Answer:
RQ = 9.
Step-by-step explanation:
m < RPQ = 180 - 90 - 75 = 15 degrees
m < PQM = 75 - 60 = 15 degrees.
So triangle PMQ is isosceles so side PM is congruent to side MQ, therefore MQ = 18.
Triangle RQM is a 30-60-90 triangle with RQ the shortest leg (because it is opposite the lowest angle) so that makes RQ = 1/2 of MQ. (The sides in a 30-60-90 triangle are in the ratio 1:sqrt3:2)
RQ = 1/2 * 18 = 9.
Answer:
10 scholars
Step-by-step explanation:
you just to count all of the ones taller than 36 and the subtracrt by all the ones shorter than 36.
scholars = 13 - 3 = 10
Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
The discriminant is the secion inside the double parenthasees [()] below in the quadratic formulat which is
x=
![\frac{-b+ \sqrt{[(b^{2}-4ac)]} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%20%5Csqrt%7B%5B%28b%5E%7B2%7D-4ac%29%5D%7D%20%7D%7B2a%7D%20)
the determinant determines or tells whether the answer is real or imaginary
if it is negative, then it is imaginary, if positive, then it is real
so basically the discriminmant is

so ax^2+bx+c
a=x^2-2x-15
a=1
b=-2
c=-15
subsitute

=4-4(1)(-15)=4+60=64
the discriminant is (

) or 64
Answer:
Step-by-step explanation:
By geometric mean property:
