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3 years ago

1.) Solve 2x^2-12x+20=0 using the quadratic solution set? What is the solution set?

1 answer:

4 0

Please, share just ONE problem at a time. Thanks.

<span>Solve 2x^2-12x+20=0:
Simplify this by dividing each term by 2: x^2 - 6x + 10 = 0

Identify a, b and c: a=1, b=-6 and c=10. Then b^2=36.

Write out the solutions using the quadratic formula:

6 plus or minus sqrt(36-40)
x = ---------------------------------------
2

sqrt(36-40) = sqrt(-4) = plus or minus i2

Then:

6 plus or minus i2
x = --------------------------- (answer)
2</span>

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Number 6 mainly and any other if you want to help:) looka t the pic

soldier1979 [14.2K]

Let the amount B pays be £x
So,
A pays £125
B pays £x
They pay in the ration 3:2
Therefore,
125/x = 3/2
Cross multiplying we get,
125 x 2 = 3x
3x = 250
x = £63.33

3 0

3 years ago

Which of the following represents the factorization of the trinomial below?<br> -3x2 – 18x2 – 24x

vazorg [7]

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

6 0

3 years ago

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

r: radius
h: height

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

2 years ago

Make 'y' the subject of the equation. x = 2y -7

geniusboy [140]

Answer:

y = (x + 7)/2

here's your solution

=>. it is given. x = 2y - 7

=> we have to make y as subject

=> now, we can writ this equation in this way

=> 2y - 7 = x

=> now put all constant to right side

=> 2y = x +7

=>. y = x+ 7 /2

hope it helps

5 0

3 years ago

PLEASE HELP I will mark brailist

WARRIOR [948]

Answer:

72m^2

Step-by-step explanation:

Conevert the lengths into what they really are

Length of Patio:12

width of patio:6

Soooo.....

multiply

12x6=72

8 0

3 years ago