A line has a slope of 2 and passes through the point (-2,8). What is the equation of the line?

Answers

Answer 1

Answer:

y-8=2(x+2)

Step-by-step explanation:

Equation of a line is easy once you get the hang of it. State with the point slope form y-y2=m(x-x2) Simply plug in the points given to get the equation.


Related Questions

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).

Answers

Answer:

three functions are

f(x) = 3(x + 4)^2 + 1

g(x) = 2x^2 - 16x + 15

h(x) = a(x - 1) - 3

Axis of symmetry for f(x) is x=-4 For g(x)

by taking the derivative

g'(x) = 4x - 16

= 4(x - 4)

The Axis of symmetry for g(x) is x=4

The Axis of symmetry for h(x) is x=1

hope it helps

hi can anybody help me please i will mark them as a brainlest

Answers

Answer:

area 4.5

Step-by-step explanation:

C has the largest Area. It's area is 4.5

hope this helps

Answer:

C has the largest area.

Step-by-step explanation:

3x3=9, 9/2=4.5

Find the distance between two points (2,-3)and (2-,4). what is the answer?

Answers

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

helppppppppp me please :(

Answers

Answer:

12.57cm

Step-by-step explanation:

circumference =2^r

=2×22/7×2

=12.57cm

A bowl contains 5 red balls and 5 white balls. Dorothy selects balls at random without looking at them. How many balls must she select to be sure she has at least two red balls?

Answers

Answer:

7

Step-by-step explanation:

To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.

The number of balls that Dorothy must select to be sure she has at least two red balls is 6.

How many balls must she select to be sure she has at least two red balls?

To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.

Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.

In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.

Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.

Read more about probability here: https://brainly.com/question/25870256

#SPJ2

Four statistics professors and six chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?

Answers

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3

ABC is reflected over the y-axis. What are the vertices of
A' B' C' ?

A (0-2), B'(-2,-4). C'(-5, -1)
A(-2,0), B(-4, 2), C (-1, 5)
A' (0.2). B (-2,4), C'(-5,1)
A'(0, 2). B' (2, 4). C'(5.1)​

Answers

Answer:

The answer is the first option.

Step-by-step explanation:

When you flip it over the y axis. A would still be the same. ANd the first one matches A.

If F(x) = log 5 2x, find F^-1(x). a. 5^y=2x b. 5^2y=x c. y = (5^x)/2

Answers

Answer:

y = [tex]\frac{5^{x} }{2}[/tex]

Step-by-step explanation:

y = log 5 2x

inverse ------> y=x

x = log 5 2y

[tex]5^{x} = 2y[/tex]

y = [tex]\frac{5^{x} }{2}[/tex]

Answer:

y = ([tex]5^{x}[/tex] )/2

Step-by-step explanation:

Hope This Helps!!

What is the rate of change in the table?


Answers

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Question 4
A book sold 31,300 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

Write each statement as an algebraic expression. The quotient of the number that is 1 greater than a number b and the number that is twice as large as b. RMS NEED BY 3:58 today 6/20/2020

Answers

Answer:

Quotient = (1 + b)/2b

Step-by-step explanation:

The term quotient implies the result after dividing a number or expression by another number or expression.

In other words,

Quotient = Dividend/Divisor

From the question, we understand that

Dividend = Number that is 1 greater than a number b

So,

Dividend = 1 + b

And

Divisor = Number that is twice as large as b...

So, Divisor = 2 * b

Divisor = 2b

Recall that:

Quotient = Dividend / Divisor

Quotient = (1 + b)/2b

Help would be much appreciated

Answers

Answer:

Given

Step-by-step explanation:

Question 1)

Answer is c) 12.94 units

Because,

The sides will be √20,√20 and 4 units, so you add them

You get √20 through Pythagorean theorem √(2^2 + 4^2)

= 4.47

Question 2)

Answer:

3x^2 + 4y^0 +x^-1

Substitute the values,

3*(4)^2 + 4*(5)^0 + (4)^-1

3*16 + 4*1 * 1/4

( Any number raised to 0 is 1

4^-1 = 1/4^1 )

= 49

Answer:

Option C

49

Step-by-step explanation:

sides of triangle:

4√2²+4²=√20=4.47√2²+4²=√20=4.47

P=4+4.47*2=12.94

Option C is correct

================

x=4, y=5

3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49

somebody please help me

Answers

Answer:

382.5 square inches

Step-by-step explanation:

The surface area of a 3D object is the sum of the area of all of the surfaces. Therefore, the surface area of this prism is:

[tex]9\cdot 13.5 + 2(\dfrac{1}{2} \cdot 10\cdot 9)+ 9\cdot 9 + 10\cdot 9= 382.5[/tex] square inches.

Hope this helps!

-5 5/8 + 3 1/2



A: -3 1/8 B: -2 1/2 C: -2 1/8 D: -7/8




ASAP

Answers

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

The answer is C.
-2 1/8

What is the opposite of the number -2.5? How does the position of -2.5 compare to its opposite on the number line?

Answers

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

Given that triangle PQR congruent triangle STU, , what is the measure of angle U ?

Answers

B. 52

Because every triangles angles equal up 180°
And all you really gotta do is add up the two angles shown 86° + 42° and you get 128°
Then you subtract that from 180°
180° - 128°
and you get 52°

Answer: B or 52 degrees...

Step-by-step explanation:

Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.

In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.

The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.

Each question on a multiple-choice exam has four choices. One of the choices is the correct answer, worth 5 points, another choice is wrong but still carries partial credit of 1 point, and the other two choices are worth 0 points.

If a student picks answers at random, what is the expected value of his or her score for a problem?
_____points

If the exam has 30 questions, what is his or her expected score?
_____points

Answers

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

(5+1+0+0)/4 = 6/4= 1.5

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

Sharyn needs yards of fabric to make a dress for herself and yards of the same fabric to make a matching dress for her daughter. If she buys yards of fabric, how much will she have left over?
A.
yards
B.
yards
C.
yards
D.
of a yard

Answers

Answer: The answer is C 5/8 yards

Step-by-step explanation:

There are five more blue blocks than green blocks. Three times the number of green blocks, increased by double the number of blue, equals 95. How many of each colour are there?

Answers

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

b = g+5

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

3g+2b =95

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

Find the midpoint of the line segment.

Answers

Answer:

(9,-5)

Step-by-step explanation:

Find the middle of each of the x and y coordinates. Then put that together.

Answer:

The correct answer is

(9, -5)

Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.

Hope I could help

- Quinn :)

The multiplicative inverse of (-4)⁻² is (4)⁻². True False

Answers

Answer: false

Step-by-step explanation:

The exponents would have to have a different sign from each other (positive or negative), not the integer.

Use the values in the table to verify the relationship
between the functions representing the investments.
Which conclusion can be made?
O The functions are inverses because the domain of Table
A is the same as the range of Table B.
The functions are inverses because the range of Table A
is different from the domain of Table B.
the functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (x, y) for the other function.
O The functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (y, x) for the other function.

Answers

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

Please helpppp what is the solution to the system of equations

Answers

Answer:

The third one

Step-by-step explanation:

The M virus has a diameter of 5 x 10^-7meters, while the P virus measures about 2 x 10^-8meters in diameter. A) is the M virus or P virus larger in diameter? B) how many times as larger is the larger virus than the smaller virus?

Answers

Answer:

(A) The M virus is larger than the P virus in diameter

(B) Diameter of virus M is 25 times the diameter of virus P

Step-by-step explanation:

Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.

So we can write these values in decimal form for easier comparison of which one is he largest one:

Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]

Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]

Which clearly shows that virus M is larger than virus P in diameter

The quotient between diameters will give us the answer to how many times larger virus' M diameter is:

[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]

What is the volume of the cone to the nearest tenth? A) 401.2 yd3 B) 421.4 yd3 C) 484.3 yd3 D) 536.2 yd3

Answers

Answer:

Option (D). 536.2 yd³

Step-by-step explanation:

Radius of the circular base of the cone = 8 yd

Height of the given cone = 8 yd

Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base of the cone

h = height of the cone

By substituting the values of r and h in the formula,

V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]

   = [tex]\frac{1}{3}(512\pi )[/tex]

   = 526.165

   ≈ 526.2 yd³

Therefore, volume of the given cone is 526.2 yd³.

Option (D) will be the answer.

Answer:

D

Step-by-step explanation:

How do I do this?

Calculate the number of protons and the number of neutrons for each of the below

Answers

Answer:

to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).

The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.

for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom

Homework Help please!

Answers

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Hope it helps you !!!!

Lee did 4/5 of her homework in 5/6h. How long will it take to complete all her homework?

Answers

4/5 of the homework = 5/6 hr

1/4 of the homework = 5/6 ÷ 4

5/5 of the homework = 5/6 ÷ 4 × 5

5/6 ÷ 4 × 5 = 25/24 hrs which is 1 and 1/24 of an hr

answer: 1 and 1/24 of an hr


The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³​

Answers

Answer:

c

Step-by-step explanation:

What is the y-intercept of this quadratic function?
fin = -x^2 + 10x- 22

Answers

Answer:

- 22

Step-by-step explanation:

To find the y- intercept let x = 0 , that is

y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept

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