4.4a-2.9a= 1.5a
6.8-7.3=(-0.5)
Ans: 1.5a+(-0.5) OR 1.5a-0.5
Answer:
y = 1/3 x.
Step-by-step explanation:
The slope of the given line is
(4 - (-2) / 2 - 4)
= -3.
So the slope of the line perpendicular to it = -1 / (-3) = 1/3.
This line also passes through the point (3, 1) so its equation is ( by the point-slope form):
y - 1 = 1/3(x - 3)
y - 1 = 1/3x - 1
y = 1/3 x (answer).
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Answer:
The quotient is (x² + 2x - 2)
The dividend is (2x³ + 7x² + 2x + 9)
The remainder is 15
The divisor is (2x + 3)
Step-by-step explanation:
- The quotient is the answer of the division
- The dividend is the part before (above) the division sign (bar of the fraction)
- The divisor is the part after (below) the division sign (bar of the fraction)
- The remainder is the part left over in a division problem
The relation between them is dividend ÷ divisor = quotient + ![\frac{remainder}{divisor}](https://tex.z-dn.net/?f=%5Cfrac%7Bremainder%7D%7Bdivisor%7D)
Ex: 37 ÷ 5 = 7 +
, where 37 is the dividend, 5 is the divisor, 7 is the quotient and 2 is the remainder
Let us solve the problem
∵ ![\frac{2x^{3}+7x^{2}+2x+9}{2x+3}=x^{2}+2x-2+\frac{15}{2x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B3%7D%2B7x%5E%7B2%7D%2B2x%2B9%7D%7B2x%2B3%7D%3Dx%5E%7B2%7D%2B2x-2%2B%5Cfrac%7B15%7D%7B2x%2B3%7D)
∵ dividend ÷ divisor = quotient + ![\frac{remainder}{divisor}](https://tex.z-dn.net/?f=%5Cfrac%7Bremainder%7D%7Bdivisor%7D)
- Compare the rule by the given problem
∴ The quotient is (x² + 2x - 2)
∴ The dividend is (2x³ + 7x² + 2x + 9)
∴ The remainder is 15
∴ The divisor is (2x + 3)
Answer:
5: d
6: c
7: parallel
First change the fraction to a decimal by multiplying both sides by 2. 49 times is 98. Therefore, you have to put it as 0.98. Now you put the 686 in place of the 0. The final answer is 696.98.