Answer:
-94
Step-by-step explanation:
t² + 21t - 56
(-2)² + 21(-2) - 56
4 - 42 - 56
-38 - 56
-94
Best of Luck!
4 |x = 5| = 20
First, divide both sides by 4. / Your problem should look like:
Second, simplify

to 5. / Your problem should look like:
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. /
Cancel 5 on both sides. /
Fifth, solve -(x + 5) = 5 /
Simplify brackets /

Add 5 to both sides /

Add 5 + 5 /

Multiply both sides by -1 /

x = -10
Sixth, collect the solutions to the problems. / Your problem should look like:

Answer:
x = -10, 0
Area of rhombus = 0.5 x D1 x D2
Thus,
Area = 0.5 x 30 x 18
= 270 units ^2
X + y = 22
x = 3y + 2
3y + 2 + y = 22
4y + 2 = 22
4y = 22 - 2
4y = 20
y = 20/4
y = 5
x = 3y + 2 = 3(5) + 2 = 15 + 2 = 17
ur numbers are 5 and 17
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.