Answer:
height = 2.5 ft , base = 8 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
height = h then base = 2h + 3 and A = 10 , then
h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )
h(h + 3) = 20 , that is
h² + 3h = 20 ( subtract 20 from both sides )
h² + 3h - 20 = 0 ← in standard form
(h + 4)(2h - 5) = 0 ← in factored form
equate each factor to zero and solve for h
h + 4 = 0 ⇒ h = - 4
2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5
but h > 0 , then h = 2.5
and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8
that is height = 2.5 ft and base = 8 ft
Answer:
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97
Step-by-step explanation:
those are the prime numbers
C. Region D
Step-by-step explanation:
Just plug the equations into desmos the calculator will graph it and show you with colors where the solution is.
2 right 3 up... hope this helped you
Answer:
a < -12
Step-by-step explanation:
Isolate the variable, a. Treat the < as a equal sign, what you do to one side, you do to the other. Subtract 2 from both sides:
a + 2 < -10
a + 2 (-2) < -10 (-2)
Simplify:
a < -10 - 2
a < -12
a < -12 is your answer.
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