Divided x²-21 by x-7

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

X^2-21 divided by x-7 equals x+3

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Given ΔABC with A(–4, –2), B(4, 4), and C(18, –8), write the equation for the line containing median segment The term is line se

Monica [59]

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

$\displaystyle{ P=( \frac{-4+4}{2} , \frac{-2+4}{2} )=(0, 1)$ .

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

$\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{-8-1}{18-0}= \frac{-9}{18}= \frac{-1}{2}$ .

Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

$y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1$ .

Answer: $y=-\frac{1}{2}x+1$

5 0

4 years ago

Find the slope for (3,4) and (3,-4)

saveliy_v [14]

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 , 4)

-(3 , -4)

------------

0 8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run. Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

7 0

3 years ago

CAN SOMEONE HELP ME WITH THIS???????????

yanalaym [24]

Answer:

See Step by step explanation

Step-by-step explanation:

$(g+f)(x) = g(x) + f(x) = 7x-1\\(g'f)(x) = g(x)f(x) = (3x-1)(4x) = 12x^{2}-4x\\(g-f)(-2) = -(-2)-1 = 1$