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Svetllana [295]
3 years ago
5

Points A, B, and C form a triangle. Points A and B are shown on the coordinate plane below. Point C is a reflection of

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

The answer is given below

Step-by-step explanation:

Given that:

Point A = (-4,3) and point B = (2,3)

Since Point C is a reflection of  point B across the x-axis, point C has the same x coordinate as point B but the value of the y coordinate is the opposite sign. Therefore the coordinate of point C is (2,-3). The distance between AB is given as:

AB=\sqrt{(3-3)^2+(2-(-4))^2}=\sqrt{6^2}=6\ units\\BC=\sqrt{(-3-3)^2+(2-2)^2}=\sqrt{6^2}=6\ units\\

The height of the triangle is BC and the base is AB. The area of triangle ABC is given as:

Area = 1/2 × base × height = 1/2 × 6 × 6 = 18 unit²

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What is the equation of the following line? Be sure to scroll down first to see
topjm [15]

Answer: (f)

Step-by-step explanation:

Given

Line that passes through (-\frac{1}{2},3) and (0,0)

Using two point form, equation of a line is given by

\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}

Insert the values

\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x

Thus, option (f) is correct

8 0
2 years ago
A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.
Vera_Pavlovna [14]
<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

V=\frac{1}{6}s^3

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

V = \frac{1}{3} a^2h

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

h = \frac{1}{2} \times s\\\\h = \frac{s}{2}

<em><u>Thus the volume of pyramid becomes:</u></em>

V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}

\boxed{V=\frac{1}{6}s^3}

Thus the  formula  represents the volume of the pyramid is \frac{s^3}{6}

5 0
3 years ago
A fruit punch juice mix flavor is made using 30% cherry flavoring and 70% blueberry flavoring, if Jim wants to make fruit punch
mojhsa [17]
14 containers of blueberries


I HOPE THIS HELPS!!

4 0
3 years ago
Read 2 more answers
Given the point (3,4) the slope of 6, find y, when x=27
vitfil [10]

Answer:

y = 148

Step-by-step explanation:

First, we use the point-slope form of the equation of a line to find the equation of this line.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

Now we let x = 27 and find y.

y = 6(27) - 14

y = 162 - 14

y = 148

6 0
3 years ago
What is 4(3+x) and how do I solve it
anastassius [24]

Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

(Distribute)

(4x3) (4 x X)

4x3 = 12, 4 x x = 4x

So the answer would be 12 +4x

Hope this helps :)

3 0
3 years ago
Read 2 more answers
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