Answer:
Red
Step-by-step explanation:
P = 30/120 = 1/4
The spinner is divided into 8 equal sections. 1/4 of 8 is 2. So we're looking for a color that appears on exactly 2 of the sections.
The color is red.
Answer:
x = -11
Step-by-step explanation:
I'm assuming it's an isosceles triangle so 32 + 2x = 10;
subtract 32 from both sides;
2x = -22
x = -11
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
Answer:
A. 6x + 4
B. 22 cm
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.
When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.
I don’t know how to necessarily complete the tables but i know they are equivalent
1. 3(x-5)
3 (x) = 3x
3 (-5) = -15
that is the distributive property thus it equals
3x - 15
2. 3x - 15
they’re the same
