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Talja [164]
1 year ago
14

I really need help with this question. I have attached two screenshots, the first is the question and the second one is the opti

ons that I have as the answer. I would really appreciate an answer!!!

Mathematics
1 answer:
Sliva [168]1 year ago
5 0

Using proportions, it is found that the coordinates of point B are given as follows:

A. (1.6, 0).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point B is 3/4 of the way from AB to AC, hence:

B - A = \frac{3}{4}(C - A)

The points are:

  • A(-2,-3).
  • B(x,y).
  • C(3,1).


Then, to find the x-coordinate:

x + 2 = \frac{3}{4}(3 + 2)

x + 2 = 3.6.

x = 1.6.

For the y-coordinate:

y + 3 = \frac{3}{4}(1 + 3)

y + 3 = 3

y = 0.

Hence option A is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Answer:

Part A:

( 1.8333, -0.08333)

Part B:

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Step-by-step explanation:

The quadratic equation

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Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

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Setting the derivative to 0;

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x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

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The vertex is thus located at the point;

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We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

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From the quadratic equation given;

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We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

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Step-by-step explanation:

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