Answer: 54 cm²
Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.
The formula for the area of a trapezoid is shown below.
The <em>b's</em> represent the bases which are the parallel sides and <em>h</em> is the height.
So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have 
.
Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have 
.
is 9 cm and we have 9 cm · 6 cm of 54 cm²
So the area of the trapezoid shown is 54 cm².
Answer:
g(x) = |x-3| -4
Step-by-step explanation:
to shift right by 3, subtract three from x inside the absolute value.
to shift down by 4, subtract 4 outside of the absolute value.
g(x) = |x-3| -4
Which one the first three???
Step-by-step explanation:
We will use pythagoras' Theorem for this question
where c is the longest side (in this case, the diagonal)
a and b are the 2nd and 3rd longest side (interchangeable)
given a = 10.6, b = 16.8,
7+10x-2x-2=-3
—-Combine like terms...10x-2x=8x and 7-2=5
8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8
8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1
Answer: x = -1
