What is the result of isolating y2 in the equation below?(x + 4)2 + y2 = 22

A.
y2 = x2 - 8x + 6

B.
y2 = 22 - x2

C.
y2 = -x2 - 8x + 16

D.
y2 = -x2 - 8x + 6

ALL y2 are y^2

Answers

Answer 1
Answer: STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

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A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

Brainly for correct answer!!The diagram shows two parallel lines cut by a transversal. One angle measure is shown.


Find the values of A B C D E F and G

Answers

The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

The diagram shows two parallel lines cut by a transversal.

As we know from the definition of the vertically opposite angles:

b = 54 degrees

a + c = 54 + b  (a = c)

2a = 54x2

a = 54 degrees

Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.

Similarly:

b = 54

c = 126

d = 54

e = 126

f = 54

g = 126

Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ2

Answer:

a= 126

b= 54

c= 126

d= 54

e= 126

f= 54

g= 126

Step-by-step explanation:

To find a you would subtract 54 from 180 which would give you 126

Since a and b are another linear pair they would also add up to 180.

Then you move to c which is a linear pair with 54 so it is 126.

Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.

(5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False

Answers

Answer:

False

Step-by-step explanation:

y=5x + 5

0=5 (5)+5

0=10+5

0≠15

False

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown. f(x) = 3(x2 – 8x) + 10 = 16

Answers

In order to convert f(x) = 3x² – 24x + 10 which is in quadratic form to vertex form which will look like this y = a(x-h)² + k. You will have to use the process of completing the square. First we will isolate the x² and x terms.



y = 3(x² - 8x) + 10



We take -8 and divide by 2 to get -4 and finally square it which gives us 16. We add these to make it a perfect square and subtract 16 so that we do not change it. We will get:



y = 3(x² - 8x + 16 - 16) + 10

y = 3((x - 4)² ) - 48 + 10

y = 3(x - 4)² - 38



I hope this helps, Regards.




detailed solution is attached..
Enjoy!

4 + 6x + 5 = 7x Could someone help me? Thanks :) And could you also show how u did it

Answers

Answer:

x=9

Step-by-step explanation:

combine like terms

4+6x+5=7x

4+5=9

9+6x=7x

to get 6x with 7x subtract 6x from both sides as its positive

6x-6x=0

7x-6x=x

9=x

x=9

D/4 -7 =-12d/4 -7 =-12

Answers

Answer:

jhvb

Step-by-step explanation:

jkbh