Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
=
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
<span>First we need to find the GCF (greatest common factor)</span>
<span>Factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42</span>
<span>Factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48</span>
<span>GCF is 6</span>
<span>To simplify you divide numerator and denominator into the GCF</span>
<span>42 ÷ 6 = 7</span>
<span>48 ÷ 6 = 8</span>
<span>42/48 = 7/8</span>
<span>Hope this helps. :)
</span>