Answer:
x^2 - 5x = 14
x^2 - 5x-14 = 0
Now, we have to find the multiples of -14 and numbers that add/subtract to -5; this helps to find the factors.
-7+2 = -5
-7*2 = -14
Based on the above info, we can find out my factors; they are:-
(x-7)(x+2)
Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle
step 1
Find the area of the triangle
The area of the triangle is equal to

we have

To find out the height of the triangle Apply the Pythagorean Theorem

solve for h




<em>Find the area of triangle</em>


step 2
Find the area of rectangle
The area of rectangle is equal to

we have

substitute

step 3
Find the area of the figure
Adds the areas

235/4 equals 58.75
Hope this helps!
Answer: number 7. 7
Step-by-step explanation:
Simplifying
7X + 1 + -5X = 15
Reorder the terms:
1 + 7X + -5X = 15
Combine like terms: 7X + -5X = 2X
1 + 2X = 15
Solving
1 + 2X = 15
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2X = 15 + -1
Combine like terms: 1 + -1 = 0
0 + 2X = 15 + -1
2X = 15 + -1
Combine like terms: 15 + -1 = 14
2X = 14
Divide each side by '2'.
X = 7
Simplifying
X = 7
Evaluating determinants. Attached solution.