Answer:
15.56 ft
Step-by-step explanation:
The formula for the area of a triangle is
A = ½bh
This is an isosceles triangle, so b = h.
Substitute the value of h
A = ½b² = 121
Multiply each side by 2
b² = 242
Take the square root of each side of the equation.
b = √242 ≈15.56 ft
The length of the two equal sides of the triangle is approximately 15.56 ft.
<em>Check:
</em>
A = ½(15.56)² = ½× 242 = 121 ft²
Answer:
(x+c)(x-d)
Step-by-step explanation:
if x²-ax-b=(x-c)(x+d)
from vieta theorem
c + d = -(-a)=a
cd = b
if x²+ax-b
from vieta theorem
c + d = -(a)=-a
cd = b
so the same c d but in opposite sign (x+c)(x-d)
Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
3a² - 2a - 4 + 2a -3a² + 5
Put all the like terms together
= 3a² -3a² + 2a - 2a + 5 - 4
Combine like terms
= 1
Answer: 1
Answer: R x 4 - 6
Step-by-step explanation: