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lianna [129]
3 years ago
5

Given a line with a slope of1/2 and a point(6,5) which lies on that find an equation to represent that line

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

The equation of the line is given as  2 y - x = 4.

Step-by-step explanation:

Here, the slope of the given line = 1/2

The point  on the line is (x0,y0) = (6,5)

Now, by POINT SLOPE FORMULA:

The equation of line with (x0,y0) and slope m is written as:

(y - y0) = m (x-x0)

So, here the equation of line is given as

( y- 5) = \frac{1}{2} (x-6)\\\implies 2( y-5) = ( x-6)\\or, 2y - 10 = x - 6\\\implies  2y - x = 4

Hence the equation of the line is 2 y - x = 4.

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A survey of 9th and 10th graders was conducted to see which type of pet they
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Answer:

D 9/26

Step-by-step explanation:

Out of the 10th graders there are 104 total responses.  Knowing we only need data from 10th graders we can ignore everything else.  36/104 10th graders like cats and if you divide that by 4 you'll get the only possible answer of 9/26.  D 9/26 10th graders like cats.

6 0
3 years ago
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Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

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2 years ago
Which expression represents the employees take home pay after deductions
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#10) What is the rate of change of y with

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