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Oksi-84 [34.3K]
3 years ago
10

Which statement describes the first step to solve the equation by completing the square?

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
<span>Ans: Multiply both sides of the equation by 1/3 .

3x^2 + 18x = 21
</span>Multiply both sides of the equation by 1/3 . [because coefficient of x^2 must be 1]
x^2 + 6x = 7

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The expression <img src="https://tex.z-dn.net/?f=%28%20x%5E%7B1%2F2%7Dy%5E%7B-2%2F3%7D%29%5E-6%20%20" id="TexFormula1" title="(
forsale [732]
Y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3  = y^4 / x^3

A
8 0
3 years ago
Assume that the lines that appear to be tangent are tangent p is the center if each circle find x. ​
Elodia [21]

Answer:

Step-by-step explanation:

Problem One

All quadrilaterals have angles that add up to 360 degrees.

Tangents touch the circle in such a way that the radius and the tangent form a  right angle at the point of contact.

Solution

x + 115 + 90 + 90 = 360

x + 295 = 360

x + 295 - 295 = 360 - 295

x = 65

Problem Two

From the previous problem, you know that where the 6 and 8 meet is a right angle.

Therefore you can use a^2 + b^2 = c^2

a = 6

b =8

c = ?

6^2 + 8^2 = c^2

c^2 = 36 + 64

c^2 = 100

sqrt(c^2) = sqrt(100)

c = 10

x = 10

Problem 3

No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.

That means that the measurement left is 10 - 4 = 6

x and 6 are both tangents from the upper point of the line marked 10.

Therefore x = 6

4 0
3 years ago
Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −
deff fn [24]
Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9
4 0
3 years ago
Read 2 more answers
Find the distance between the points (0,-9) and(4,-6)
Len [333]

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d=\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}

2. plug in the points: d=\sqrt{(0-4)^{2} +(-9+6)^{2}

3. solve problem inside parentheses: d=\sqrt{(-4)^{2} +(-3)^{2}

4. square -4 and -3: d=\sqrt{16+9

5. add:d=\sqrt{25

6. find square root: d=5

8 0
3 years ago
HELP MEE ;-;<br><br> 2/3a - 7= 1/3 Round your answer to the nearest tenth.
Dmitriy789 [7]

Answer:

a=11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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