Answer:
C.118
Step-by-step explanation:
100 + 9x = y ...(1)
x = 2 (Given)
Now,
Put the value of x in equation (1). we get,
100 + 9(2) = y
100 + 18 = y
118 = y
<em><u>y = 118</u></em>
Thus, the value of y is 118
The similar figures are 1,4,6. The figure 2 and 5 have different shape. The figure 3 have different ratio of side lengths.
The given figure is a rectangle with length 6 yd and width 2 yd.
The figure 2 shows a triangle and figure 5 shows a parallelogram, therefore the figure 2 and 5 have different shape
Two figure are called same if their corresponding sides have same proportion.
The figure 1 and 4 have two sides having length 2 yd and 6 yd, So, the figure 1 and 4 shows the similar figure.
The figure 6 have sides 4 and 12 which is twice of side length of given figure, therefore the sides increased by same proportion 2.
Thus, the figure 1,4,6 shows the figure similar to given figure.
In figure 3 the length is 6 and width is 3. The length is same but the width is different.
Therefore the figure 3 have different ratio of side lengths.
Answer:
-8x^2+3x-6
Step-by-step explanation:
(-4x^2+ 3x + 3) - (4x^2 +9)
Distribute the minus sign
(-4x^2+ 3x + 3) - 4x^2 -9
Combine like terms
-8x^2+3x-6
Answer:
Theorem of calculus
Step-by-step explanation:
Take the integral
Integrate the sum term by term and factor out constants
Apply the fundamental theorem of calculus.
<em>The antiderivative of x^2 is x^3/3, while for a constat is x</em>
Evaluate the limits
Answer:
The shorter piece is <u>37</u> inches long.
Step-by-step explanation:
Let the length of the shorter piece be x and the longer piece be 5x.
Short piece + Long piece = 222 inches
x + 5x = 222
6x = 222
x = 222 ÷ 6
x = 37
