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soldier1979 [14.2K]
3 years ago
6

How do I solve this question

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Sum = -12

Product = -48

Factors = -12 , 4

-12 + 4 = - 8  & -12 * 4 = -48

x² - 8x - 48 = x² - 12x + 4x  - 4*12

                  = x(x - 12) + 4(x - 12)

                 = (x - 12) (x + 4)

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
4 years ago
I'm pretty sure its D.
lidiya [134]
I hope this helps you




5=7x+0.1+10x-0.2


17x=5.1


x=5.1/17


x=3/10


x=0.3


7 0
3 years ago
Review the bar graph below:
Scrat [10]

Answer:

B. 12.5%

Step-by-step explanation:

Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:

100%=20(1)

x%=2.5(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left hand side) of both equations have the same unit (%); we have

\frac{100}{x}=\frac{20}{2.5}

Taking the inverse (or reciprocal) of both sides gives us this:

\frac{x}{100} =\frac{2.5}{20}

>> x=12.5\%  

Therefore, 2.5 is 12.5% of 20.

5 0
3 years ago
Find the missing side. round to the nearest tenth.
horrorfan [7]

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

5 0
3 years ago
I need help?? please help
iris [78.8K]
Its easy you just have to do the pi formula
3 0
3 years ago
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