Find equation of this line.

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

Answer:

f(x) + g(x) = (-2x + 8)+ 3x

f(x) + g(x) = -2x + 8 + 3x   Combine like terms.

f(x) + g(x) = x + 8        

f(x) + g(x) = (f+g)(x) = x + 8

(f + g)(-1) = -1 + 8

(f + g)(-1) = 7

Step-by-step explanation:

Answer:

reproductive

Step-by-step explanation:

Answer:

2/12

Step-by-step explanation:

Answer:

4 miles

Step-by-step explanation:

Answer:

4 miles

Step-by-step explanation:

4 + 3x = 16      16 - 4 = 12 / 3 = 4

The given expression is equivalent to -

Given is the expression as -

6(b + 2) – b

We can write this expression as -

6(b + 2) – b = 6b + 12 - b = 5b + 12

Therefore, the given expression is equivalent to -

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Answer:

2.89

Step-by-step explanation:

Answer:

2.89

Step-by-step explanation:

cuz other answer said this lol

Answer:

1/3 and false at least i think wait for other answer to make sure it is correct

Step-by-step explanation:

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Answer:

The discount is $20 off or 50% off.

Step-by-step explanation:

It is easy math.

Answer:

8

Step-by-step explanation:

a+6=14

a=14-6

a=8

Therefore

8+6=14

Answer: 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

There are 12 1/4s in 3

Add the extra 1/4 + 13 1/4s

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25% of 360

Answer:3/12 1/4

Step-by-step explanation:hope it helps

Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

Answer:

5 twenty's 1 five

Step-by-step explanation:

20 x 5 = 100

100 = 5 = 105

Answer:

$38

Step-by-step explanation:

I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.

You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.

A percentage is a number or ratio that represents a fraction of 100. 

If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Cost of an item including tax = $41.04

Sales tax = 8%

8% = 8/100

The cost of the item without the sales tax:

= 41.04 - (8% of 41.04)

= 41.04 - (8/100 x 41.04)

= 41.04 - 3.2832

= 37.76

Thus,

The cost of the item before the tax is $37.76.

Learn more about percentages here:

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Answer:

the answer is no

Answer:

44°

Step-by-step explanation:

In the first triangle, the third angle is 180-95-39=46.

It has a congruent angle in the second triangle.

So the second triangle is 180-90-46=44°

a=44°

Answer:

404.8

Step-by-step explanation:

100%=460

12%=x

x=(12*460)/100

x=55.2

Answer=460-x

Answer:

Range is 8

Step-by-step explanation:

To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.

28-20=8

Answer:

1

2

4

Step-by-step explanation:

Answer:

[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]

Step-by-step explanation:

First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.

Answer:

D

Step-by-step explanation:

He goes 66 MPH because 66 times 10= 660 MPH

Hopefully this helps!

Answer: 43!

Step-by-step explanation:

Answer:

check the first two and the last one

Step-by-step explanation:

you use multiplying/dividing and adding/subtraction to get the answer

10x+45x-13 = 11(5x+6)

55x-13 = 11(5x+6) combine like terms

55x-13 = 55x+66 distribute the 11 to the 5x and 6

-13 = 66 cancel out equal terms on both sides

the statement is false meaning there is equation has no solution

Answer:

check the first two and the last one

Step-by-step explanation:

Answer:

[tex] \boxed{x = 4.0497}[/tex]

Step-by-step explanation:

[tex] \boxed{question \: \underline{4}.} \\ 5 {x}^{2} - 7(9.5 + 3) = - 5.5 \\ 5 {x}^{2} - 66.5 - 21 = - 5.5 \\ 5 {x}^{2} = - 5.5 + 87.5 \\ 5 {x}^{2} = 82 \\ {x}^{2} = \frac{82}{5} \\ {x}^{2} = 16.4 \\ x = \sqrt{16.4} \\ \boxed{ x = 4.0496913463}[/tex]

♨Rage♨........if you still need my help with the rest....then post each question seperatly.♨

Answer:

A. (-3,0)

Step-by-step explanation: you have to set the equation y to zero and than calculate the x

--> (x + 2)(x2 + 4x+3) = 0

--> (x+2) = 0 and (x2 +4x + 3) =0

--> X = -2 and        D= (4² - 4*2*3) = 4

                                      X = (-4 + [tex]\sqrt{4}[/tex]) / 2 of  X = (-4 + [tex]\sqrt{4}[/tex]) / 2

                                       x= -1                         x=-3

Answer:

The answer is (-3,0)

Answer:

D, or [tex]\frac{-1}{16}[/tex]

Step-by-step explanation:

To add (or subtract) fractions, you need to have a common denominator.

You might notice that the 16 on the bottom is a multiple of 8.

8*2 as a matter of fact

If we multiply [tex]\frac{1}{8\\}[/tex] by 1, it doesn't do anything, it stays as 1/8

1 is the same thing as [tex]\frac{1}{1}[/tex] and is also the same as [tex]\frac{2}{2}[/tex]

If we multiply [tex]\frac{1}{8}[/tex] by [tex]\frac{2}{2}[/tex], we get a bigger fraction, which is [tex]\frac{2}{16}[/tex]

So, our problem can be re-written as [tex]\frac{2}{16}+(-\frac{3}{16} )[/tex]

To add (or subtract) fractions with common denominators, you keep the common denominator and add (or subtract) the numerator.

[tex]\frac{2}{16}+(-\frac{3}{16})=\frac{2-3}{16}=\frac{-1}{16}[/tex]

The last step is to see if our answer can be reduced.

A fraction can't be reduced if there is a prime number in either the numerator or the denominator.

There is a -1 in the numerator, which is prime, and therefore, the fraction can't be reduced.

Answer:

D is the answer.

Step-by-step explanation:

Y is going up by 3, while x is going up by 2. 3 over 2, which is the last answer.

we now its 3/2 because of the formula rise/run (rise over run).