Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Answer:
ok i see it
Step-by-step explanation:
Answer:
B) x - 4
Step-by-step explanation:
In this question, you have to simplify the expression to get your answer.
Solve:
1/2(2x - 8)
Use the distributive property.
1/2(2x) + 1/2(-8)
x + 1/2(-8)
x - 4
Your answer would be B) x - 4
Answer:
(-6, -3)
Step-by-step explanation:
The coordinate is at (2, -1), when using a dilation with a scale factor of 3, multiply the coordinates by 3.
(2, -1) ------> (2 x 3, -1 x 3) ----------> (6, -3)
When reflecting the point over the y-axis, take the opposite of the x coordinate.
(6, -3) ------> (-6, -3)