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charle [14.2K]
3 years ago
13

Solve the system of equations algebraically. Verify your answer using the graph.

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
Both of those equations are solved for y.  So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one.  We set them equal to each other and solve for x.  4x-5=-3 and 4x = 2.  That means that x = 1/2.  We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.
KonstantinChe [14]3 years ago
5 0
Hello!

Since we already know the value of y we need to find x. We can plug in the y-value of -3 in the first equation and solve for x. 

-3=4x-5
2=4x
x=1/2

This gives us the ordered pair (1/2,-3), so our answer is B. (1/2, -3).
.
I hope this helps!

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Just give me answer
atroni [7]

By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).

<h3>How to find the image of a triangle</h3>

A dilation is a type of <em>rigid</em> transformation. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distances are conserved.

There is a triangle and its image must be a triangle, the <em>new</em> triangle is found by transforming the three vertices of the prior one following this formula:

A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)]     (1)

Where:

  • P(x, y) - Center of reflection.
  • A(x, y) - Original vertex
  • A'(x, y) - New vertex
  • k - Dilation factor

If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:

Point A

A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]

A'(x, y) = (-12, 0)

Point B

B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]

B'(x, y) = (0, -9)

Point C

C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]

C'(x, y) = (-12, -9)

Lastly, we draw the two triangles, which are presented in the image attached below.

To learn more on dilations: brainly.com/question/13176891

#SPJ1

6 0
2 years ago
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finlep [7]

Answer:

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Step-by-step explanation:

I divided 164 by 80 and got 2.05

Then I multiplied 2.04 by 41.......I might be wrong... But hopefully I'm not..

8 0
3 years ago
A test consists of 10 true/false questions. To pass the test a student must answer at least 88 questions correctly. If a student
Zanzabum

Answer:

The probability that the student is going to pass the test is 0.0545

Step-by-step explanation:

The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

P(x)=\frac{n!}{x!(n-x)!} *p^{x} *(1-p)^{n-x}

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2

Then, if the student pass the test with at least 8 questions correct, the probability P of that is:

P = P(8) + P(9) + P(10)

P=(\frac{10!}{8!(10-8)!}*0.5^{8}*(0.5)^{10-8})+(\frac{10!}{9!(10-9)!} *0.5^{9} *(0.5)^{10-9})+(\frac{10!}{10!(10-10)!} *0.5^{10} *(0.5)^{10-10})

P = 0.0439 + 0.0097 + 0.0009

P = 0.0545

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Answer:

Are you in middle school ( specifically 6th grade) bc i think i had that like a week ago lol...

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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