Answer:
a = - 5, a = - 3
Step-by-step explanation:
Given
a² + 8a + 15 = 0 ← in standard form
(a + 3)(a + 5) = 0 ← in factored form
Equate each factor to zero and solve for a
a + 3 = 0 ⇒ a = - 3
a + 5 = 0 ⇒ a = - 5
X=-9
There is no slope in either equation. Therefore, x=-11 and x=-9 will be two vertical and parallel lines at (-11,0) and (-9,0)
Answer:
The third choice is the correct answer
Step-by-step explanation:
The set of ordered pairs which could be generated by an exponential function is
If we examine the y-values of this set of ordered pairs, we can see that they have a common ratio of
This makes it exponential.
4x + y = h
Rearrange the problem so your equation equals x, not h
y - h = -4x
Divide both sides by -4
-4y - 4h = x
Cheers!
Answer:
Step-by-step explanation:
If the upper triangle has a right angle at Island C, we need only use the Pythagorean Theorem to find x:
(10 mi)^2 + (20 mi)^2 = x^2, so that
x^2 = 100 mi^2 + 400 mi^2 = 500 mi^2, which reduces to
x = +10√5 mi
Note that the shortest side (10 mi) is adjacent to a 30 degree angle. Thus, the upper triangle is a 30-60-90 triangle, meaning that the Pythagorean Theorem DOES apply here.
Next time, please incude ALL of the verbal instructions. Thank you.
