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Ksenya-84 [330]
1 year ago
13

Question 1 Graph the line passing through (-2, 4) whose slope is m =—1/4

Mathematics
1 answer:
Elden [556K]1 year ago
3 0

Answer:

Step-by-step explanation:

these seem complicated,  but just think about what they are asking.  they are giving you a point and a slope to a line.  

That gives you the hint to use the "point-slope"  formula

if you don't have it memorized you might as well start trying to now.  You'll need this over and over and over...

y-y1=m(x-x1)

so plug in the given info

y-4= (-1/4)(x-(-2))

y-4 = -1/4 (x +2)

y-4 = (-1/4)x  -1/2

y = (-1/4)x + 7/2   this is the slope intercept formula. y = mx +b

we can now graph this line with the slope intercept formula.

note the graph does pass through (-2,4)  and has a  -1/4 slope   :)

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Which inequality represents all values of x for which the product below is defined?
Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

\displaystyle\sqrt{4x} * \sqrt{x+2}

↓

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

Step 2 ) Simplify the square root of 4.

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Step 3 ) Simplify.

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x(x+2)}

This is now in its simplest form, so the final answer is...

\displaystyle\ 2 \sqrt{x(x+2)}

or it could be...

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Either one is correct. Only difference is one is in simplest form and one isn't.

•

•

- Marlon Nunez

7 0
3 years ago
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Guys help with 16 abc<br> A lot of points please hellllp
luda_lava [24]
A.
well, to find the perimeter of a rectangle, it is 2(length+width)
using this, the perimeter of the tennis court is 2(2x+6+x)=2(3x+6)=6x+12
the perimeter of the basketball court is 2(3x-14+1/2x+32)=2(2 1/2x+18)= 5x+36
B. 
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C.
width is 2x+6
2x+6=36
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tennis: 15 by 36
basketball: 3*15-14= 31
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4 0
4 years ago
What is the equation of the horizontal line through (-7,-3)?​
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m=y2-y1

m=(-7,-3)

m=-10

y-y1=m(x-y2)

y-(-7)=10(x-(-3)

y+7=10x+30

y=10x+30-7

y=10x+37

respuesta y=10x+37

8 0
3 years ago
4 - 1 1/4<br><br> A. 3 1/4<br> B. 3 3/4<br> C. 2 3/4<br> D. 2 1/4
AleksAgata [21]
The answer to this question is c. 2 3/4
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3 years ago
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Factor the expression.<br> 9y^2– 36
Nata [24]

Answer:

Answer: 9 (y - 2) (y + 2)

Step-by-step explanation:

Factor the following:

9 y^2 - 36

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y^2 - 4 = y^2 - 2^2:

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Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):

Answer: 9 (y - 2) (y + 2)

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