Answer:
135
Step-by-step explanation:
all triangles have angles that add to 180. angle a is 28 angle c is 17 which makes angle BAC 135
Answer:the answer is 28 the second one.
Step-by-step explanation:
Answer:
4n is less then or equal to 13-3
Step-by-step explanation:
Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Answer:
x = -5
Step-by-step explanation:
In both questions you want to get the x alone.
1.
-3x + (-6) = 9
First you want to add 6 to both sides so you'll be left with:
-3x = 15
Next, you want to divide both sides by -3 and you'll get:
x = -5
2.
-4x + (-12) = 8
You want to do the same thing as the first one so you'll add 12 to both sides:
-4x = 20
Then, you will divide both sides by -4 and get:
x = -5