axis
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Graham graphs the following system of equations to determine its solution.
V125BC [204]

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

3 0
3 years ago
A square lawn has area 98 ft². A sprinkler placed at the center of the lawn sprays water in a circular pattern as
torisob [31]

The radius of the circle exists approximately 4.95 feet.

<h3>How to estimate the radius of the circle?</h3>

Given the area of the square as A = 98 ft²

The side length of the square choice is equivalent to the diameter of the circle.

First, we must obtain the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Thus the diameter of the circle exists at 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Therefore the radius of the circle exists approximately 4.95 feet.

To learn more about the radius of circle refer to:

brainly.com/question/19568457

#SPJ9

3 0
2 years ago
Sonya has 140 beads. how many bags of 10 beads does she need so that she will have 200 beads in all
Vikentia [17]
If Sonya already has 140 beads, she needs 60 beads in order to have a total number of 200 beads. You have to find how many bags (that hold 10 beads) are needed to add up to 60.

140 + 10x = 200
10x = 60
x = 6

Sonya needs 6 bags 
7 0
3 years ago
Read 2 more answers
Helppp!!!! please!!!
Ulleksa [173]

Answer:

\boxed{Area = 32.5 mm^2}

Step-by-step explanation:

Area of Triangle = \frac{1}{2} (Base)(Height)

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

5 0
4 years ago
Read 2 more answers
Find the slope of the line that goes through the points (1,9) and (3,15) and
Allisa [31]

Answer: B

Step-by-step explanation:

m=\frac{15-9}{3-1}=3

Substituting into y=3x+b,

9=3+b\\ \\ b=6 \implies y=3x+6

7 0
2 years ago
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