Answer:
Step-by-step explanation:
Remember
You are given the fraction
First, multiply the numerator and the denominator by -2-3i:
This gives you 13 in denominator, now multiply two complex numbers in numerator:
Thus, the initial fraction is
Answer:
57
Step-by-step explanation:
Given:
x = 4
y = 5
w = -3
Work:
3xy + w
3(4)(5) + (-3)
12(5) - 3
60 - 3
57
<h3>If the width w is 55 feet and the perimeter P is 290 feet.
</h3><h3>Use the formula P = 21 + 2w to find the length</h3>
<em><u>Solution:</u></em>
<em><u>The perimeter of rectangle is given as:</u></em>
P = 2(length + width)
From given,
length = ?
width = 55 feet
perimeter = 290 feet
Therefore,
290 = 2(length + 55)
Thus length of rectangular lot is 90 feet
<h3>Use the equation y = (x + 1)2 - 10 to find the value of y when x is -2</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
To find: y when x = -2
Substitute x = -2
Thus y is -9 when x is -2
Answer:
- Q1. 86°
- Q2. B(2,0), D(3,1)
Step-by-step explanation:
Q1
<u>The angle of rotation is twice the angle of intersection:</u>
Q2
<u>Dilation by a scale factor of 2 resulted in:</u>
- (x, y) → (2x, 2y) for each point C' and D'
<u>The endpoints of the original segment are:</u>
- C = (4/2, 0/2) = (2, 0)
- D = (6/2, 2/2) = (3, 1)
Correct choice is B
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km