The lenghts of two sides of. a triangle are 12cm and 15cm.between what two measures should be the length of the third side fall?

The sum of a number and 5 times a second number is represented by the equation a+5b=19 . The sum of half of the first number and

TiliK225 [7]

Here you have a system of 2 equations and 2 unknowns. An easy way to solve this type is to isolate one of the variables.

12a + 2b = 8
2b = 8 - 12a
b =
$b = \frac{8 - 12a }{2}$
b = 4 - 6a

Now plug 4 - 6a into equation 1 to solve for a.

a + 5(4 - 6a) = 19

a + 20 - 30a = 19

-29a = -1

a = 1/29 (answer)

Now plug a into the equation for b

b= 4 - 6(1/29)

b= 110/29 (answer)

4 0

2 years ago

What constant do you need to add to each quadratic to complete the square? 1. x2 - 4x = 0 4 2. x2 - 8x = 6 9 3. 3x2 + 18x = 24 1

Radda [10]

1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.

Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.

2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.

3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.

6 0

2 years ago

3

Furkat [3]

Answer:

There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.

3 0

2 years ago

Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).

Lana71 [14]

Answer:

f(x + 1) = x² - x

Step-by-step explanation:

f(x) = x² - 3x + 2 when f(x + 1)

f(x + 1) = (x + 1)² - 3(x + 1) + 2

f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2

f(x + 1) = x² - x + 0

f(x + 1) = x² - x