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postnew [5]
3 years ago
15

the area of a rectangle with the width x-5 and the length x-12 is 44 square feet. what are the dimensions

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer: 23

Step-by-step explanation:

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Through: (-3,-5), parallel to y = 2x + 2​
Archy [21]

Answer:

y = 2x + 1

Step-by-step explanation:

Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):

y = mx + b

y = 2x + 2

(-3, -5)

-5 = 2(-3) + b

-5 = -6 + b

-5 + 6 = b

b = 1

Now you have your final equation:

y = 2x + 1

*Remember that parallel lines have the same slope, so finding a new slope is not needed!

4 0
2 years ago
3. Given this quadratic equation, 2x2 - x - 28 = 0,
JulijaS [17]

Answer:

a) (2x+7)(x-4)

b) x = -7/2 and x = 4

Step-by-step explanation:

a) (2x  ?)(x  ?)

set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28  → (1·28, 2·14, 4·7)

after trial-and-error, found that 4 and 7 worked (used un-FOIL)

b) 2x + 7 = 0

2x = -7

x = -7/2

*********

x-4 = 0

x = 4

4 0
2 years ago
How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work
kolezko [41]
100 times longer because the sand grand is a very tiny particle
7 0
3 years ago
What is the slope of the line through (-2,3) and (1,1)?
son4ous [18]
The slope of the line is -2/3.

This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.

Here is a graph of the full equation of the line.

I hope this helps!

6 0
3 years ago
What is the explicit equation for this series 25,21,17,13
Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

a_n=a_1+d(n-1)

The given sequence is 25,21,17,13

a_1=25

d=21-25

d=-4

We plug in the values into the formula to get;

a_n=25+-4(n-1)

a_n=25-4n+4

a_n=29-4n

6 0
3 years ago
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