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Savatey [412]
2 years ago
10

the area of a rectangle is given by the equation y=x^2-9x+14 and the length of the rectangle is x-2. which of the following expr

essions represents the width of the rectangle?
Mathematics
1 answer:
Rudik [331]2 years ago
3 0
Divide x2 - 9x +14 by x-2
You get x - 7

Check your work by multiplying x-2 and x-7
Since you get x2 - 9x +14,

x-7 is the answer.
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Find the slope given: (1,5) &amp; (3,12)<br> m =
e-lub [12.9K]

Answer:

Rise (y) over Run (x)

12-5

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3-1

7/2=m

Step-by-step explanation:

3 0
3 years ago
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Fatima wants you to show her some numbers other than pie that are real but not rational what would you show her?
EastWind [94]
REAL BUT NOT RATIONAL :
square root of 2
the golden ratio : 1.618033.....non terminating
square root of 99
8 0
3 years ago
Two boats leave a port at the same​ time, one going north and the other traveling south. The northbound boat travels 18 mph fast
shutvik [7]

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same​ time, one going north and the other traveling south.

<u>Southbound boat rate</u> = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time =980:98=10 hours

3 0
3 years ago
Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the
tekilochka [14]

Answer:

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.

6 0
2 years ago
Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!
adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0
3 years ago
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