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faltersainse [42]
2 years ago
11

Convert to standard form of the equation into the slope intercept form -3x-5y=-15

Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0
Our goal is to get y by itself
We will first add 3x to both sides to get
-5y = 3x - 15
We will then divide both sides by -5 to get y by itself which becomes
y = -3/5x + 3
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The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angl
IgorC [24]

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

  • Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

  • Thus, the other angle = 2x

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<em><u>Complementary angles</u></em>

  • We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

3 0
2 years ago
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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
fredd [130]
Oooo ok
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3 years ago
Use the discriminant to describe the roots of each equation. Then select the best description.16x2 + 8x + 1 = 0double rootreal a
SSSSS [86.1K]

Hello!

The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.

The value of the discriminant will tell us how many solutions there are to the given quadratic equation.

A positive discriminant will have two real solutions.

A discriminant of zero will have one real solution.

A negative discriminant will no real solutions.

1. Substitute, a = 16, b = 8, c = 1.

8² - 4(16)(1)

64 - 4(16)(1)

64 - 64(1)

64 - 64

0

Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.

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3 years ago
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Dennis_Churaev [7]

The surface area is

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3 years ago
Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2
lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0
3 years ago
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