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Degger [83]
2 years ago
10

What is z? will give brainliest:)

Mathematics
1 answer:
OLga [1]2 years ago
8 0

Answer:

z = 1

Step-by-step explanation:

Since this is an equation we can cross multiply the fractions

7/z = 84/12 ➡ 84×z = 7×12

84z = 84 divide both sides by 1

z = 1

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What is the equation of the line that passes through the point (6,3) has a slope of -1/3
DerKrebs [107]

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = mx + b

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5 0
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Ana’s age is 8 years less than 4 times her sister’s age.
allsm [11]
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Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
Help need answer ASAP due in 10 minutes
enyata [817]

Answer:

1) about 9 or 8.7

2) 4

3) about 5 or 4.5

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6) 2

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