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1 year ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-7,8) and (-1,4).

Mathematics

1 answer:

Jlenok [28]1 year ago

5 0

Answer:

y = +3/2x + 12

Step-by-step explanation:

get slope

get midpoint

get b

(-7,8) and (-1,4)

get slope

(y₂ - y₁) / (x₂ - x₁)

slope is -2/3

perpendicular slope is the negative reciprocal :

+3/2

y=mx + b

y=+3/2x + b

get midpoint :

(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,6)

get b

y=mx + b

6=+3/2(-4) + b

6= -6+ b

b = 12

y = +3/2x + 12

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An item is priced at $13.57. If the sales tax is 7%, what does the item cost including sales tax?

cluponka [151]

Answer:

14.52

Step-by-step explanation:

13.57 + 13.57 x 7% = 13.57 x (1+7/100) =13.57 x 107/100 = 14.52

5 0

3 years ago

Enter the y coordinate of the solution to this system of equations. -2x+3y=-6 5x-6y=15

julia-pushkina [17]

Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0

7 0

3 years ago

Which angles are complementary to <2. Select all that apply.

KiRa [710]

Answer:

∠1 only

Step-by-step explanation:

Complementary angles:

sum to 90°
form a right angle

The only angle (that's an answer choice) that helps form a right angle with angle 2 is angle 1, thus making it the correct answer.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

~ ren ⚘

4 0

2 years ago

5+-4*1/3 Show work pls

polet [3.4K]

To solve this, we need to follow PEMDAS (Order of Operations)

P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Following this order of math will get you your answer for any math problem.

First we'll do -4*1/3, which gets us -4/3. Then we'll add 5 to get $3 \frac{2}{3}$

:)

4 0

2 years ago

About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How

Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was 13.7%.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

$\frac{543}{1000}\times 100$

$=0.543\times 100$

$=54.3\%.$

Now, to get the percent of people owned cell phone in Japan:

$\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.$

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

$68\%-54.3\%\\\\=13.7\%.$

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

5 0

3 years ago