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3 years ago

I need someone to explain this to me. I don’t understand it at all. :(

Mathematics

1 answer:

UkoKoshka [18]3 years ago

3 0

I don’t understand this either ask the teacher

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Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Jobisdone [24]

ANSWER

B. (5.75, 0)

EXPLANATION

If the point P(x,y) partitioned

$A(x_1,y_1)$

and

$B(x_2,y_2)$

in the ratio m:n, then

$x = \frac{mx_2+nx_1}{m + n}$

$y=\frac{my_2+ny_1}{m + n}$

If the coordinates are A(−4,12) and B(9,−4), then:

$x = \frac{6 \times 9+2 \times - 4}{6 + 2}$

$x = \frac{54 - 8}{8}$

$x = \frac{46}{8}$

$x = 5.75$

$y= \frac{6 \times - 4+2 \times 12}{6 + 2}$

$y = \frac{24 - 24}{8}$

$y = \frac{0}{24} = 0$

The correct choice is

$B. (5.75, 0)$

3 0

3 years ago

The sales tax on the purchase of a refrigerator that costs $850 is 7 percent. What is the amount of sales tax?

inna [77]

Multiply $850 by .07 to get $59.50

3 0

3 years ago

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A new shirt cost $14.99 if the shirt is on sale for 1/5 of its price, about how much would you save? Show work

d1i1m1o1n [39]

You would save £3
15/5=3

4 0

3 years ago

What is the value of x?

pantera1 [17]

x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9

7 0

3 years ago

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Which of the following graphs is described by the function given below? y = x2 - 6x-7

Zanzabum

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle y = x^2 - 6x - 7$

And we want to determine its graph.

One of the most important features of a quadratic is its vertex. So, we can start by finding the vertex using the formulas:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, a = 1, b = -6, and c = -7.

Find the x-coordinate of the vertex:

$\displaystyle x = -\frac{(-6)}{2(1)} = 3$

Substitute this back into the equation to find the y-coordinate:

$\displaystyle y(3) = -16$

Therefore, our vertex is at (3, -16).

The only graph whose quadratic's vertex is at (3, -16) is Graph A. Thus, our answer is A.

5 0

3 years ago