Find the equation of the line that passes through (-1,-3) and is perpendicular to
2y=x−3
Leave your answer in the form y=mx+c

Answer: c = -28

Step-by-step explanation:

substitue x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

The value of coefficient c of the quadratic equation 2x^2+10x+c=0  is -28.

One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.

The roots of a quadratic equation are the values of the variable that satisfy the equation.

They are also known as the solutions or zeros

The equation is 2x^2+10x+c=0.

a=2, b=10 and c=?

To substitute x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

To learn more about the quadratic equation visit:

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Work Shown:

[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Answer:

8x+5

Step-by-step explanation:

8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.

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Answer:

The answer is 8x+5

Step-by-step explanation:

1. Combine like terms so it will be 8 and -3

2. this will leave you with 8x+5 which you cannot do anything further.

Answer:

h = 19 mm

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

the base is a regular pentagon whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 5 × 12 = 60 mm and a = 5 mm , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5 = 30 × 5 = 150 mm²

given V = 2850 , then

150h = 2850 ( divide both sides by 150 )

h = 19 mm

Answer:

3.

Step-by-step explanation:

remember, when we multiply the same basic term, we add the exponents.

so,

x⁴×x² = x⁶

now, when there are other factors, we need to multiply them in too.

so,

(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)

Answer:

IQR

Step-by-step explanation:

I got it right :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \sin(40 - x) = \cos(3x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos\{90 - (40 - x ) \} = \cos(3x) [/tex]

[tex]\qquad \sf  \dashrightarrow \:90 - (40 - x) = 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:90 - 40 + x = 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - x = 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 25 \degree[/tex]

Answer:

 A)  1

Step-by-step explanation:

We want to find G such that ...

 (G-F)/(D-G) = 8/5

 5(G-F) = 8(D-G)

 5G -5F = 8D-8G . . . . eliminate parentheses

 13G = 8D +5F . . . . . . add 5F +8G to both sides

 G = (8D +5F)/13 . . . . divide by the coefficient of G

 G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

 G = 1 . . . . . . matches choice A

Answer:

A

Step-by-step explanation:

EDGE 22

Answer:

(5,3)

Step-by-step explanation:

Use desmos. I'll attach the graph below.

Solution is:

(5,3)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Total Mini - Easter eggs = 1345

Number of students = 26

So, let's find how many eggs will each student get through division ~

[tex]\qquad \tt  \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]

So, each student will get 51 mini - Easter egg each.

And there would be 19 remaining eggs in there ~

Answer:

p=9

t20=516

Step-by-step explanation:

a

4p-60=2p-6-2p

6p=54

p=9

b

a=60.. d=24

t20=a+19d

=60+19×24

=516

c

Sn=12.5+12.3+12.1

=12n(6-n)

Answer:

x=4

y=1

Step-by-step explanation:

4x=7y+9

4x+y=17

7y+9+y=17

8y=17-9

8y=8

y=1

so

4x=7*1+9

4x=16

x=16/4

x=4

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!

Answer:

not similar

Step-by-step explanation:

4/3 = 1.3333...

10/8 = 1.25

The ratios are not equal, so the triangles are not similar.

Work Shown:

[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]

Answer: About 3.06

Step-by-step explanation:

  We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

  Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

      cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]

      cos(40) = [tex]\frac{x}{4}[/tex]

      0.766 ≈ [tex]\frac{x}{4}[/tex]

      3.06 ≈ x

      x ≈ 3.06

Answer:

So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.

Here is how it is graphed:

1)

[tex]x = 25 - \frac{2}{3} y[/tex]

[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]

2)

[tex]x = 1 + 2y[/tex]

[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]

Step-by-step explanation:

so, the garden seems to be rectangular.

it has a length.

and width = length - 2

I assume the fence should go all around the rectangular garden.

that means it has to cover 2 lengths and 2 widths.

fence = 2×length + 2×(length - 2) =

= 2×length + 2×length - 4 = 4×length - 4 =

= 4×(length - 1)

length = 7.5 m

so, he will need

4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.

Answer:

Roy eat 4 sweets

Step-by-step explanation:

Roy =R

Mike= (R-2)

Leen= 3(R+ R-2)

R + (R-2) + 6R-6 = 24

8R-8=24

8R=32

R=4

     Mike  4-2 = 2

     Leen 3(4+2) = 18

4+2+18=24

The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A full-length mirror cost $144.99 when the cpi was 163.

The cost of a full-length mirror when the cpi is 211, to the nearest cent will be

[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Answer: 726 meters²

Step-by-step explanation:

   We will need to find the area of five shapes. The base, the top/bottom, and the two triangle sides.

      The area of a triangle is B * H / 2. Since we have two congruent triangles, I will not be dividing by two.

14 * 24 = 336 meters²

-> This value is for both of the triangle faces

      The rectangular bottom is L * W

14 * 10 = 140 meters²

      The two rectangles for the top and bottom will also be L * W. Since these are congruent, I will find the area of one and multiply it by two.

10 * 25 = 250 meters²

      Now I will add them all together for the total surface area:

336 + 140 + 250 = 726 meters²

  -> I don't see this as an option choice listed. I will review my work, but I am currently confused on the options they provide.

Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

Answer:

4/3

Step-by-step explanation:

f(2) = (-2*2)^2 / (7(2))-4)

f(2) = (-4)^2 / 14-4

f(2) = 16 / 12

f(2) = 4 / 3

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634