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3 years ago

The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the

Mathematics

1 answer:

Alex Ar [27]3 years ago

7 0

Answer:

(8,1)

Step-by-step explanation:

(8,1) you have to add do to the same to B

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

The area of Mark's laptop computer

navik [9.2K]

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

7 0

3 years ago

PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!

Gelneren [198K]

Answer:

4.2

Step-by-step explanation:

closest to what I counted 3

8 0

3 years ago

X-5+x-11=100 what is the reason for this statement for geometry?

Mariulka [41]

Answer:

because when the value of x is replaced in the factorisation it Will be equivalent to 100

3 0

3 years ago

A linear function is graphed below.

Evgen [1.6K]

Answer:

$-1\frac{1}{2}$

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

$\frac{y^2-y^1}{x^2-x^1}}$

To understand what the variables are, you can take this :

$(x^1,y^1)$

$(x^2,y^2)$

Substitute the points :

$(-1,4)$

$(5,-5)$

Now substitute it into the formula :

$\frac{-5-4}{5-(-1)}$

$\frac{-3}{2}$

$-1\frac{1}{2}$

4 0

3 years ago

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