Answer:
θ ≈ 71.6°
Step-by-step explanation:
The angle between two lines with slopes m₁ and m₂ is:
tan θ = | (m₂ − m₁) / (1 + m₁m₂) |
Here, m₁ = -2 and m₂ = 1.
tan θ = | (1 − (-2)) / (1 + (-2)(1)) |
tan θ = | 3 / -1 |
tan θ = 3
θ ≈ 71.6°
Answer: m = 2
Step-by-step explanation:
What we know:
- The slope needs to pass through the points (1, -5) and (4, 1)
- There are 4 potential slopes given to us- only one is correct
- We need to find the slope and make sure it is an option
How to solve:
By using the slope equation and the two points given to us, we can calculate the slope.
Process:
- Set up equation (y2 - y1) / (x2 - x1)
- Substitute (1 +5 ) / (4 - 1)
- Simplify 6 / 3
- Simplest form 2/ 1 =
Slope = 2
Solution: m = 2
Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Answer:
4
Step-by-step explanation:
Slope=rise over run.
From bottom marked point (-3, -3) to the other (-2, 1)...
Rise= 4
Run= 1
4/1=4
Therefore, the slope is 4.
Hope this helps!! Have an amazing day ❤
Answer:
a) x = -10
b) x = 7
Step-by-step explanation:
a)
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
b)
4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7
