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Evgesh-ka [11]
3 years ago
8

Write an equation of the line that passes (-3,3) and is perpendicular to the line 2y=8x-6

Mathematics
2 answers:
LenKa [72]3 years ago
5 0

Answer: y = (-1/4)x + 9/4

Step-by-step explanation:

2y = 8x - 6

So, y = 4x - 3 (Slope = 4)

Slope of perpendicular line = -1/4

Equation of line: y-3 = (-1/4)(x-(-3))

y-3 = (-1/4)x - 3/4

y = (-1/4)x + 9/4

nikitadnepr [17]3 years ago
4 0

Answer:

2y=8x-30 or -4x+y=-15

Step-by-step explanation:

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B) What is the power of y in 3y+2=14
DochEvi [55]

3y+2=14

Subtract 2 from both sides.

3y=12

Divide 3 from both sides.

y=4

Now for the second part. We'll do the same process as the first one.

x+7=19

 -7   -7

x=12

---

hope it helps

5 0
3 years ago
A group of 45 students went trip to the zoo. Each student paid $11.50 admission to the zoo. How much in all did the student pay
katrin2010 [14]

Answer:

517.50$

Step-by-step explanation:

11.50x45=517.50

5 0
3 years ago
Read 2 more answers
Please answer this correctly
ankoles [38]

Answer:

6 ties

Step-by-step explanation:

At least 37 but fewer than 63 makes it 37-62

So,

37-62 => 6 ties

4 0
3 years ago
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square
N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \frac{x^2}{10} + \frac{y^2}{15} = 1

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

  • Directrices at x = ±2
  • Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1

So, we have:

\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1

Evaluate

\frac{x^2}{10} + \frac{y^2}{15} = 1

Hence, the equation of the hyperbola is \frac{x^2}{10} + \frac{y^2}{15} = 1

Read more about hyperbola at:

brainly.com/question/3405939

#SPJ1

6 0
2 years ago
Steven has a stamp collection with 32 stamps. Only 1/4 of the stamps are from the United States. How many stamps are from the U.
Natasha_Volkova [10]

Answer:

I believe the answer would be 8 because if you divide 32 by 4 you get eight and that would be 1/4 of 32

Step-by-step explanation:

5 0
3 years ago
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