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3 years ago

Find the midpoint of the segment with endpoints of -2,-2 and 4,6

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Answer:

( 8 , 3 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Midpoint formula is a mathematically equation used to measure the halfway point between two data points.

Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two. For example, suppose you want to find the midpoint between the numbers 2 and 32. First, add the two numbers: 2 + 32 = 34.

I think don't get mad if its wrong :)

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Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour fast

never [62]

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20

Then average speed from his parents' x

And the distance is S=96

Then we know :

$\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing$

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

4 0

3 years ago

Is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7

AlekseyPX

Answer:

<u><em>(x+5) is not a factor of f(x)</em></u>

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

8 0

2 years ago

Read 2 more answers

If f(x)= (x^m+9)^2 what would be true about the statement?

Troyanec [42]

Answer:

f(x) is an even function for all even values of m.

Step-by-step explanation:

I believe the correct answer from the choices listed above is option. The reason of that is because no matter what m is, assuming it is an integer 2m will always be an even number. Hope this answers the question.

plz mark me as brainliest :)

8 0

4 years ago

PLS HELP I'LL MATK BRAINLIEST

Kaylis [27]

Answer:

Step-by-step explanation:

Question 1:

First, write the equation out:

4(x+3)=7x-3

solve for x:

4x+12=7x-3

15=3x

x=5

Question 2:

Do the same on the second question:

30-x=3x-6

36=4x

x=9

4 0

3 years ago

A linear function has the same y-intercept as x + 4y = 12 and its graph contains the point (9,5). Find the slope of the linear f

ziro4ka [17]

The answer is A: a slope of 2/9

First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:

x + 4y = 12

x + 4y - x = 12 - x

4y = 12 - x

4y / 4 = 12/4 - x

y = 3 - x

Change so that the slope is before the intercept:

y = -x + 3

Now we know that the y-intercept is 3.

Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:

5 - 3/9 - 0 = 2/9

So, the slope is 2/9!

6 0

3 years ago