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cestrela7 [59]
2 years ago
11

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second tri

angle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.
Mathematics
1 answer:
valina [46]2 years ago
3 0

Yes julia is correct the run of the scond similar triangle will be b2=25.

<h3>What are simlilar traingles?</h3>

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}

\dfrac{3}{10}=\dfrac{7.5}{b_2}

b_2=\dfrac{7.5\times 10}{3}

b_2=25

Thus julia is correct the run of the scond similar triangle will be b2=25.

To know more about similar triangle follow

brainly.com/question/2644832

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mamaluj [8]

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2nd option

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Given 2 sides of a triangle then the third side x is in the range

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A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th
STatiana [176]

Answer:

The equation for the curve is:

f(x) = 7*e^{2*x}

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

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From the shape of the equation, we can assume than this is an exponential equation like:

f(x) = A*e^{k*x}

Replacing that in the second equation, we get:

k*A*e^{k*x} = 2*A*e^{k*x}

From that equation, we can conclude that k = 2

Then:

f(x) = A*e^{2*x}

Now we can use the first equation:

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With this, we can find the value of A.

f(0) = 7 =  A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A

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3 years ago
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