Find the slope-intercept form of the equation of the line
passes through the point (-5, -4) and has slope 4.​

Answers

Answer 1

Answer:

y= 4x +16

Step-by-step explanation:

slope-intercept form:

y=mx+c, where m is the gradient and c is the y-intercept

Given that the slope is 4, m=4.

y= 4x+c

To find the value of c, substitute a coordinate.

When x= -5, y= -4,

-4= 4(-5) +c

-4= -20 +c

c= 20 -4

c=16

Thus, the equation of the line is y= 4x+16.


Related Questions

Juan selects 2 colored pencils randomly. There are 4 green, 3 yellow, 4 red, 3 blue and 2 orange. What is the probability Juan chooses a red, replaces it, and then chooses an orange?

A: 1 over 32
B: 1 over 30
C: 8 over 225
D: 3 over 8

Answers

D 3 over 8
For red you divide 4/16 and get 1/4
For orange you divide 2/16 and get 1/8
You add 1/4 and 1/8 and get 3/8

Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

Riley is saving up to buy a new television. She needs a total of $1,303.99. Riley has saved $200.79 already and earns $78.80 per week at her job. How many weeks
1303.99 = 200.79 + 78.80(x)
1103.20 = 78.80(x)
x = 14 weeks

Answer:

14

Step-by-step explanation:

i uses a calculator and kept adding up

what symbol makes this comparison true? 200 mL O 2 L <>​

Answers

Answer:

For the first case converting ml to L we got:

[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]

And we see that 0.2 L is lower than 2 L so then:

[tex] 200 mL < 2L[/tex]

And in the other way if we convert L to mL we got:

[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

Step-by-step explanation:

For this case we can solve this problem converting ml to L or converting L to ml.

For the first case converting ml to L we got:

[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]

And we see that 0.2 L is lower than 2 L so then:

[tex] 200 mL < 2L[/tex]

And in the other way if we convert L to mL we got:

[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

what is the quotinent

Answers

Answer:

[tex]\dfrac{3(y-5)}{2}[/tex]

Step-by-step explanation:

[tex]\dfrac{2y^2-6y-20}{4y+12}\div \dfrac{y^2+5y+6}{3y^2+18y+27}=\\\\\dfrac{2(y-5)(y+2)}{4(y+3)}\cdot \dfrac{3(y+3)^2}{(y+3)(y+2)}=\\\\\dfrac{6(y-5)(y+2)(y+3)(y+3)}{4(y+2)(y+3)(y+3)}=\\\\\dfrac{3(y-5)}{2}[/tex]

Hope this helps!

Please help with number four I give brainliest thank you!

Answers

Answer:

Step-by-step explanation:

A

Answer:

D.

Step-by-step explanation:

A statistical question can answered by collecting data and having various answers. The other options refer to a specific person/thing and give only one piece of data while the last option refers to many teachers and many pieces of data.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

A car travels 10km southeast and then 15 km in a direction 60 degrees north of east. What is the magnitude of the car's resultant vector?

Answers

Answer: 15.85km

Step-by-step explanation:

The car starts at the point (0,0)

Let's define east as the positive x-axis and north as the positive y-axis.

first, the car travels 10km southeast, so the angle is -45° from the east.

Then the new position of the car is:

(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)

Now, from this point the car travels 15km with an angle of 60° (counting from the east)

So the new position is:

(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km  , 5.91km)

The magnitude of a vector (x, y) is √(x^2 + y^2)

So the magnitude of the vector (14.57km  , 5.91km) is:

√((14.57km)^2 + (5.91km)^2) = 15.85km

The magnitude of the car's resultant vector is 15.72.

Given that,

A car travels 10km southeast,

And then 15 km in a direction 60 degrees north of east.

We have to find,

The magnitude of the car's resultant vector.

According to the question,

To resultant direction calculate by using the sum of vectors following all the steps given below.

A car travels 10 km southeast,

And then 15 km in a direction 60 degrees north of east.

The first vector has module is 10 and angle is 315°,

In the south direction, the angle is  270° and east is 360°,

So the angle in southeast,

[tex]\rm = \dfrac{270+360}{2}\\\\= \dfrac{630}{2}\\\\= 315 \ degree[/tex]

The second vector has module 15 and angle = 40°

Decompose both vectors in their horizontal and vertical component:

The horizontal component of the first vector is,

[tex]\rm = 10 \times cos(315) = 10 \times 0.70= 7.07[/tex]

The vertical component of the first vector is,

[tex]= \rm 10 \times sin(315) = -7.07[/tex]

The horizontal component of the second vector is,

[tex]\rm = 15 \times cos(60) = 15 \times 0.5= 7.5[/tex]

The vertical component of the second vector is,

[tex]\rm = 15 \times sin(40) = 15 \times 0.86= 12.99[/tex]

The sum of the horizontal component of the resultant vector is,

[tex]= 7.07+7.5=14.57[/tex]

And the sum of the vertical component of the resultant vector is,

[tex]= -7.07+12.99=5.91[/tex]

The magnitude of the vector (14.57km, 5.91km) is:

Therefore,

The magnitude of the car's resultant vector is,

[tex]\rm Resulatant = \sqrt{(14.57)^2+ (5.91)^2}\\\\ Resulatant = \sqrt{212.28+ 34.92} \\\ \\ Resulatant = \sqrt{247.20}\\\\ Resulatant = 15.72[/tex]

Hence, The required magnitude of the car's resultant vector is 15.72.

For more details refer to the link given below.

https://brainly.com/question/16541081

I need help please and thank you

Answers

Answer:

  2.2×10⁹

Step-by-step explanation:

The distributive property is useful here. Recognize that 10⁹ is a common factor:

  (5.4×10⁹) - (3.2×10⁹) = (5.4 -3.2)×10⁹ = 2.2×10⁹

Answer: 2.2×10⁹

Step-by-step explanation:

PLS HELP!! AND HURRY!! Find an expression for the nth term ( tn ) in each of the following sequences:
1, 4, 7, ...

Answers

If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

[tex]\begin{cases}a_1=1\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}[/tex]

From this definition, we can write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:

[tex]a_2=a_1+3[/tex]

[tex]a_3=a_2+3=(a_1+3)+3=a_1+2\cdot3[/tex]

[tex]a_4=a_3+3=(a_1+2\cdot3)+3=a_1+3\cdot3[/tex]

[tex]a_5=a_4+3=(a_1+3\cdot3)+3=a_1+4\cdot3[/tex]

and so on, up to

[tex]a_n=a_1+(n-1)\cdot3[/tex]

(notice how the subscript on a and coefficient on 3 add up to n)

or

[tex]a_n=1+3(n-1)=3n-2[/tex]

Answer:

n=1/2 of n x 8 divided by 4 -2

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

C. y=1/2 x + 5

Step-by-step explanation:

In the attached file

I need Help..please??

Answers

Answer:

56

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Mr.McNeil bought two magazines for 7.45 and one book for 14.95. If the sales tax is 6% , what is the total cost of Mr.McNeil’s purchase?

Answers

Answer:

total cost = $22.4 + $1.12 = $23.52

Step-by-step explanation:

Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.

He bought 2 magazines for $7.45  .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95.  The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.

total cost excluding sales tax = $7.45 + 14.95 = $22.4

The sales tax is 5% which can be calculated as follows

5/100 × 22.4 = 112/100 = $1.12

The total cost of Mr McNeil purchase including his sales tax is

total cost = $22.4 + $1.12 = $23.52

What is the length of line segment KJ?


2 \sqrt{3} units

3 \sqrt{2} units

3 \sqrt{3} units

3 \sqrt{5} units

Answers

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

[tex]KJ^2=KM^2+MJ^2[/tex]

[tex]KJ^2=6^2+3^2[/tex]

[tex]KJ^2=36+9[/tex]

[tex]KJ^2=45[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{KJ^2}=\sqrt{45}[/tex]

[tex]KJ=\sqrt{9\cdot 5}[/tex]

[tex]KJ=3\sqrt{5}[/tex]

Therefore, the length of line segment KJ is [tex]3\sqrt{5}[/tex] and option D is the correct choice.

Answer:

3√5

Step-by-step explanation:

what is the length of line segment kJ

Solve 5(x − 8) = 50.

Answers

Answer:

x = 18

Step-by-step explanation:

5(x - 8) = 50

Divide both sides by 5.

x - 8 = 10

Add 8 to both sides.

x = 18

Answer:

x=18

Step-by-step explanation:

5(x − 8) = 50.

5x-40=50

+40              +40

5x/5=90/5

x=18

Two cars leave towns 1000 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?

Answers

Answer:

90 km/hr

Step-by-step explanation:

If x is the speed of the slower car, and x+20 is the speed of the faster car, then:

5x + 5(x+20) = 1000

x + x + 20 = 200

2x + 20 = 200

x + 10 = 100

x = 90

find an equation equivalent to r = 10 sin in rectangular coordinates

Answers

Answer:

x²+(y-5)²=25

Step-by-step explanation:

To convert polar into rectagular

[tex]->r=\sqrt{x^2+y^2} =>r^2=x^2+y^2\\[/tex]

also, y=rsin θ => sin θ=y/r

r= 10sinθ

r=[tex]\frac{10y}{r}[/tex] => r²=10y

therefore, x²+y²-10y=0

By completing the squares on y²-10y gives

x²+(y-5)²=25

which is the equation of the circle.

This is the Cartesian equation of a circle with center  ( 0, 5)    

and radius,  r=5  

90 is 50% of what number? 180 120 45

Answers

So the right answer is 180

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

50%=0.5

Y x 0.5 = 90

We undo the equation and divide instead of multiply

90 / 0.5 = 180

Double check by changing Y with 180

180 x 0.5 = 90

180 is the answer

Hope this helps

Step-by-step explanation:

om is 5 years younger than his brother. If the sum of their ages is 43 years now, find their age.

Answers

Answer:

Brother's age =24

Om's age =19

Step-by-step explanation:

Let bro's age be x

Let om's age be x-5

x+x-5=43

2 x -5=43

2 x = 43+5

2 x = 48

x = 24

Which expression can be used to find the surface area of the following rectangular prism?


Choose 1 answer:


A

10+10+6+6


(Choice B)

B

10+6


(Choice C)

C

15+15+10+10+6


(Choice D)

D

15+15+10+10+6+6

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given that the formula of surface area of rectangular prism is S.A = 2(length×width) + 2(length×height) + 2(width×height). Then substitute the values into the formula :

Let length = 5,

Let width = 3,

Let height = 2,

[tex]s.a = 2(5 \times 3) + 2(5 \times 2) + 2(3 \times 2)[/tex]

[tex]s.a = 2(15) + 2(10) + 2(6)[/tex]

[tex]s.a = 15 + 15 + 10 + 10 + 6 + 6[/tex]

Answer:

The answer is D

Step-by-step explanation:

Which system of equations has one solution?

Answers

Answer:

A is correct, when two lines have 1 intersection (1 solution).

Step-by-step explanation:

B Two lines are parallel => No intersection (no solution).

C Two lines are coincident => Many intersection (many solutions).

Hope this helps!

:)

Step-by-step explanation:

As these two lines are not parallel so going to intersect at one point so having one solution

What is the quotient of the division below?
3387-
45
46
48
49

Answers

Answer:

3199

Step-by-step explanation:

3387 – 45 – 46 – 48 – 49 = 3199

Answer:

It is 48

Step-by-step explanation:

trust me I did the test.

Fill in the boxes. 300 000 cm =____ m=____km

Answers

Answer:3000m and 3km

Step-by-step explanation:

To convert from cm to m,divide by 100 and from m to km,divide by 1000

Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Cars. The computer output from a regression analysis is provided.

Model Summary

R-sq R-sq(adj)

89.9% 87.4%

Coefficients

Term Coef SE Coef T-Value P-Value

Constant 15.29 0.58 26.18 0.000

Age -1.71 0.13 -13.55 0.000


What is the value of the intercept? Enter the value exactly how it is displayed in the output.

Answers

ok here’s the thing I honesntjrhrhebfhbrbrbrbrbrbrbrbrbdnndhdhdbdbdbdbrbrhfhfhfhfbhfbfhfbf sorryrbdjdhr

Answer:

vaulue is 4

Step-by-step explanation:

A Forrest has 800 pine trees but a disease is introduce that kills 1/4 of the pine trees in the forest every year.

Write a function that gives the number of pine trees remaining P(t) in the Forest t years after the disease is introduced

Answers

Answer:

If there are 800 trees and 1/4 of them die to this disease.

Step-by-step explanation:

800=400x2=800/2=400 so 100/400 die so 200/800 die so in 4 years time the whole population will die.

Answer:

P(t)=800(3/4)^t

Step-by-step explanation:

Based on data from the 1980 Census the average age of a Na'alehu County, Hawaii resident is 39 years with a standard deviation of 22. 6. The data is normally distributed. If 100 residents are surveyed, Determine the Inter Quartile range (IQR) for the average age of the residents of this County. Please explain how you derived your answer:

Answers

Answer:

yes

Step-by-step explanation:


The initial freshman class at a college is 10% smaller 1
than last year's class. But then during the first week of classes, 20 more
students enroll. If there were 950 students in last year's freshman class,
how many students are enrolled in this year's freshman class after the first
week of classes? *​

Answers

Answer:

875 students are enrolled in this year's freshman class after the first week of classes.

Step-by-step explanation:

Last year, there were 950 students.

This year, the class is 10% smaller. So it's number of students is 100 - 10 = 90% of last year.

0.9*950 = 855

Initially, this year class had 855 students.

During the first week, 20 enrolled.

855 + 20 = 875.

So

875 students are enrolled in this year's freshman class after the first week of classes.

what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth

Answers

Answer:

theres no picture.

Step-by-step explanation:

Answer:

C) -0.89 i think

Step-by-step explanation:


3. If a ladder is x feet long, how high up a wall can it safely reach?

Answers

Answer:

xsin∅

Step-by-step explanation:

If the ladder is x foot long, and it can safely make a maximum angle ∅  with the floor, then, the maximum height it can reach will be xsin∅

Answer:

Following the 4 to 1 ratio ladder rule

Step-by-step explanation:

set the base 1 foot out from the wall for every 4 feet it reaches up.

Give brianliest and 15 points

Answers

Answer:

The correct answer is C

Step-by-step explanation:

X+U= [-1,  -1] on the top and [0, -23/4] on the bottom

Therefore A-(X+U) gives you [5/3, 7] on the top and [4, 5] on the bottom

Hope this helps! :)

Answer:

Danke Shun!!!!!

Step-by-step explanation:

Oh mein Gott, danke für die kostenlosen Punkte, Kumpel !!

what is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?​

Answers

Answer:

8.4897959183673

Step-by-step explanation:

magine that you are conducting a one-variable chi-square test to investigate the hypothesis that there are equal numbers of cat lovers and dog lovers in the office at work. Having conducted a survey, you found 150 preferred dogs and 120 preferred cats. What would the expected frequencies be in each cell? 135 150 and 120 270 More information is needed to calculate the expected frequencies.

Answers

Answer:

a. 135 is correct

Step-by-step explanation:

We have the following information:

dogs lover: 150

cats lover: 120

as the null hypothesis:

H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:

f = (150 + 120) / 2

f = 270/2 = 135

so option a. 135 is correct

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