The equation of the line has the form: y = ax+b parallel to the line y = -2x + 7
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9
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4a + 1v =57
-2a +1v= 9
I will multiply the second by -1 to cancel v variable (elimination method)
4a +1v =57
2a -1v = - 9
add both
6a. = 48
a= 8
4a= 32
32 + v = 57
v= 25
32+25 = 57
-16 +25=9
Answer:
A. 
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
The least possible sum is 6 and 4. If your having problems, write down the factors and choose the pair that adds up the smallest number :)