All categories

2 years ago

What is an equation of the line perpendicular to y=1/5x+2 that contains (15,-4)

Mathematics

1 answer:

earnstyle [38]2 years ago

5 0

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5. Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5: -5.

Use the point-slope equation of a line: y - k = m(x - h), where (h, k) is the point through which the new line passes. Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

You might be interested in

The storage shed shape of a half-cylinder of radius r and length l.

ira [324]

The first you should have to do is calculate the volume so start by drawing a picture then just go on the math solutions website

5 0

2 years ago

Read 2 more answers

What is 37.09 in expanded form

Anit [1.1K]

Thirty-seven point nine hundredths hope this helps :))

8 0

2 years ago

A long-term period of economic recession that leads to a low GDP and very high unemployment is a(n)

Liula [17]

Answer:

The answer is C. Depression.

Step-by-step explanation:

Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.

The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.

6 0

2 years ago

Read 2 more answers

The equation πr²Gives the area,A of a circle with a radius,r,. Solve the function for π

zalisa [80]

$\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies \qquad \cfrac{A}{r^2}=\pi$

7 0

2 years ago

Find the distance between (-5,6)and (3,2).

skad [1K]

Answer:

$\displaystyle d = 4\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]: $\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}$
[Distance] [√Radical] (Parenthesis) Add/Subtract: $\displaystyle d = \sqrt{(8)^2+(-4)^2}$
[Distance] [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64+16}$
[Distance] [√Radical] Add: $\displaystyle d = \sqrt{80}$
[Distance] [√Radical] Simplify: $\displaystyle d = 4\sqrt{5}$

6 0

2 years ago