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3 years ago

What ordered pair is a solution of this equation 3x-7y=28 help

1 answer:

5 0

put it in slope intercet form then take the number before the x and the number after the x and put them into an ordered pair.

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Write a linear equation that passes through the points(2,-2) and (0,1)

Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1

So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0

2 years ago

Read 2 more answers

Find the volume of the triangular prism in the picture shown. Round your answer to the

Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = $9\dfrac{2}{3}$ yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

$V=Bh$ ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}$

$B=2\times \dfrac{29}{3}$

$B=\dfrac{58}{3}$

Putting $B=\dfrac{58}{3}$ and h=4 in (i), we get

$V=\dfrac{58}{3}\times 4$

$V=\dfrac{232}{3}$

$V=77.33...$

$V\approx 77.3$

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0

2 years ago

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .

Svetllana [295]

The correct answer for this question is this one:

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .

What is AC ?

3 cm
6 cm
9 cm
12 cm

If you try to draw the triangle, it forms an isosceles triangle.
side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Hope this helps answer your question and have a nice day ahead.

6 0

2 years ago

Read 2 more answers

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Neko [114]

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

3 0

3 years ago

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Nicole used 24 pieces of fruit if 1/6 of them were peaches how many peaches in all did Janeen and Nicole use to make their fruit

timama [110]

4 because you have 6 equal groups . 6 x ? = 24 answer 4

4 0

3 years ago

Read 2 more answers