He coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–3 5
0 4
Line 2
x y
0 4
6 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

Answer 1

Answer: $\hbox{Line 1:}\nm=(5-4)/(-3-0)\nm=(1)/(-3)\nm=-(1)/(3)\n\n\hbox{Line 2:}\nm=(4-2)/(0-6)\nm=(2)/(-6)\nm=-(1)/(3)$

Both lines have the same slope, which means they are parallel. They also pass through the same point $(0,4)$ . This means they're overlapping so there is infinitely many solutions.

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If a slope of a line is 2/0 is it 0 or undefined?

Answers

It's undefined. When you have a slope as a fraction, it's "rise over run". The line rises two but runs zero, so it's a vertical line. If it were 0/2, that would be a horizontal line, aka 0 slope

Answer: Undefined

It is impossible to divide by zero, so it is undefined.

Choose the less precise measurement and explain why it is less precise. 2.8 mm or 3.79 mm

Answers

2.8 MM because it is probably an estimate because nothing is perfect if you zoom in close enough!

A 1400 sq ft house is advertised for sale at a price of $125,000. What is the cost per square foot?

Answers

The answer is $89.28.

Let's use the proportion for this:
If 1400 ft² costs $125,000, 1 ft² will cost x:
1400 ft² : $125,000 = 1 ft² : x

Now, crossing the products:
x · 1400 ft² = $125,000 · 1 ft²
x · 1400 = $125,000
x = $125,000 ÷ 1400
x = $89.28

Therefore, 1 square foot costs $89.28.

If you would like to know the cost per square foot, you can calculate this using the following steps:

1400 sq ft house ... $125,000
1 sq ft ... $x = ?

1400 * x = 125,000 * 1
1400 * x = 125,000
x = 125,000 / 1400
x = $89.29

The correct result would be $89.29.

Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?

Answers

Eliza deposit $540.95 between January 18 and January 29.... I added the checkbook balance of $324.18 with the amount of the 3 checks that were still outstanding in her account ..Hope that helps..

sin 48,59 = 0,75, maka cos 138,59 =

Answers

$cos (138.49)=cos(90-(-48.59))=-sin(48.59)=-0.75$

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