Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).

Write An Equation In Point-slope Form Of The Line That Passes Through The Point (2, -8) And Has A Slope

Answers

Answer 1

Answer:

The equation is [tex]y-(-8) = 4(x-2)[/tex].

Step-by-step explanation:

The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:

[tex]y-(-8) = 4(x-2)[/tex]

(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)      


Related Questions

5. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2

6. What is the slope of this graph?

a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2

Answers

answers for 5 and 6

5) C

6) B

Step-by-step explanation:

hope this helped

A corner store sells two kinds of baked goods: cakes and
pies. A cake costs $11 and a pie costs $6. In one day, the
store sold 9 baked goods for a total of $84. How many
cakes did they sell?

Answers

Answer:

They sold 4 cakes

and 5 pies...

Step-by-step explanation:

four cakes cost $44 and 5 pies cost $30

44+30= 84

really I just used trial and error by plugging in numbers.

hope this helps chu <3

if m<AFC= 150°, what is m<CFD​

Answers

Answer:

30

Step-by-step explanation:

These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap)  The 2 angles  form a  linear pair           The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

If one angle is 150 then the other angle must be 30

150+30 = 180

find the distance between the two points in simplest radical form (6,-2) and (-1,4)

Answers

Answer:

13

Step-by-step explanation:

If you were to plug the points into a graph you would have to go down 6 over 7 making it 13

I need help I'm confused.

Answers

Answer:

ok

Step-by-step explanation:

find the mode for data set 3, 2, 8, 5, 1, 4, 4, 3, 4, 5, ​

Answers

Answer:

Mode is 4

Step-by-step explanation:

Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?

Answers

Answer:

20 lbs

Step-by-step explanation:

is heidi dieting cuz thats good!

4 lbs x 5 months = 20 lbs

Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell

Answers

Answer:

x ≤ 72

He needs to sell 72 more bags.

Step-by-step explanation:

Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell

Let x represent the number of bags he needs to sell

28 + x ≤ 100

x ≤ 100 - 28

x ≤ 72

Therefore he needs to sell 72 more bags.

trigonometry please help! work need to be shown please

Answers

Answer:

x = 9.83

Step-by-step explanation:

Reference angle = 55°

Opposite = x

Hypotenuse = 12

Apply trigonometric function SOH:

Sin 55 = Opp/Hyp

Sin 55 = x/12

12 × Sin 55 = x

9.82982453 = x

x = 9.83 (nearest hundredth)

If f(x) = 3LX-2], what is f(5.9)? 9 10 11 12​

Answers

Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9 , we have

[since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

The value of the function f(5.9) will be 12. The correct option is D.

What is a function?

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified domain. A function is often denoted by a letter such as f, and we write f(x) to represent the output value associated with an input value x.

We know that the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example: For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9, we have

F[3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12.

To know more about function follow

https://brainly.com/question/25638609

#SPJ7

The rabbit population in Jefferson County, which is currently at 8,400 rabbits, is increasing by 5% each year. How many rabbits will there be in 7 years?

Answers

Answer:

11,340

Step-by-step explanation:

5% = 420 420 x 7 = 2940

2940 + 8400 = 11,340

the perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
a.5x-2
b.3x+2
c.8x+3
d.12x+1​

Answers

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

Please help me with math!!!!!

Answers

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

give us the values and numbers to help you

Please help I will give brainliest

Answers

A
because a closed dot means included and it is going higher than -6 so it is greater than

Answer:

x ≥ -6

Step-by-step explanation:

The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)

(d)
2 m
-10 m
6 m
4 m
15 m
14 m
20 m

Answers

Answer:

its d

Step-by-step explanation:

Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.

Answers

Answer: 30%

Step-by-step explanation:

Method 1:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, the denominator should be equal to 100 (since percent is per 100)

Multiply the top and bottom by 10

[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]

Since the numerator is 30, 3/10 as a percent is 30%

Method 2:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)

     0.3

10 | 3 0

     -30

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

          0

You get 0.3

Now multiply the decimal by 100

0.3 * 100 = 30

30%

Method 3:

The original fraction is [tex]\frac{3}{10}[/tex]

[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]

cross-multiply to solve the equation

30%

What’s is 3+4+8+9+2+5+6+7=

Answers

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

for f(x) = 5x - 7 and f(x) = -3, what is the value of x​

Answers

Answer:

Step-by-step explanation:

hello :

f(x) = 5x - 7 and f(x) = -3

5x - 7  = -3

5x=7-3

5x=4

x=4/5

Answer:

x = 4/5

Step-by-step explanation:

5x - 7 = -3

5x = -3 + 7

5x = 4

x = 4/5

Check:

5*4/5 - 7 = -3

4 - 7 = -3

If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?

Answers

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

HELP DUE AT MIDNIGHT TN

Answers

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

Answers

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 ​ )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4

Answers

Answer:

p = 1

Step-by-step explanation:

4 - 5(p + 3/5) = -4

Find P

4 - 5(p + 3/5) = -4

4 - 5p -15/5 = -4

4 - 5p - 3 = -4

-5p + 1 = -4

-5p = -4 - 1

-5p = -5

p = -5/-5

p = 1

Check:

4 - 5(p + 3/5) = -4

4 - 5(1 + 3/5) = -4

4 - 5 - 15/5 = -4

4 - 5 - 3 = -4

4 - 8 = -4

-4 = -4

Answer:

ITS HELLA 1/5 NOT 1

Step-by-step explanation:

>:(

Solve for x: 6x + 1 = -23​

Answers

6x=-23 - 1
6x=-24
divide both sides by 6
X=-4

Answer:6x=-23 - 1

6x=-24

X=-4

Step-by-step explanation:

please can anyone help me??

Answers

Answer:

140 DEGREES

Step-by-step explanation:

160-20=140

As 160 + x = 180 ( linear pair )
X = 20 degree
Now, as x is to be increase by 20 degree
The new angle is 40 degrees

Can someone help me with math and thanks .!

Answers

Answer:

Step-by-step explanation:

1. A: 147 Degrees B: 33 Degrees

2. A: 121 Degrees B: 59 degrees

It would be the same as the other side.

Caylee buys an item that is $15.00, and uses a 10% off coupon. How much does she save by using the coupon? *

Answers

Answer:

Caylee saved $1.5 by using the coupon.

Step-by-step explanation:

In order to find the amount that Caylee saved by using the coupon, you have to calculate 10% that is the discount percentage of the price of the item which is $15:

$15*10%=$1.5

According to this, the answer is that Caylee saved $1.5 by using the coupon.

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero

Answers

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

What is quadratic equation ?

Any equation of the  form [tex]ax^{2}+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

[tex]ax^{2}+bx+c=0[/tex]

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

As roots are distinct

[tex]b^2-4ac > 0\\[/tex]

and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

To learn more about quadratic equations visit : https://brainly.com/question/1214333

0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *

Answers

40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.

Use synthetic division to divide x^3-8x^2+9x-5 by x-3

Answers

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

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

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

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

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

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

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

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

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

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

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

The solution is, x^2 - 6x - 6, and, the  remainder -23.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

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

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

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

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

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

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

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

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

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

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Determine whether the data described in the tables is best modeled by a linear function or an exponential function.

Answers

Answer: Tigers: Linear Function

Narwhals: Linear Function

Other Questions
Click this link to visit the O*NET page for the Library Technicians career. Scroll down to the Work Styles section. Notethat common work styles are listed toward the top and less common work styles are listed toward the bottom.According to O'NET, what are some common work styles for Library Technicians? Check all that apply.I attention to detaildependabilityfine motor skillsindependencesocial orientationIntroDone Hane Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products: Activity Cost Pool Activity Rate Assembling products $ 8.90 per assembly hour Processing customer orders $ 31.23 per customer order Setting up batches $ 43.72 per batch Data for one of the company's products follow: Product U94W Number of assembly hours 389 Number of customer orders 53 Number of batches 61 How much overhead cost would be assigned to Product U94W using the activity-based costing system Which is evidence of a successful collaborative discussion?1. The group agrees on a team leader2. The group develops a new perspective.3. The group relies on others to complete an assignment.4. The group convinces others to agree with your ideas. How much cm is 2 feet Which of these boxes will not accelerate? The distance between the points P(7, 2) and Q(5, 3) isA. 12 unitsB. 13 unitsC. 11 unitsD. 10 units How would both Hobbes and Locke argue the importance of immigration? Be sure to include natural rights and the social contract in your discussion. does someone know this answer? What is colony............? where is the earths magnetic field generated from Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1\frac{3}{4} pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost? 4) What other provisions did the United States agree to What type of real numbers are these. The next math test will contain 50 questions. Some will be worth three points while the rest will be worth six points. If the test is worth 195 points, how many questions are worth three-points and how many worth six-points? simplify the expression by using the distributive property 2(3x-5) Which number sentence can be used to find 42 7 =? A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month? PLS HELP (MARKING BRAINLIEST) Verb gustar: Please help me part 3 Explain what it means for x and y to vary directly