Answer:
A. 5x^2 − 2x − 24 = 0
Step-by-step explanation:
height = 5b-2
b =x
We can rewrite the height as
h = 5x-2
We know the formula for area of a triangle
A = 1/2 bh
A =1/2 x * (5x-2)
Distributing the x
A= 1/2 (5x^2 - 2x)
We know A =12
12 = 1/2 (5x^2 - 2x)
Multiply each side by 2
12*2 = 2*1/2 (5x^2 - 2x)
24 = 5x^2 - 2x
Subtract 24 from each side
24-24 = 5x^2 - 2x-24
0 = 5x^2 - 2x-24
Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703

It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.
The answer is

first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms

this gives you 3x^2, then you multiple the outer terms

this gives you -21x, then you multiply the inner terms

that gives you 2x, finally you multiply the last terms

that gives you 14, now you combine like terms

now you put all the terms together and end up with your solution
Since the two triangles are similar, then the ratio of the corresponding sides is equal. Therefore;
JP/GM=PK/MH
26/GM = 16/36
GM= (26×36)/16
= 58.5
Answer:
32 + x= 90
x= 90- 32 = 58
x + y = 90
38 + y= 90
y= 90-38
y = 52
Step-by-step explanation: