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Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

Answer: 24x + 8x - 80

Step-by-step explanation: ohh its right

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute and solve for x:

Answer:

Given:

KQ:3

NQ:2

MQ:8

QL:3x

According to theorem of intersecting chords

NQ×QL=QM×QK

now=

Substituting value

2×3x=8×3

x=24/6

x=4 is a required answer.

Answer:

27

Step-by-step explanation:

Step-by-step explanation:

diameter=18

radius=18/2=9

circumference=2πr

Answer:

56.5486677646

Step-by-step explanation:

Circumference is pi Times diameter

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Answer: -2/1 is the slope

Step-by-step explanation: hope this helps<3

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

Answer:

The y-intercept is (0,0) or the origin, it's basically the point that intercepts the line of y.

Answer:

0

Step-by-step explanation:

I think 0...

...

...

...

Hope this helps <3

hehe it hit 0 and it is on y so uhh yeah...

Answer:

4

Step-by-step explanation:

3x-5=7x-21

3x-7x=5-21

-4x=-16 ( divide by -4 both sides)

x= 4

Let A : getting an odd number (i.e. 1,3 or 5), B: getting a number greater than 4 (i.e 5 or 6) . So, the required probability is  P(A∪B)=P(A)+P(B)−P(A∩B)=36+26−16=46=23

Answer:

The first 2 are definitetaletly right

Step-by-step explanation:

First off all you were not that clear.

Just plug them in

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

Answer:

Choice B

Step-by-step explanation:

Choice A equals 20x=20 which is one solution.

Choice B equals 0x=0 which is infinitely many solutions.

Choice C equals 0x=20 which is one solution.

Choice D equals 20x=0 which is one solution.

Answer:

its the 4 on the number line under her name

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Answer:

113.1 m^2

Step-by-step explanation:

Answer:

complementary

55 degrees

Step-by-step explanation:

ABC and CBD are complementary angles which means that their sum is 90 degrees

90 - 35 = 55 degrees

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

Answer:

216 cm^2.

Step-by-step explanation:

Surface area = 2 * area of triangular sides + area of 3 rectangles

= 2 * 1/2 * 6 * 8 + 8*7 + 6 * 7 + 10*7

= 48 + 56 + 42 + 70

= 216.

Answer:

216cm^2

Step-by-step explanation:

The surface area is equal to the sum of areas of the walls.

We've got 2 triangular walls with area 6*8/2, for 6*8 = 48cm^2 total

We've got a wall with 7x10 = 70cm^2

We've got a wall with 6x7 = 42cm^2

And the last wall is 8x7 = 56cm^2

So total surface area is: 48 + 70 + 42 + 56 = 216

Answer:

20%

Step-by-step explanation:

300 divide by 60. the answer is 20 percent

Answer:

r = [tex]2\sqrt{5}[/tex]

[tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

[tex]r^{2}[/tex] = [tex]{(3 - 5)^{2} + (2 + 2)^{2} }[/tex]

    =  [tex](-2)^{2} + 4^{2}[/tex]

    =  4 + 16 = 20

r = [tex]\sqrt{20 } = 2\sqrt{5}[/tex]

Equation of circle:   [tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Answer:

Radius: [tex]2\sqrt{5}[/tex]

Equation of circle: [tex](x-3)^2+(y-2)^2=20[/tex]

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

[tex]r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}[/tex]

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Substituting known values, we get:

[tex](x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}[/tex]

Answer:

The answer 168.75 without rounding and rounding its also 168.75

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

Answer:

[tex]f(n) = 4n^2 + 4[/tex]

f(1) = 4 x 1 + 4 = 4 + 4 = 8

f(2) = 4 x 4 + 4 = 16 + 4 = 20

f(3) = 4 x 9 + 4 = 36 + 4 =40

f(4) = 4 x 16 + 4 = 64 + 4 = 68

Answer:

0.7627

Step-by-step explanation:

This is a binomial probability problem

Given :

Number of trials, n = 5

p = number of correct option / total options = 1/4 = 0.25

q = 1 - p = 1 - 0.25 = 0.75

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

Getting atleast 1 correct :

P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x =4) + p(x = 5)

P(x =1) = 5C1 * 0.25^1 * 0.75^4 = 0.3955

P(x =2) = 5C2 * 0.25^2 * 0.75^3 = 0.2637

P(x =3) = 5C3 * 0.25^3 * 0.75^2 = 0.0879

P(x =4) = 5C4 * 0.25^4 * 0.75^5 = 0.0146

P(x =5) = 5C5 * 0.25^5 * 0.75^0 = 0.0009

P(x ≥ 1) = 0.3955 + 0.2637 + 0.0879 + 0.0146 + 0.0009 = 0.7627

P(x ≥ 1) = 0.7627