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2 years ago

What is an equation of a the line through (-1, -4) and parallel to the line 3x+y=5

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer: y + 4 = -3(x+1)

Step-by-step explanation:

We need to rewrite in form of y=mx+b.

3x+y=5

y = -3x + 5

The slope is -3.

In addition, the slope of two parallel line would be equal, the slope of the line would be -3.

y- y1 = m(x- x1)

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

y + 4 = -3(x+1)

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Slope of (-7,-2) (9,4)

Olenka [21]

Answer:

m= $\frac{3}{8}$

Step-by-step explanation:

1. Use the slope equation to solve the problem

$\frac{y_{2} -y_{1}}{x_{2} -x_{1} }$

2. Plug in your values into the equation.

$\frac{4-(-2)}{9-(-7)}$

3. Simplify the equation.

m= $\frac{3}{8}$

4 0

3 years ago

Find the probability of spinning an A 3 times

Dima020 [189]

If the probability of spinning an A once is 1/12, then the probability of spinning an A 3 times is 3 × 1/12.

3 × 1/12 = 3/36

Simplify

3/36 = 1/12

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3 years ago

To three decimal places, find the average value of f(x) = 2x2 + 3 on the interval [0, 2].

salantis [7]

The formula for the average value of a function is $\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx$ where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly. $\frac{1}{2} \int\limits^2_0 {(2x^2+3)} \, dx$ . We will integrate that now: $\frac{1}{2}[ \frac{2x^3}{3}+3x]$ from 0 to 2. Filling in our upper and lower bounds we have $\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]$ which simplifies to $\frac{1}{2}( \frac{16}{3}+6)$ and $\frac{1}{2}( \frac{16}{3}+ \frac{18}{3})= \frac{1}{2}( \frac{34}{3})$ which is 17/3 or 5.667

7 0

3 years ago

The following number is in expanded form:

lora16 [44]

Answer:

Step-by-step explanation:

D is the correct answer

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2 years ago

Read 2 more answers

the perimeter of a rectangle is 18 inches what are the possible lengths and widths if the side lengths are whole numbers

Sveta_85 [38]

The perimeter is (2 lengths) + (2 widths). Since the perimeter is 18 inches, (1 length) + (1 width) must add up to 9 inches.

If the length and the width must both be whole numbers, the only possible choices for the side lengths of this rectangle are:

1 x 8 in

2 x 7 in

3 x 6 in

4 x 5 in .

8 0

3 years ago