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kenny6666 [7]
3 years ago
8

Does (7, 0) make the equation y = x + 7 true?​

Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

No

Step-by-step explanation:

Given

y = x + 7

To determine if (7, 0) is a solution of the equation

Substitute x = 7 into the equation and if the result is 0 then it is a solution

y = 7 + 7 = 14 ≠ 0

Hence (7, 0) is not a solution

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
Rewrite the function W= 50+2.3(h-60) in order to express height as a function of weight
OLga [1]
You need to solve the equation for h.

<span>W= 50+2.3(h-60)

Distribute the 2.3.

W = 50 + 2.3h - 138

W = 2.3h - 88

Add 88 to both sides.

W + 88 = 2.3h

Switch sides.

2.3h = W + 88

Divide both sides by 2.3.

h = (W + 88)/2.3
</span>
5 0
3 years ago
Use the Distributive Property <br> 8(3x+2)
MA_775_DIABLO [31]

Answer:24x+16

Step-by-step explanation:

8 0
3 years ago
Ok last question for today <br> Will mark brainliest
Pepsi [2]

Answer:9


Step-by-step explanation:

8 * 9 = 72

8, 16, 24, 32, 40, 48, 56, 64, 72

1, 2, 3, 4, 5, 6, 7, 8, 9

3 0
3 years ago
I need help with this question asap!
Tpy6a [65]

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle.  That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

15 =x

7 0
3 years ago
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