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Grace [21]
3 years ago
13

How many solutions does the system have?

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

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Write an expression in expanded form and an expression in factored form for the diagram.
olga2289 [7]

Step-by-step explanation:

You put them together to form a bigger number then break it down. sorry if it doesn't make sense.

Btw do you form the number if so I'll help just give the number and I'll break it down for you. :)

6 0
3 years ago
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Elena bought a backpacking tent to take with her on hiking trips.
Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

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Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

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3 0
3 years ago
Question 21 is probably the hardest question on this homework
Snezhnost [94]
-15+5x= 20

5x= 35
x= 7

20= -15+5x

35= 5x

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7 0
3 years ago
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Find the equation of the line passing through the given points. Express the equation in standard form.
Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

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m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

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The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

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(3.5,10.5) this is where they meet
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