Solve for y
-7y = -2x + 8
y = (2/7)x - 8/7
A parallel line has the same slope as the given line. The slope of the given line is (2/7)
y = (2/7) x + b Now we have to find b using (-1,-1). When x = - 1 so does y
-1 = ( 2/7)*(-1) + b
-1 + 2/7 = b
b = - 5/7
The line is
y = (2/7)x - 5/7
Answer:
When using the given information, the diameter of the circle is going to be 28 mL.
Step-by-step explanation:
First, we need to know the formula for finding the area of a circle.
Now, we need to rearrange the formula so we can find the radius.
Next, we plug in the given area into the equation.
Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.
So, the diameter of the circle is 28 mL
X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
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x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
--------------------------
x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
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If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
Answer:
First Olympic held in year 1896.
Step-by-step explanation:
Number of Olympiad held in Rio = XXXI = 31st
Difference of years in two consecutive Olympiads = 4 years
Number of years spent in 31 Olympiads can be calculated by,
Number of years spent = (n - 1)d
Here n = number of Olympiads held
d = difference between two consecutive Olympiads
Number of years spent till 31st Olympiads = (31 - 1)×4
= 120 years
Therefore, 1st Olympiad held in the year = 2016 - 120
= 1896
