Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is:
Answer:
Step-by-step explanation:
(-3/4)x + 9 = (-1/2)x + 8
9 - 8 = (-1/2)x + (3/4)x
1 = (1/4)x
x = 4
y = (-3/4)4 + 9
y = -3 + 9
y = 6
10 + (-5) = 10 - 5 = 5
-11 + 20 = 20 + (-11) = 20 - 11 = 9
102 + (-1) = 102 - 1 = 101
<span>-20 + 60 = 60 + (-20) = 60 - 20 = 40</span>
Answer:
f(x)=3(x-4)(x+3)
Step-by-step explanation:
Quadratic function follows the f(x) = ax^2 +bx+c pattern
f(x)=3(x-4)(x+3) after multiplying out is equal to
f(x)=(3x-12)(x+3) = (3x^2+9x-12x-36) = (3x^2-3x-36)
f(x) = (3x^2-3x-36)
where
a = 3
b = -3
c = -36
Answer:
hope that helps
Step-by-step explanation:
Factoring p2-14p-24
The first term is, p2 its coefficient is 1 .
The middle term is, -14p its coefficient is -14 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -14 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
-2 + 12 = 10
-1 + 24 = 23
