Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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Answer: e
Step-by-step explanation:
The vertex is at (-3, 1).
- The x coordinate being -3 eliminates a, b, and c.
- The y coordinate being 1 eliminates d.
This leaves e.
Y = 2/5x + 3. The slope here is 2/5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal. we " flip " the slope and change the sign. So the perpendicular line will need a slope of -5/2.
y = mx + b
slope(m) = -5/2
(4,-4)....x = 4 and y = -4
now we sub and find b, the y int
-4 = -5/2(4) + b
-4 = - 10 + b
-4 + 10 = b
6 = b
so ur perpendicular line is : y = -5/2x + 6
Answer:
17 and 10
Step-by-step explanation:
Write the problem as an equation.
a+b=27
a=b-7
Where a and b are the two numbers you are trying to find. You could use any variables. Then solve.
b+(b-7)=27 Sub (b-7) for a
2b-7=27 Group like terms
2b=34 Add 7 to both sides
b=17 Divide both sides by 2.
Because b=17, a must be 10.