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sasho [114]
3 years ago
15

Complete this table showing the number of shaded triangles in each step and area of each triangle!

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

From the table attached we find,

Number of shaded triangles = 1

Area of each shaded triangle = 256 square inches

Now we can complete the table following the same pattern,

Step number     Number of shaded triangles   Area of the shaded triangles

        0                                   1                                                   256

        1                                    3                                  256 × 3 = 768

        2                                   5                                256 × 5 = 1280

        3                                   7                                  256 × 7 = 1792

             

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3 years ago
Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.
Ierofanga [76]

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

7 0
2 years ago
David is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 2
ehidna [41]

Answer:

G = -D/20 + 14

Graph in the image attached.

Step-by-step explanation:

Using the model of a linear equation, we have:

G = aD + b

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.

So if David starts the trip with 14 gallons of gas, we have b = 14.

'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.

So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]

So our equation is:

G = -D/20 + 14

The graph of this equation is in the image attached.

4 0
3 years ago
The area of triangle ABC is 31 1/4 square centimeters. What is the measure of side b?
zhuklara [117]

Answer:

5/ sqrt2

Step-by-step explanation:

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3 0
3 years ago
I’m Stukk I believe it’s 28 or 7 but I’m not sure helppp
qwelly [4]

Answer:

the answer would be 28.

Step-by-step explanation:

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Hope this helps

-Kayla


7 0
3 years ago
Read 2 more answers
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