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zmey [24]
3 years ago
11

15 points!

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)


Write the equation in slope-intercept form (y=mx+b)

y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5


A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

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(x^2+x-17)/(x-4) solve this
sergij07 [2.7K]

Answer:

\displaystyle x + 5 + \frac{3}{x - 4}

Step-by-step explanation:

Since the divisor of \displaystyle x - 4is in the form of \displaystyle x - c,we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 1 −17

↓ 4 20

_________

1 5 3 → \displaystyle x + 5 + \frac{3}{x - 4}

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, \displaystyle \frac{3}{x - 4},giving you the quotient of \displaystyle x + 5 + \frac{3}{x - 4}. However, in this case, since you have a remainder of 3, this gets set over the divisor.

I am joyous to assist you anytime.

8 0
3 years ago
A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in ye
alexdok [17]

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

age = 10 when height = 0

<em>Hence, the age of the car is 10 years</em>

4 0
3 years ago
The diameter of Melia's bike is 24 inches the circumference of the tire is about..
agasfer [191]

To find the circumference multiply the diameter by PI.


Using 3.14 for PI, the circumference = 3.14 x 24 = 75.36 inches. Round the answer as needed.

7 0
3 years ago
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mina [271]
After the new test, she now has taken 8 tests.
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7 0
4 years ago
27+15+3 describe how you used addition properties?
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I believe it is the communtive property
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