Answer:
Step-by-step explanation:
27+36
=9×3+9×4
=9(3+4)
=9×7
=63
27+36=63
so 27+36=9(3+4)
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.
5
Simplify —
4
Equation at the end of step 2 :
5 6
(w - — ) - — = 0
4 7
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
w w • 4
w = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
w • 4 - (5) (4w - 5
)
——————————— = ——————
4 4
Equation at the end of step 3 :
(4w - 5) 6
———————— - — = 0
4 7
Answer: y = -3/4x
Step-by-step explanation:
the slope is -3/4
