Answer:
Therefore,

Step-by-step explanation:
Given:
Let,
point L( x₁ , y₁) ≡ ( -6 , 2)
point M( x₂ , y₂ )≡ (x , 2)
l(AB) = 15 units (distance between points L and M)
To Find:
x = ?
Solution:
Distance formula between Two points is given as

Substituting the values we get

Square Rooting we get

As point M is located in the first quadrant
x coordinate and y coordinate are positive
So x = -21 DISCARDED
Hence,

Therefore,

Answer:
(a)
Number of cars with defective turn signals = 65
Number of cars with no defective turn signals = 410 - 65 = 345
<u>Required probability:</u>
- P = 345/410*100% ≈ 84.15%
(b)
Number of cars with defects = 65 + 35 = 100
Number of cars with no defects = 410 - 100 = 310
<u>Required probability:</u>
- P = 310/410*100% ≈ 75.61%
Answer:

Step-by-step explanation:
we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b
we will do this by plugging in the required coordinates
-2=(6/5)*5+b
-2=6+b
-8=b
put it all together
Answer:
28
Step-by-step explanation:
VZ = ZY
2x +2 = 3x -4
6 = x . . . . . . . . add 4-2x to both sides
VZ = 2x +2 = 2(6) +2 = 14
Now we can find VY.
VY = VZ + ZY = 14 + 14 . . . . . . VY is the total of the two halves
VY = 28
Answer:
Everything except the finding the midpoint
Step-by-step explanation:
If the question states the points of a shape, you can find the perimeter and the area of the polygon because you would know the dimensions and the lengths of each side, but in the options, it says the area of a rectangle, and it doesn't have to be a rectangle
You can find the equation of the circle, by finding the diameter of the circle and the radius. With the diameter, you would be able to find the centre of the circle and then you need to divide the diameter by two to get the radius.
For the midpoint, you use the midpoint formula. You just need to sub in the points into the formula and you would get the midpoint
When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required