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raketka [301]
3 years ago
5

Line segment XY has endpoints X(–10, –1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segm

ent in a 5:3 ratio, the formula y = (A/A+B) (y2 – y1) + y1 was used to find that y = (5/5+3) (15 – (–1)) + (–1).
Therefore, the y-coordinate of the point that divides XY into a 5:3 ratio is?

Mathematics
2 answers:
Over [174]3 years ago
8 0

Answer:

The y co-ordinate is 9

Step-by-step explanation:

We simplify the expression given by the formula;

\frac{5}{8}*16-1=9

alexira [117]3 years ago
8 0

Answer:

The y-coordinate is 9.

Step-by-step explanation:

The given line segment has endpoints X(-10,-1) and Y(5,15).

The formula for finding the y-coordinate of the point that divides the directed line segment in the ratio a:b is

y=(\frac{a}{a+b} )(y_2-y_1)+y_1.

The given ratio is 5:3.

We plug in the values to get

y=(\frac{5}{5+3})(15-(-1))+(-1)

We simplify to get;

y=(\frac{5}{8})(16)+(-1)

y=10-1

y=9.

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crimeas [40]
Profit = paid - supplies

Plug in the given values. We are finding out how much money he needs per room, if he is doing 4 rooms, and subtracting the supplies: 300 = 4n - 4*32.50

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Add 130 to each side. 430 = 4n

Divide by 4 on each side: 107.50= n

300 = 4(107.50) - 130? True

This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.

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3 years ago
Miss Taylor graded 50 English research papers. Twelve of them received a grade of A. Miss Taylor drew a circle graph to display
nikdorinn [45]
<h3>Answer:</h3>

\large\boxed{24\%}

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to find how much percentage the circle graph is for "A" papers.

To solve this question, we would need to use information from the question.

Important information:

  • Graded 50 English research papers
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With the information above, we can solve the question.

We know that there are 12 research papers that received an A and there are 50 research papers in total.

We would divide 12 by 50 in order to find the percentage of the papers that got an A.

12\div50=24

When you divide, you should get 24.

This means that 24% of the circle graph is devoted to "A" papers.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
3 0
3 years ago
Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the neares
olya-2409 [2.1K]

Answer:

314.16

Step-by-step explanation:

Area=πr2

d=2r

Solving for Area

A=1

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7 0
2 years ago
One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a represent
ivann1987 [24]
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7 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x &gt; 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

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Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
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