The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.
we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.
-1----0----1----
2 ----3-----4------5
well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?
y = (x - 5)(x + 1)
y = (2 - 5)(2 + 1)
y = (-3)(3)
y =
-9
The statements that are true about ΔLNM are:
Hypotenuse = LN
Opposite side to ∠L = NM
Side opposite to ∠N = ML.
<h3>What is a Right Triangle?</h3>
A right triangle has right angle (angle 90) that is opposite to the longest side (hypotenuse).
From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.
Therefore, the true statements about the triangle are:
- Hypotenuse = LN
- Opposite side to ∠L = NM
- Side opposite to ∠N = ML.
Learn more about the right triangle on:
brainly.com/question/2437195
#SPJ4
B. Is the correct answer. For part B, he can buy 15 balloons since X=15. Plug this back into the equation to check: 2(15)+20=50.
2(15)=30+20=50.
Answer:
C) 21
Step-by-step explanation:
a² + 20² = 29² Use Pythagorean Theorem to solve for a
a² + 400 = 841 Solve for the exponents
- 400 - 400 Subtract 400 from both sides
a² = 441 Take the square root of both sides
a = 21
For all exponents, (a^n a^m) = a^(n+m)
apply same rules (X^3X^2)/(4*3)
Combine powers. (X^3X^2)/4*3 = X^(3+2)/4*3
X^5/12