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2 years ago

If a system of equations has infinite solutions, what do you know about the graph?

Mathematics

1 answer:

Anton [14]2 years ago

3 0

Answer:

Step-by-step explanation:

A: Perpendicular lines have 1 solution. A is not the answer.

B: If the lines intersect, there is one solution, not many.

C: The lines are the same or can be reduced to being the same. C is the answer.

D: The lines don't intersect means that the lines are parallel. There isn't a solution.

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PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

2 years ago

4. The ratio of skateboards to bikes is 3:1.

vredina [299]

Answer:

Step-by-step explanation:

3 represents skateboards and 1 represents bikes. We need to get from 3 to 12 and 1 to the answer by using the same number you used to get from 3 to 12.

To get from 3 to 12 you multiply by 4

3*4=12

So let's go ahead and multiply 1 by 4 as well

1*4=4

Your ratio is now 12:4 and 4 stands for bikes so there are 4 bikes

8 0

2 years ago

Read 2 more answers

The volume of this sphere is 972x cubic inches. What is its radius?

agasfer [191]

Answer: 9

Step-by-step explanation:

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2 years ago

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in peter's garden, 3/4 of the flowers are tulips. of the tulips, 2/3 are yellow. what fraction of the flowers in peter's garden

bekas [8.4K]

Half of the flowers are yellow tulips.

3 of the 4 columns are marked T for tulips.

Of those 3, 2 of them are yellow.

This shows us that 6 of the 12 boxes, 1/2, are yellow tulips.

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2 years ago

A proportion is an equation showing the equivalence of two ratios or rates true or false

Lynna [10]

The answer is true- A proportion is an equation showing equivalent of two ratios or rates

3 0

2 years ago