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Likurg_2 [28]
3 years ago
7

If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form

Mathematics
1 answer:
arlik [135]3 years ago
4 0
Slope of  2y = x + 5:-
This is y = 0.5 x + 2.5  in slope intercept form so its slope = 0.5

Slope of the line perpendicular to it = -1 / 0.5 = -2

it passes through (2 , 1) so we have

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

The answer is y = -2x + 5

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mihalych1998 [28]

do you some help ?, I can try my best to help

6 0
3 years ago
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Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cub
leonid [27]

The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.

Volume of a square based pyramid is given as :

V = a^2h/3

Where; h = height ; a = base edge

Hence, Volume of PYRAMID A :

V = 14^2 * (6/3)\\\\V = 392 in^3

Volume of PYRAMID B = 3,136 in³

Divide Volume of pyramid B by pyramid A :

3136 in^3 / 392 in^3

= 8 times

Expressing as a percentage, multiply by 100% ;

8 * 100% = 800%

Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.

Learn more :

brainly.com/question/17615619

8 0
3 years ago
Read 2 more answers
In a survey of 400 seniors, x percent said that they plan on majoring in physics. One university has used this data to estimate
azamat

Answer:

2 percent

Step-by-step explanation:

We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

\frac{400x}{66} = \frac{400}{3600}

Now cross multiply.

\frac{66*400}{400x * 3600}

x will be removed.

\frac{26400}{1320000}

Simplifying this fraction will get you \frac{1}{50}, which in percentage form, will be 2 percent.

8 0
2 years ago
A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

8 0
3 years ago
Can you help me please?
9966 [12]
First, change the two mixed numbers in the expression into an improper fraction: 25/6 + 5/3.
Then, find the Lowest Common Denominator of both fractions, which is 6, and set both denominators equal to that.  Remember, whatever you do on one side you must do to the other: 25/6 + 10/6
Add the two together: 25/6 +10/6 = 35/6.
To make it a mixed number again, find how many times 6 goes into 35, which is 5 times, with a remainder of 5.  Your answer is 5 5/6
6 0
3 years ago
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