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MAXImum [283]
3 years ago
14

PLEASE HELP! What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

The indicated angles are vertical and therefore congruent, hence

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

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MakcuM [25]

Answer:

9,150,625.

Step-by-step explanation:

6 0
3 years ago
Adrian’s recipe for cranberry relish calls for 1 1/4 cups of sugar. He wants to use 1/2 that amount. How much sugar should he us
REY [17]
12/4 she uses for surgar

8 0
3 years ago
Convert the circle to standard form.<br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%20%20%7B9y%7D%5E%7B2%7D
lara31 [8.8K]

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows:  x^2 + 2x

Start with x^2 + 2x

1.  Take half of the coefficient of x, which results in 2/2, or 1

2.  Square this result and add it to, and subtract it from x^2 + 2x

     x^2 + 2x + 1 - 1

3.  Rewrite the first three terms as the square of a binomial:  

     x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.

7 0
2 years ago
A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t
Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

(x^2+18x)+(y^2+14y)=-105

For the first section, complete the square for x^2+18x:

x^2+18x+81-81

(x+9)^2-81

Do the same for the second:

y^2+14y

y^2+14y+49-49

(y+7)^2-49

All together:

((x+9)^2-81)+((y+7)^2-49)=-105

(x+9)^2+(y+7)^2-130=-105

(x+9)^2+(y+7)^2=25

The center is (-9,-7).

The radius is \sqrt{25}=5

5 0
3 years ago
Will choose brainliest, needs helps with number 4!
Bess [88]

Answer:

Pls mark me brainliest!

Step-by-step explanation:

The significance is t

8 0
2 years ago
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