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4 years ago

Write an equation for the perpendicular line in slope intercept form (-3,7); y=1/3x-3

Mathematics

1 answer:

ExtremeBDS [4]4 years ago

4 0

Answer:

y = -3x - 2

Step-by-step explanation:

y=The given line is y = (1/3)x-3. The slope of a line perpendicular to this one is the negative reciprocal of (1/3), which is -3.

Use the point-slope form of the equation of a straight line, taking the given point (h,k) to be (-3,7):

y - k = m(x - h). Fill in the given info:

y - 7 = -3(x + 3), or y = -3x - 9 + 7.

Simplifying, we get y = -3x - 2.

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The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2. The y-intercept

Maru [420]

Answer:

$p(x) = - 0.7(x - 3)^{2} (x + 2)$

Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

$p(x) = a(x - 3)^{2} (x + 2)$

Also, it was given that, the y-intercept is y=-12.6.

This implies that:

$- 12.6= a(0 - 3)^{2} (0 + 2)$

$- 12.6= a(- 3)^{2} (2)$

$- 12.6= 18a$

Divide both sides by 18;

$a = \frac{ - 12.6}{18}$

$a= - 0.7$

Therefore the polynomial is

$p(x) = - 0.7(x - 3)^{2} (x + 2)$

7 0

4 years ago

What’s the first 1st term in the sequence given by :T(n)=n^2-4<br> Pls help

Zepler [3.9K]

First term = T(1) is obtained by plugging n = 1 into the formula,

thus First term = 1^2 - 4 = 1 - 4

= 3 (answer)

8 0

3 years ago

a car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallon g. How many g

ch4aika [34]

miles per gallon (x) = d/g

x = 476/14 = x = 34 miles per gallon

so d/x = g

578/34 = 17 gallons are needed

5 0

3 years ago

Read 2 more answers

A rectangular carpet measures 12 m by 5 m.

Zepler [3.9K]

Answer:

$\frac{1}{15}$

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

$\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}$ .

The fraction of the carpet that is covered by the rug is $\frac{1}{15}$ .

8 0

4 years ago

Im Desparate! So Very Desparate xD Please Answer All!

notsponge [240]

2 - b.
3 - a.

I'm not sure about 4. Hope this helps!

4 0

3 years ago