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natali 33 [55]
3 years ago
9

Choose the equation that represents the line passing through the point (2,-4) with a slope of 1/2? y=1/2x+5, y=1/2x-3, y=1/2x-5,

y=1/2x+3
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0
Correct answer: <span>y=1/2x-5
</span>
given: point = (2,-4)
slope = 1/2 

Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept

Now, 
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5 

Hence, equation of line is : y = 1/2x-5
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Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12
solong [7]
99 km ... 9 liters
x km   ... 12 liters

If the relationship is proportional, we have

\frac{99}{x} = \frac{9}{12}

from where 

x =  \frac{99*12}{9}= \frac{1188}{9}=\bold{132}

The answer is 132 kilometers.
5 0
3 years ago
Write 10 5/12 as an equivalent improper fraction.
velikii [3]
10\frac{5}{12} =\frac{(10\times12)+5}{12}=\frac{120+5}{12} =\boxed{\bf{\frac{125}{12}}}

Your final answer is A. 125/12
4 0
3 years ago
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Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Ilya [14]

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

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7 0
3 years ago
What is the greatest common factor of 15x^3y^2 and 20x^4y^4?
Vanyuwa [196]
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

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<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

6 0
3 years ago
June 1st = 1223 starting balance
Dima020 [189]

<u>Answer:</u>

The average daily balance for the month of June is 55.16

Solution:

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June 22nd = withdrawal of -120

These will be subtracted from the account.

\therefore We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.

So, the total amount deposited in June is (1223 +615-63-120) = 1655

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So, in 1 day the deposit is \frac{1655}{30} = 55.16

Hence, the average daily balance for June is = 55.16  

5 0
3 years ago
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