Hey there. So first we need to know what the point slope form looks like.
It is Y-Y1=M (X-X1)
Knowing this you just plug in the given information.
M is equal to 1/6. So in this case all of the options have the correct m. Next we look at the Year value. We know Y is a positive 4. So the beginning of the equation is going to look like
Y+4=1/6 ( X-X1).
Nown plug in x. It would be a negative 5. Now your final answer would be option A. Hope the explanation helped.. :)
Answer:
2) Angle 6 and Angle 5, Angle 3 and Angle 2
100% correct don't worry ;)
Step-by-step explanation:
6 & 5 and 2&3 are the adjacent angles
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Answer: 2
Step-by-step explanation:
(x1,y1) = (-1,0)
(x2,y2) = (3,8)
m = (8–0)/(3-(-1))
m = 8/(3+1)
m = 8/4
m = 2
Answer:
44
Step-by-step explanation:
You plug in both numbers for the corresponding letters
