Answer:
1/8
Step-by-step explanation:
P(-3, 0) and Y(5,-1)
If PLAY is reflected over x-axis, then P-->P'(-3,0) and Y-->Y'(5,1)
Slope of P'Y' = (1 - 0)/(5+3) = 1/8
Hey there!
When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.
<u>Starting with A: </u>
Expand:
3 x 2x^2 + 3 x -x + 3 x -6
Simplify 3 x 2x^2 to 6x^2
6x^2 + 3 x -x + 3 x -6
Regroup.
6x^2 = 3x + 3 x -6
Simplify 3 x -6 to -18
6x^2 - 3x - 18
That does not match up to 6x^2-2x-20.
A is INCORRECT.
<u>Solving B:</u>
Collect like terms:
4x - 2x + 2x^2 - 20
The ones bolded are like terms.
So, we now collect them and add them.
4x^2 + 2x^2 = 6x^2
6x^2 - 2x - 20
That matches up with 6x^2-2x-20.
B is CORRECT.
<u>Solving C:</u>
Multiply the parentheses then multiply:
6x^2-12x+10x-20
Collect like terms:
6x^2 - 2x - 20
This matches up with 6x^2-2x-20.
Thus, C is CORRECT.
<u>Solving D:</u>
Multiply the terms in the parentheses by -2:
6x^2 - 2x - 2 x 10
Multiply the numbers:
6x^2 - 2x - 20
This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>
Thus, D is also CORRECT.
<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>
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Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees