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Naya [18.7K]
3 years ago
10

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why o

r why not? What does that mean about the slope between points E and A and the slope between the points A and C?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

Slope(EA)=Slope(AC)=\dfrac{2}{3}....Equation is True

Slopes are EQUAL for

  1. SAME Line

Hence, E-A-C is the same Line.

Step-by-step explanation:

Given:

The three points for the given line are

point E( x₁ , y₁) ≡ ( -6 ,-4)

point A( x₂ , y₂) ≡ (0 , 0) .....Origin

point C(x₃ , y₃ ) ≡ (3 ,  2)

To Find:

Slope EA = ?

Slope AC = ?

Solution:

For Two point Slope is given as

Slope=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(EA)=\dfrac{0--4}{0--6}=\dfrac{4}{6}=\dfrac{2}{3}

Similarly For AC we have,

Slope(AC)=\dfrac{2-0}{3-0}=\dfrac{2}{3}

Therefore,

Slope(EA)=Slope(AC)....Equation is True

Slopes are EQUAL for

  1. Line is Parallel
  2. SAME Line

Hence, E-A-C is the same Line.

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This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o
Ne4ueva [31]

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

Area=\frac{(a+b)}{2} \times c

Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

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5 0
2 years ago
HELP!!!!! NO LINKS OR FAKE ANSWER OR I WILL REPORT YOU Thanks! The image is above¡ <br>​
Bess [88]

Answer:

Top left Equation:  \frac{2}{3} + (- 2 \frac{1}{3} ) = - 1 \frac{2}{3}

Step-by-step explanation:

You start at 2/3, or the left side.

Since the line is directing left, you are subtracting, or adding a negative.

If you see, you are moving 7 - 1/3s to the left

7 x 1/3 = 7 / 3

7 / 3 = 2 1/3

And 2/3 + (-2 1/3) = -1 2/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large
aksik [14]

Answer:

3 toppings for a total of $6.50

Step-by-step explanation:

Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...

F = 5.75 + 0.25x

B = 2.75 + 1.25x

Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...

5.75 + 0.25x = 2.75 + 1.25x  ... subtract 2.75 and 0.25x on both sides

3 = 1x ... divide both sides by 1

3 = x

Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50

7 0
3 years ago
What is the value of p?
Anika [276]
The answer would be A. 50 check the pdf for work.

8 0
3 years ago
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Select the correct answer. Which expression represents the series ? 1+5+25+125+625? creating and solving formulas for geometric
Art [367]

Answer:

The given series can be written as

4

∑  (5)^i

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We know that the series  is

1+5+25+125+625

This is equal to

(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4

Thus,

For i from 0 to 4,

We get the general representation.

3 0
3 years ago
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