Point slope form is y2-y1=m(x2-x1).
The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:
y-7=1/4(x+2) is the answer.
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Answer:
H. 39.6
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
Reason:
1) assumptions given
2) RUTS is a rectangle
3) RUTS is a rectangle
4) because:
+) ∠STU and ∠SRU are the right angles
+) RU = ST; UT = RS
=> ΔURS ≅ ΔSTU (SAS)
5) because ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT
Step-by-step explanation: