Answer:
Step-by-step explanation:
Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:
Answer:
b= -5
Step-by-step explanation:
-10(10+b)=5(3b+5)
Distribute
-100 -10b = 15b +25
Add 10b to each side
-100-10b+10b = 15b+10b +25
-100 = 25b+25
Subtract 25 from each side
-100-25 = 25b+25-25
-125 = 25b
Divide by 25
-125/25 =25b/25
-5 =b
this triangle is obtuse meaning the degree it's currently at is 270°
Answer: x = 18
Step-by-step explanation:
First, since both angles shown are equal to each other, you can immediately set your equation.
5x + 5 = 95
Next, move 5 to the opposite side of the equation to isolate your x value (5x). This step is simply subtracting the hanging 5.
5x + 5 (-5) = 95 (-5)
5x = 90
Finally, you need to divide both sides of the equation by 5 (the 5 next to the x) to *fully* isolate the x value.
5x / 5 = 90 / 5
x = 18
final answer: x = 18
Hopefully this helps with the remainder of your lesson! :)
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
