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Tems11 [23]
3 years ago
10

Find a single expression that represents the distance from Adam's house to the corner if the distance between Adam's house and J

im's house is represented by the expression "23x − 2."

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
Jim's house to the corner is A. Adam's house to the corner is B. Adam's to Jim's is C.

(AxA)+(BxB)=(CxC). 

(15x-7)(15x-7) = 225x^2-210x+49 = (AxA)
(23x-2)(23x-2) = 529x^2-92x+4 = (CxC)

(CxC)-(AxA) = (BxB)

529x^2-92x+4-225x^2-210+49 = 304x^2-118x-45

so (BxB) = 304x^2-118x-45
now we would factor that expression but this one isn't factorable.

so your final answer for the distance from Adam's house to the corner is the square root of 304x^2-118x-45. 


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Give two points with integer coordinates that have a slope of 10/7 between them
Fittoniya [83]

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

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we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

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3 years ago
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nekit [7.7K]
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Then simplify:

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Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

6 0
3 years ago
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