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3 years ago

14

CORRECT??

2 answers:

Rudik [331]3 years ago

8 0

Answer:

yes thats correct

Step-by-step explanation:

a

lutik1710 [3]3 years ago

3 0

Yes your answer is right

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Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

$\sf \longrightarrow y - y_1 = m(x - x_1)$

Now on substituting the respective values we have,

$\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\$

$\sf \longrightarrow 2(y-1 )= x -8 \\$

$\sf \longrightarrow 2y -2=x-8\\$

$\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}$

5 0

3 years ago

Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, round

Ann [662]

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area = 2al.

Given the following:

a = 11 cm
l = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area = 2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

brainly.com/question/3688277

3 0

2 years ago

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Use a calculator to find the standard deviation of this data set: 8, 14, 12, 9, 16

muminat

Answer : 23.6

<h3>Hope this help ;)</h3>

6 0

3 years ago

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Belinda uses drink mix to make a 2 quart pitcher of lemonade. She has a can of drink mix that makes 3 gallons. How many pitchers

IRINA_888 [86]

1 gal = 4 quarts

3 gal = 4 * 3 = 12 quarts

12 / 2 = 6 pitchers

7 0

3 years ago

A study was performed with a random sample of 5 people from a certain city. What population would be appropriate for generalizin

Schach [20]

Answer:

The conclusions apply only to the sample.

Step-by-step explanation:

Since the sample size is small, it's not likely to be representative of any larger population.

I hope this helps!

7 0

3 years ago

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