What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4?

Answers

Answer 1

Answer:

[tex]y=-\frac{5}{4} x-3[/tex]

Step-by-step explanation:

Use the slope formula equation to plug in values. Slope formula equation is y=mx+b. The known values are y=2, m=-5/4, x=-4. [tex]2=(-\frac{5}{4} )(-4)+b[/tex]. Multiply -5/4 times -4 to get 5. 2=5+b. Subtract 5 from each side to isolate b. b=-3.


Related Questions

The property of 12x2-7=6-2x2+2

Answers

12x2-7=6-2x2+2
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840

Write 2^100 as a power with the following base of 32.

Answers

Answer:

your answer is 30

Step-by-step explanation:

I have completed the test

Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)

Answers

She receives $1.65 cents

The chess clubs at school decides to give $400 to a charity at Christmas time. If the chess club raised $1,000 fund raising. What percent of the fund raiser did they donate to charity

Answers

Answer: 40%

Step-by-step explanation:

To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.

Percent of the fund raiser did they donate to charity 40%

What is percentage ?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

To find the percent,

divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage,

multiply the answer by 100.  0.4 * 100 = 40.

To learn more about the percentage here:

https://brainly.com/question/29224972

#SPJ7

Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.

Answers

Answer:

the answer is 10,0000

Step-by-step explanation:

Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3

Answers

Step-by-step explanation:

The answer is b for sure.

What are the real and imaginary parts of the complex number ? 16 + 3i​

Answers

Answer:

Real - 16 Imaginary - 3i

Step-by-step explanation:

If the number has i with it, it's imaginary. If it doesn't have i with it, it's real

Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest ​

Answers

Answer: -13

Step-by-step explanation:

what is ur favorite character from boondocks mine is Riley freeman and also Huey freeman

Answers

Answer:lol

Step-by-step explanation:

Sam runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4.8

Step-by-step explanation:

6/55= ~0.109

0.109*44=4.8

will mark brainleist pls help

Answers

Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Is (3, 0) a solution to the equation y = 5x + 3? *
1 point

Answers

Answer:

no

Step-by-step explanation:

Substitute x = 3 into the equation and if the result is 0 then it is a solution

y = 5(3) + 3 = 15 + 3 = 18 ≠ 0

Then (3, 0 ) is not a solution to the equation

3. Avery noticed that of the apples in a basket are red. There are 45 red apples in the basket.
(a) Represent the situation with an equation. Use a for the variable.
(b) Solve the equation in Part (a). Show your work.
(c) What does the solution of the equation represent in the situation?

Answers

Answer:

Step-by-step explanation:

Something missing in "noticed that of the apples."  Perhaps "that 40% of . . .?"

But I'll try to answer, using an example:  

Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.

To find the total number of apples, X:

(0.30)X = 45

X = 150 apples total.  45, or 45/150, is 0.3 0r 30%.

What is the answer to X=7-3y And 2x-4y=-6



I need it

Answers

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles

Answers

Answer:

20 days

Step-by-step explanation:

If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.

46 degrees and x

X =

Answers

Answer:

136° that's 90 plus 46.........

Answer:

x = 136°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 90° + 46° = 136°

Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?

Answers

5.99+15.99+20.99= 42.97
.06 times 42.97= 2.58
2.58+42.97= 45.55

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: 4 - 2g

Explanation: The order of operations is distributive property so think of it as
(1/2 • 8) - (1/2 • 4g) Also just think of dodging 8 and 4 by two since 1/2 in a number format is .5 and 8 mutuales by .5 is 4 and 4 is 2.

Hope this helps!

Can someone please take the time out of their day and help me with this question

Answers

Answer:

76, 76 104

Step-by-step explanation:

Angle 3 is vertical so it is congruent to Angle 2.

Angle 6 is corresponding, so it is congruent to Angle 2.

Angle 8 is linear to Angle 6, so they add to 180

Answer:

see explanation

Step-by-step explanation:

(a)

∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 3 and ∠ 6 are corresponding angles and are congruent , then

∠ 6 = 76°

(c)

∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is

∠ 8 + 76° = 180° ( subtract 76° from both sides )

∠ 8 = 104°

Plz help. I need this by tomorrow or I’ll get detention.

Answers

[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]

Find x, given the slope is -2. (x,-6) (-6,10)

Answers

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles

Answers

Answer:

C. 252 miles.

Step-by-step explanation:

Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.

Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.

105/5=21

Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.

21x2=42.

Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.

210+42=252

Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.

B. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Think the answer may of be A.

Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.

Answers

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

-5x+10y=-55

5x-8y=39

--------------------

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

Solve the equation. Please

Answers

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?

Answers

Answer: Exponential decay model:

y

=

x

(

1

r

)

t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

x

=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

(

1

r

)

t

=

125

(

1

0.3

)

t

=

125

0.7

t

Half life:

y

=

125

2

=

62.5

mg

62.5

=

125

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

t

=

log

(

0.5

)

log

(

0.7

)

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

hours.

After

t

=

3

hours , remaining drug on patient's system is

y

=

125

0.7

t

=

125

0.7

3

=

42.875

mg [Ans]

What is the slope of the line through (2, -1) and (-2, -3)?

Answers

[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]

Answer:

Step-by-step explanation:

Using slope formula:

(y2-y1)/(x2-x1)

(-3 + 1) / (-2-2)

-2/-4

slope: 1/2

Write an exponential function to model each situation. Find each amount after the

specified time.


A population of 1,236,000 grows 1.3% per year for 10 years

Answers

The formula would be y = 1,236,000(1.3)^t

After 10 years, the population would grow to become 17,039,309.59 people. You can round up to 17,039,310 people if the question asks to round to the nearest person.

Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?​

Answers

Answer:

336.00?

not 100% sure though

Need help now pls on HS geometry

Answers

Answer:

b

Step-by-step explanation:

RT is a perpendicular bisector of QS , then

Δ QRS is isosceles with 2 congruent legs , that is

QR = SR

7x - 22 = 4x + 5 ( subtract 4x from both sides )

3x - 22 = 5 ( add 22 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41

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