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Aleksandr-060686 [28]
3 years ago
11

Point J(-2, 1) and point K(4, 5) form the line segment jk. for the point p that partitions jk in the ratio 3:7 what is the y coo

rdinate of p
Mathematics
1 answer:
kumpel [21]3 years ago
7 0

Answer:

\frac{11}{5}

Step-by-step explanation:

Using the section formula

y_{P} = \frac{3(5)+7(1)}{3+7} = \frac{15+7}{10} = \frac{22}{10} = \frac{11}{5}

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Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
the table shows the balance of a money market account over time. write a function that represents the balancr y (in dollars) aft
Solnce55 [7]

Answer:

y = 1500 * 1.09^t

Step-by-step explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t

6 0
2 years ago
If f(x) = 2x – 1 and g(x) = ^ – 2, find [g ◦ f](x).
Viefleur [7K]

Answer:

<em>    The value of [g ◦ f](x) = 4x^{2} -4x-1</em>

Step-by-step explanation:

    If f(x) = 2x - 1

    g(x)  = x^{2} -2

    we need to find the value of [g ◦ f](x).

    which means that g(f(x))

    g(f(x)) = (2x-1)^{2} -2

    g(f(x)) = 4x^{2} -4x+1 -2

    g(f(x)) = 4x^{2} -4x-1

<em>     The value of [g ◦ f](x) = 4x^{2} -4x-1</em>

6 0
3 years ago
Use the data to make a frequency table
UNO [17]

Answer:

AAAAAAAA

Step-by-step explanation:

AAAAAAAAA

7 0
3 years ago
Dakota is selling his trading cards. He will sell the first 5 cards for 3 and each card after that $1
qaws [65]

Answer:

27

Step-by-step explanation:

27

5 0
2 years ago
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