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Ierofanga [76]
2 years ago
10

B.HELPPPP MEEEE PLSSSS AND THANK YOUU

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0

Answer:

A. (3, 8) and 2\sqrt{2}

B. (2, 4) and 2\sqrt{10}

Step-by-step explanation:

Midpoint formula: (\frac{x1+x2}{2} ,\frac{y1+y2}{2})

Distance formula: \sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

(\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)

Length:

\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}

B.

(5, 5) and (-1, 3)

Midpoint:

(\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)

Length:

\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}

Can you consider marking my answers as brainliest lol it would mean a lot. Hope this helped.

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Answer:

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Step-by-step explanation:

Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.

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Answer:

6(8x-3)x(3x²-7)

Step-by-step explanation:

144x³-54x²-336x+126

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Felicity baby sat 2 hours each night for 10​ nights. She earned a total of $180 babysitting. Felicity wants to calculate her hou
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Answer:

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Step-by-step explanation:

7 0
3 years ago
pam read 126 pages of her summer reading book in 3 hours. Zack read 180 pages of his summer reading book in 4 hours. If they con
zhuklara [117]
Well, you will need to find out how much each person reads per hour. To find that out, you will need to divide 126 by 3, resulting in 41 pages an hour. If you do the same thing with Zack, you will be able to find out that he reads 45 pages an hour. Now, you will need to multiply the number of pages per hour by 5! if you multiply 41 by 5, you get 205 pages. If you multiply 45 by 5, you get 225 pages. Pam isnt able to read more than 215 pages in 5 hours, but Zack is able to.
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Read 2 more answers
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
2 years ago
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