Answer:
100 has <u>5</u> factor pairs, so that many different rectangles can be drawn. 15 only has <u>2</u> factor pairs, so only that many different rectangles can be drawn.
Explanation:
there are 5 pairs of whole numbers that multiplied together will be 100:
- 100 x 1 = 100
- 50 x 2 = 100
- 25 x 4 = 100
- 20 x 5 = 100
- 10 x 10 = 100
while there are only 2 pairs of whole numbers that multiplied together will be 15:
- 15 x 1 = 15
- 3 x 5 = 15
Answer:
Step-by-step explanation:
B, y=5x
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
|x| = x for x ≥ 0
examples:
|3| = 3; |0.56| = 0.56; |102| = 102
|x| = -x for x < 0
examples:
|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102
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Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
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Put the values of x to the equation of the function h(x):