parallel sides measure :
- 10 ft -(a)
- 12 ft. -(b)
Area :
- 44 ft²
height (h) = x
___________________
Therefore, height of Trapezoid is 4 ft
_____________________________
Solve by factoring
2 answers:
Answer:
A
Step-by-step explanation:
Given
4m² - 31m - 45 = 0
Consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 4 × - 45 = - 180 and sum = - 31
The factors are - 36 and + 5
Use these factors to split the m- term
4m² - 36m + 5m - 45 = 0 ( factor the first/second and third/fourth terms )
4m(m - 9) + 5(m - 9) = 0 ← factor out (m - 9) from each term
(m - 9)(4m + 5) = 0
Equate each factor to zero and solve for m
m - 9 = 0 ⇒ m = 9
4m + 5 = 0 ⇒ 4m = - 5 ⇒ m = -
You might be interested in
Answer:
Step-by-step explanation:
Let's solve the first equation for either x or y. I'll do it for x.
Begin by subtracting 5y.
Now divide by 5.
Simplify:
Now substitute x in the second equation for this value.
Distribute;
Add 6
Combine like terms;
Divide by -10.
-----------------------------------------------------------------------------------------------------------
Take this value of y and replace it in the first equation to find the value of x.
Answer:
y=-5/3x+20
Step-by-step explanation:
Let the equation of the required line be represented as
This line is perpendicular to the line
So the equation of the required line becomes
This line passes through the point (15.-5)
So the equation of the required line is
Among the given options, option 4 is the correct one.