What is the equation of a line with a slope of 4 that passes
through point (-2,5)? A y = -1/4x - 3 B y = -4x + 5 C y = 4x + 5 D y = 4x + 13

Answers

Answer 1

Answer:

Solution given:

slope(m)=4

passes through (x',y')=(-2,5)

we have

equation of a line is:

y-y'=m(x-x')

substituting value we get

y-5=4(x-(-2))

y-5=4(x+2)

y-5=4x+8

y=4x+8+5

y=4x+13 is a required equation of a line.


Related Questions

Help me out please!!!!!!

Answers

Step-by-step explanation:

y = 2x + 9

y = -x - 3

there are multiple ways to solve this.

let's follow the approach that both x-expressions must be equal :

2x +9 = -x - 3

3x = -12

x = -4

y = -x - 3 = 4 - 3 = 1

Just a little help please ☺️
Simplify

(3^8/3^5)3

3^9
3^39
3^10
3^6

Answers

[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]

8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CDs?


b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.

please help I will mark your answer as brainliest

Answers

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height


It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.

Answers

Answer:

21 = 10 + 5.5h

Step-by-step explanation:

Total cost = initial cost + hourly cost

21 = 10 + hourly cost

hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour

21 = 10 + 5.5h

Answer:

Step-by-step explanation:

$10 + $5.50h ≤ $21

Let h stand for the hours the canoe is rented.

Fixed cost = $10, regardless of h.

$5.50h for the cost of n hours of rental.

Total cost = $10 + $5.50h

The total cannot exceed $21, legally.  

So we should write:

$10 + $5.50h ≤ $21  

If $10 + $5.50h ≥ $21  then ║║║║║║║

solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

Can system of equations be linear and nonlinear

Answers

Systems of equations are linear

the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.

Answers

Caleb - c
Kyras - k

k+c=37
c=2k-4

k+(2k-4)=37
3k=41
k=41/3= ~13.67 years old

c=37-k
c=(111-41)/3
c=70/3=~23.33 years old

A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?

Answers

Answer:

48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah

Step-by-step explanation:

what is the value of y if x = 4 ​

Answers

Answer:

5aaaaaaaaaaaaaaaaaaaaaaaa

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.

x-y=-3
-8x+y=45

Answers

Y=-6
X=-3
I hope it’s right


The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7

Answers

Answer:

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Step-by-step explanation:

Simplifying

7x + 3 = 52

Reorder the terms:

3 + 7x = 52

Solving

3 + 7x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7x = 52 + -3

Combine like terms: 3 + -3 = 0

0 + 7x = 52 + -3

7x = 52 + -3

Combine like terms: 52 + -3 = 49

7x = 49

Divide each side by '7'.

x = 7

Simplifying

x = 7

12.5(20 + 35) - 38(16)

Answers

Answer:

79.5

Step-by-step explanation:

20+35=55

38*16=608

12.5*55=687.5

687.5-608=79.5

Hope this helps! Plz give brainliest! Also, pls sub to kgirl633 on yt.

Answer: 79.5

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of 32 2/9+ 23 4/9

Answers

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

I'm spending my last 10 points on this please help me

Answers

Answer:

Rate of sales tax = 6% of $60

Sales tax = [tex]\frac{6}{100}[/tex] × 60

               = $3.60

The answer would be $3.60 on that queen

check whether the given fraction are equivalent
a) 7 /13 ,5/11

Answers

Answer:

No

Step-by-step explanation:

Not equivalent

7/13 ≠ 5/11

Nine cereal bars are shared equally by 4 students. How many does each student receive?

Answers

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

Which table correctly lists the reasons to prove angle 1 approximately equal to angle 3 comma given that stack A B with left right arrow on top intersects stack C D with left right arrow on top ?

Answers

Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

The reflexive property of equality states that:

a + b = a + b.

Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:

m∠1 + m∠2 = m∠2 + m∠3.

Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).

Therefore, based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

Learn more about the reflexive property on:

https://brainly.com/question/1601404

Enter the value of x + 27.
х
1
o
1x + 27)
67°

Answers

1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.

Find the area of each figure

Answers

Answer:

24

Step-by-step explanation:

12*4/2

It’s 24 since 12 x 4 = 48 than you divide it by 2

find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)

Answers

Answer:

(-3, 1.5)

Step-by-step explanation:

equation: M = (x1+x2)/2 , (y1+y2)/2

So, plug it in.

(-1-5)/2 , (-1+4)/2

-3 , 1.5

so, x = -3 and y = 1.5

What is the area, in square centimeters, of the shape below?
Express your answer as a fraction in simplest form.

Answers

Answer:4/9 cm²Step-by-step explanation:Area of triangle: 1/2 x base x altitude.=> 1/2 x 4/3 x 2/3=> 2/3 x 2/3=> 4/9 cm²Conclusion:

Therefore, the area of the triangle is 4/9 cm².

Hoped this helped.

[tex]BrainiacUser1357[/tex]


Does anyone get this??

Answers

Answer:

the answer is 12m

Step-by-step explanation:

u know the side c and side B.

C=15m but u have to square it which is 225

B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12

The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?

Answers

Answer:

1,275

Step-by-step explanation:

Answer:

1275

Step-by-step explanation:

you do 8.5 multiplied by 150

The base of a triangle is v245 cm and its height is V20 cm. Find its area.

Answers

The given information of the base length and the height of the

rectangle are sufficient to find the area of the triangle.

Correct response:

The area of the triangle is 35 cm.²Methods used for finding the area

Given that the parameters are;

The base of the triangle = [tex]\sqrt{245}[/tex] cm

The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm

Required:

To find the area of the triangle

Solution:

[tex]Area \ of \ a \ triangle = \mathbf{ \dfrac{1}{2} \times base \times height}[/tex]

Therefore, the area, A, of the given triangle is given as follows;

[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]

The area of the triangle, A = 35 cm²

Learn more about the area of plane shapes here:

https://brainly.com/question/8428727

https://brainly.com/question/9405007

For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?

Answers

Answer:

t=23

Step-by-step explanation:

A rug in the classroom is 3/4 yard wide and 8/6 yards long. What is the area of the rug in square yards?

PLEASE BE ANSWERED IN 30 MINS TOPS

Answers

Answer:

i think area of the rug is 1 square yards

Step-by-step explanation:

area = 3/4×8/6

area = 2/2

area = 1 square yards

HELPP PLS I NEED THIS WUICK ILL GIVE BRAINLEST

Answers

Answer:

x = 20

Step-by-step explanation:

(2x+10) = 180 - 130

2x + 10 = 50

2x= 40

x = 20

hope this helps! :)

On Monday Tiffany spent 5 2/8 hours studying. On Tuesday she spent another 2 1/8 hours studying. What is the combined length of time she spent studying

Answers

Answer:

7 3/8 hours

Step-by-step explanation:

5 + 2 = 7

2/8 + 1/8 = 3/8

Therefore, 7 + 3/8 =

7 3/8 hours

how to find parallelogram height with angles and side length

Answers

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

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