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4 years ago

Determine which ordered pairs are solutions to the equation 3x+7y=21

Mathematics

1 answer:

mafiozo [28]4 years ago

7 0

Answer:

(0,3) and (7,0) are solutions.

Step-by-step explanation:

In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.

For (0,3)

3(0) + 7(3) = 21

0 + 21 = 21

For (7,0)

3(7) + 7(0) = 21

21 + 0 = 21

To double check that (1,2) isn't a solution:

3(1) + 7(2) = 21

3 + 14 = 21

17 = 21 X

This doesn't work.

Marking as Brainliest is much appreciated.

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

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3 years ago

A line is represented by y * (312)x + 2. A perpendicular line goes through (6,-1). What would be the slope intercept form for th

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Answer:

Step-by-step explanation:

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3 years ago

1200/180 = (can someone please help me I'm desperate)

ASHA 777 [7]

Using a calculator, 1200/180 = 6.67 approximately

If you use long division, then you'll get what you see in the diagram below

The 6's go on forever after the decimal point, but if you round to two decimal places, then you'll get that approximate value of 6.67

---------------

If you want a remainder, then 1200/180 = 6 remainder 120

You can think of it like you having 1200 cookies and 180 friends. Each friend will get 6 whole cookies and there will be 120 left over as the remainder.

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4 years ago

If a = -4, b = 2, C = 3, and d = -5, then what is the value of (a - b)2 + (c- d)2

leva [86]

Answer:

100

Step-by-step explanation:

Put the values where the corresponding variables are, then do the arithmetic.

(-4 -2)^2 +(3 -(-5))^2

= (-6)^2 +(8)^2

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4 years ago

Read 2 more answers

Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12% . What is the total price Michael pays fo

expeople1 [14]

Answer:

4.48

Step-by-step explanation:

4.00 + 12%(.48)= 4.48

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4 years ago