What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
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Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

Answer:

A. 5+3=3+5

Step-by-step explanation:

The commutative property of addition says that changing the order of numbers does not change the sum. In this case, they both equal 8 even though the numbers are switched.

Answer:

y

Step-by-step explanation:

y

=

4

x

−

26

Explanation:

The slope-intercept form of a line is:

y

=

m

x

+

b

where:

m

is the slope of the line

b

is the y-intercept

We are given that

m

=

4

and the line passes through

(

7

,

2

)

.

∴

2

=

4

⋅

7

+

b

2

=

28

+

b

b

=

−

26

Therefore the equation of the line is:

y

=

4

x

−

26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

Here is my answer. I hope this is helpful.

Answer:

x = 0 or x = 3

Step-by-step explanation:

This is a quadratic equation, but because the constant term is zero, we can speed up the solution by factoring 12x^2 - 36x = 0:

12(x^2 - 3x) = 0, or

12(x)(x - 3) = 0

Thus, either x = 0 or x = 3

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

Answer:

a=11

Step-by-step explanation:

hold on our servers are swamped

Answer:

Y=1x+7

Step-by-step explanation:

y=mx+b

m: slope

b: y axis

Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

Answer:

45.5

Step-by-step explanation:

66+3x+8=5x+50

3x+74=5x+50

75=2x+50

2x=25

x=12.5

3×+8=45.5

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Answer:

the greatest possible length of each square plot is 1 ft.

1,269 square plots

Step-by-step explanation:

Since the plots are going to be squares then the width and length need to be the same. This means that the largest size of these plots would be calculated as the largest common divisor of the length and width of the garden. In this scenario, since 47 only has two divisors 1 and 47, and 27 is not divisible by 47 then the GCD of these two numbers would be 1. Meaning that the greatest possible length of each square plot is 1 ft.

To calculate the total number of plots needed we divide the square footage of the garden by the square footage of each individual plot like so...

47 * 27 = 1,269 sq. ft.

1 * 1 = 1 sq. ft.

1,269 / 1  = 1,269 plots

Finally, we see that we need a total of 1,269 square plots to cover that same area of the garden.

Answer:

2h = 30

Step-by-step explanation:

i hope helper

Answer:

That would be 4/5. A reciprocal is just a fraction inverted, pretty much.

Answer:

72

Step-by-step explanation:

.30×240

72

Answer:

$72

Step-by-step explanation

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Answer:

3 adjacent

4. complementary

Answer:

58.25n+30p-2

Step-by-step explanation:

Given the expression as;

1 + 4.25n + 32p – 3 + (–2p) + 54n

collect like terms

1-3+4.25n+54n+32p-2p

-2+58.25n+30p

58.25n+30p-2

I have copied one brainly user's answer, sorry for that...

However, hope it helps you!!!

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

cos  = adj/ hypotenuse

Cos A = 30 /34

Simplifying

Cos A = 15/17

Answer is in a photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

cutt.us/tWGpn

Answer:

A) 69.08 m

Step-by-step explanation:

C=2πr

C=2π(11)

C=22π

C≈69.12

Answer:

drraaaaaa wild'n out boiii

Step-by-step explanation:

Taking my points back.

Answer:

If you have 10 phones, this is the 100%

then:

10 = 100%

Now we know that only 3 of them work correctly, then the percentage of pones that works correctly can be related to:

3 = X%

To find the value of X%, we can take the quotient of the equations:

3 = X%

and

10 = 100%

We ge:

(3/10) = (X%/100%)

We solve this for X and we get:

(3/10)*100% = X% = 30%

As we already know.

Now let's see how this percentage changes if we add more phones that do not work correctly.

Now we add another phone that does not work, so we have a total of 11 phones and 3 of them work.

then:

3 = X%

11 = 100%

The quotient is:

(3/11) = (X%/100%)

(3/11)*100% = X% = 27.3%

If we add another phone, now we have 12 phones and only 3 of them works, then 12 is the 100%, and we have the equations:

3 = X%

12 = 100%

Then we get:

(3/12) = X%/100&

(3/12)*100% = X% = 25%