4. Write the equation of line that is perpendicular to y= -1/3x + 7 and has a y intercept of -1.
1

Answers

Answer 1

Answer:

         y = 3x - 1

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = -1/3x + 7   ⇒   m₁=-1/3

-1/3×m₂ = -1        ⇒    m₂ = 3

The y-intercept is b=-1 so the equation in  slope-intercept form:

                                                y = 3x - 1


Related Questions

what is the surface area of this square pyramid?

Answers

Answer:

The surface area of the square pyramid is 144m²

Step-by-step explanation:

the surface area pyramid is equal to SA = B + Ph/2

Please help me answer this question

Answers

Answer:

4x-2+y-4

Step-by-step explanation:

Answer:

x = 7, y = 16

Step-by-step explanation:

the sides with measure 2x + 5 and x + 12 are congruent, so

2x + 5 = x + 12 ( subtract x from both sides )

x + 5 = 12 ( subtract 5 from both sides )

x = 7

Then

x + 5 = 7 + 5 = 12

The sides with measure y - 4 and x + 5 are congruent, so

y - 4 = x + 5, that is

y - 4 = 12 ( add 4 to both sides )

y = 16

help please this make me want to be sad i just want to go play my ps5 hurry

Answers

i took this quiz so it’s 100% correct !!

answers:

She should rewrite the first equation in slope-intercept form

When rewriting the first equation, she should subtract 2x from each side of the equation to get -7y by itself


hope this helps !! :))

Answer:

5

Step-by-step explanation:

because equation by itself

on a graph there are two points (0,3) and (8,0) what is the proper equation​

Answers

Answer:

The line equation of the line is:

[tex]y=-\frac{3}{8}x+3[/tex]          

Step-by-step explanation:

Given the two points

(0,3)(8,0)

Finding the slope between (0,3) and (8,0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]

[tex]m=\frac{0-3}{8-0}[/tex]

[tex]m=-\frac{3}{8}[/tex]

Therefore, the slope of the line: m = -3/8

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3/8 and the point (0,3)

[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]

[tex]y-3=-\frac{3}{8}x[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{3}{8}x+3[/tex]

Simplify

[tex]y=-\frac{3}{8}x+3[/tex]

Therefore, the line equation of the line is:

[tex]y=-\frac{3}{8}x+3[/tex]          

The school is landscaping an area for a soccer field. If the
dimensions are 60 feet by 35 feet. What is the area of the soccer
field?

Answers

Answer: 2100 square feet

Step-by-step explanation: 60 x 35=2100

Answer:

2100 ft squared!

Step-by-step explanation:

The formula to find the area of a rectangle is L * W = A

Where A is the total area, and L and W are the dimensions.

Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A

Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene ​'s car had 5.9 gallons in the14 ​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas

Answers

Answer:

I believe it is $21.24 im sure

so i’m trying to figure out the slope of the line shown on the coordinate plane

Answers

Answer:

2

Step-by-step explanation:

pick two points that the line crosses through and write down the coordinates

eg. (3,3) and (2,1)

change in y/change in x

3-1/3-2

2/1

2

hope that helps :)

Answer:

2

Step-by-step explanation:

Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylor & Marty?

Answers

Answer:

Taylor's age = x = 35 years

Marty's age = y = 50 years

Step-by-step explanation:

Let

Taylor's age = x

Marty's age = y

Taylor is 15 years younger than Marty.

x = y - 15

Twice Marty’s age added to three times Taylors age totals 205.

205 = 2y + 3x...... Equation 1

Therefore, we substitute y - 15 for x in

205 = 2y + 3x...... Equation 1

205 = 2y + 3(y - 15)

205 = 2y + 3y - 45

Collect like terms

205 + 45 = 5y

250 = 5y

y = 250/5

y = 50 years

x = y - 15

x = 50 - 15

x = 35 years

Solving for x

Therefore:

Taylor's age = x = 35 years

Marty's age = y = 50 years

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!

A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units

Answers

Answer:

A

Step-by-step explanation:

Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values

[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )

20(15 + x) = 420 ( divide both sides by 20 )

15 + x = 21 ( subtract 15 from both sides )

x = 6

Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?

A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b

Answers

Given:

The expression is

[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]

Taking out common factors.

[tex]=(13-10)\sqrt {22b}[/tex]

[tex]=(3)\sqrt {22b}[/tex]

[tex]=3\sqrt {22b}[/tex]

The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.

Therefore, the correct option is D.

Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost for the computer including tax?

Answers

Answer:

t=$1627.5

Step-by-step explanation:

Step one:

given data

price of computer= $1500

sales tax= 8.5%

Step two

Let us compute the amount in tax

tax= 8.5/100*1500

=0.085*1500

=$127.5

Let the total cost be t

hence

t=1500+0.085*1500

t=1500+127.5

t=$1627.5

what is the answer to 26=t-19

Answers

YOUR QUERY :

what is the answer to 26=t-19 ?

Answer:

t = 45, okay

Step-by-step explanation:

=》t - 19 = 26

=》t = 26 + 19 ( by adding 19 on both sides )

=》t = 45

plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

4x²+20x+25

Step-by-step explanation:

(2x+5)² = (2x+5)(2x+5)

(2x+5) (2x+5) = 2x(2x) + 2x(5) + 5(2x) + 5(5)

= 4x² + 10x + 10x + 25

= 4x²+20x+25

Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam

Answers

Answer:

mark of the fifth exam = 60

Step-by-step explanation:

Mean = sum of all marks / number of exam

Mean = 70

Number of exam = 5

Let x =

Mean = sum of all marks / number of exam

70 = (65 + 80 + 76 + 69 + x) / 5

Cross product

70 × 5 = (290 + x)

350 = 290 + x

350 - 290 = x

x = 60

mark of the fifth exam = 60

An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid ​

Answers

Answer:

$11.25

Step-by-step explanation:

you take 75% of 15

Answer:

11.25

Step-by-step explanation:

because I used a calculator

Distributive property to remove parantheses -8(-6v+2x-4)

Answers

Answer:

48v - 16x + 32

Step-by-step explanation:

Please help I’ll give brainiest! Fill in the missing exponent !

Answers

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

Simplify each algebraic expression.
2a +3(a +7)–(3a +3)

Answers

Answer:

2a+18

Step-by-step explanation:

[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]

i need help please... 30 points + brainliest if u answer all 5

1. f(x)=x^2−4x, find f(−3)

2. f(x)=x^2−x, find f(−10)

3. f(x)=3x+1, find f(−3)

4. f(x)=4x−2, find f(8)

5. f(x)=x^2+2, find f(0)

Answers

3
-90
1
30
2

If you need to show your work look at the picture

Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2

PLEASE HELP URGET!!

Answers

Answer:

Step-by-step explanation:

2. 4x= 4*(-2)=-8

4x=4*(3)=12

4x=4*(-0.5)=-2

4x=4*3/2=6

the 3x+2

3x+2=3*(-2)+2=-6+2=-4

3x+2=3*(3)+2=11

3x+2=3*(-0.5)+2=-1.5+2=0.5

3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2

Ryan was paid $75 for
working 6­ 1/4 hours.

How much money
did he make per hour?

A. $12.50

B. $12

C. $15

Answers

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

Please help!

Look at the system of equations:
y = 2/3x + 10
y = 2/3x − 10
Which of these statements is correct?

A. The system has one solution at (-3,8)
B. The system has one solution at (6,-6)
C. The system has no solution
D. The system has an infinite number of solutions

Answers

Answer:

I  think is C or B

Step-by-step explanation:

Answer: A

Step by step: I did a test and got it right.

Hope this helps!!! - sorry in a rush -

A catapult’s lever holds a cannonball. The lever is attached to a tightly held rope. When the rope is released, the lever springs forward and launches the cannonball. When the rope is held tightly, which form of energy does it possess?​

Answers

Answer:

elastic

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Evaluate x + 3y when x = 4 and y = 5
*Please show how you got your answer*

Answers

Answer:

19

Step-by-step explanation:

x + 3y

4 + 3 (5)

4 + 15

=19

a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99​

Answers

Answer:

9 sleeves for 22.99

Step-by-step explanation

The first pack has a unit rate of $11.49/ 4 balls

=$2.8725

The second pack has a unit rate of $16.79/6balls

=$2.798 per ball

the third pack has a unit rate of $22.99/9balls

=2.554

So, I would definitely go for the third pack since it has the least cost.

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?

Answers

Answer:

The watermelon

Step-by-step explanation:

12 pounds would be around 5.450 kilograms

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options. XY and ST VU and TW XS and XW TX and WX VU and YZ

Answers

Answer:

XYand ST , VU and TW, TX and WX

Step-by-step explanation:

Volume of hexagonal right pyramid =[tex]\frac{1}{3}[/tex]×Area of base ×height

Area of base =[tex]\frac{1}{2}[/tex]×apothem ×perimeter

if we consider face TXY  ,here height =ST  and  length XY

(b) consider face TVW,  length VU and TW

(d) consider face TWX, length WX and TX  

Hence lengths in options (a),(b),(d) can be used to find the volume of hexagonal right pyramid .

Answer:

A, B, D

Step-by-step explanation:

EDGE 22

Can anyone help please this question!

Answers

Answer I blive is is 8

Step-by-step explanation:

Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and Y as the total dollars?

Answers

Answer:

I believe its X=15Y+50

Step-by-step explanation:

word form 952.374 pls help

Answers

Answer:

WORD from the 2.O

Step-by-step explanation:

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