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3 years ago

What is the equation of a line that is perpendicular to - x + 2y = 4 and passes through the point (-2,1)

1 answer:

3 0

Perpendicular has slope that multiplies to -1

the slope for ax+by=c is -a/b
-1x+2y=4
slope=-(-1)/2=1/2
1/2 times what=-1?
-2

y=mx+b
m=slope
we need slope is -2
y=-2x+b
find b
given
(-2,1)
(x,y)
x=-2 and y=1 is a solution

1=-2(-2)+b
1=4+b
mius 4 both sides
-3=b

y=-2x-3 is equation

first one

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CAN SOMEONE PLS HELP ME W THIS PROBLEM I NEED HELP ASAP

denis-greek [22]

The blank spaces about the passage can be filled with the following correct vocabulary respectively.

inequality
strict inequality
compound inequality
solution sets
true

<h3>Inequality</h3>

An inequality is a relation between two numbers and/or expressions that are related via <, >, ≥ or ≤ sign.

A strict inequality is an expression that uses < and >. It tells us that one side is only more or less than the other side.

When 2 simple inequalities are joined by or and, we get a compound inequality.

When solving an inequality, the solution will be a range of values called its solution sets. The inequality will remain true for every single value in this range.

The inequality signs are;

Greater than >
Less than <
Greater than or equal to ≥
Less than or equal to ≤
Equal to =

Learn more about inequality:

brainly.com/question/25275758

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6 0

1 year ago

Kari bought 3 gallons of milk that cost $2 70 per gallon What was the total cost of the milk? Enter your answer in the box

Alla [95]

Answer:

$8.10

Step-by-step explanation:

2.70+2.70+2.70=$8.10

1. 2. 3. total

5 0

2 years ago

Read 2 more answers

The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin

frez [133]

Answer: $2\dfrac13\text{ miles per hour}$

Step-by-step explanation:

Given: Distance traveled by Smith = $\dfrac23$ mile.

Time taken = $\dfrac27$ hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

$=\dfrac23\div\dfrac27$

$\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}$

Unit rate = $2\dfrac13\text{ miles per hour}$

6 0

3 years ago

A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 2

vovikov84 [41]

Principal: $49,000

Depreciation Rate: 50%

Depreciation Time: 5 years

Exponential Function: y = 49,000 (0.50)^x

Plug it in: y = 49,000 (0.50)^4

0.5^4= 0.0625

0.0625 x 49,000 = 3062.5

Value of Car after 20 years: 3062.5

Now, we need to find out how much the car decreases in ONE year.

Half of 3062.5 = 1531.25

1531.25/5 = 306.25

3062.5 - 306.25 = 2756.25

Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)

Hope this helps! Have a great day!

4 0

3 years ago

PLEASE HELP AND SHOW WORK IF YOU CAN

Murljashka [212]

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

3 0

3 years ago