9514 1404 393
Answer:
Step-by-step explanation:
The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)
a) the sign of 3i is changed: 2 + 3i
b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5
c) the sign of 2i is changed: 7 +2i
d) the sign of sqrt(7) is changed: 4 +√7
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‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.
Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.
Answer: 42
For this situation we will use a ratio to show how many free throws Erin will make. Using the ratio 7:10 represents that Erin will make 7 out of every 10 free throws. You want to know how many free throws she will make if she attempts 60 free throws.
Using ratios we will be able to find how many free throws she will make if she attempts 60.
7:10
14:20
21:30
28:40
35:50
42:60
Basically we kept multiply the right side of the ratio which is 10 by 2 until we were at 60 free throws.
Erin will make 42 free throws if she attempts 60 free throws.
Answer:
<h2>B. 243</h2><h2 />
Step-by-step explanation:
F(x) = 3^x
then
F(5) = 3^5 = 3×3×3×3×3 =243
Answer and explanation:
We know that this is in slope-intercept form. ( y = mx + b )
1/2 would be the slope (you would use this to graph the next point)
-4 would by your y-intercept (where the line crosses the x-axis)
With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.
X = -10
Explanation:
-1.1x + 8.1x + 38 = -32
Combine like terms : -1.1x + 8.1x
7x + 38 = -32
Subtract 38
7x = -70
Divide by 7
7x = -70/7
Answer:
x = -10
