In a triangle the midline joining the midpoints of two sides is parallel to the third side and half as long ⇒
2(3x + 2) = 2x + 20
6x + 4 = 2x + 20
6x - 2x = 20 - 4
4x = 16
x = 16/4
x = 4
midsegment = 3x + 2 = 3*4 + 2 = 12 + 2 = 14
Red card because it is a fifty fifty chance for the colors but a 3 in 10 chance for a face card
Answer:
C
Step-by-step explanation:
The shape moves to the left by 8 and up by 7.
Answer:
Step-by-step explanation:
The given expression is 26.48. We need to write the equivalent expression for it. There are two numbers after decimal. It means that we can divide 2648 by 100 i.e.
We know that, 2648 = 662 × 4 and 100 = 25 × 4
Hence, is the equivalent expression.
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
