All categories

3 years ago

Give B is the midpoint of AC, what is AC?

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

$\fbox{27}$

Step-by-step explanation:

$4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6$

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

$4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}$

You might be interested in

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

<em>First case</em>

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

<em>Second case</em>

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0

3 years ago

Neil's Ice Creamery sold 50 sundaes last week. There were nuts on 22 of the sundaes. What is the ratio of the number of sundaes

Mkey [24]

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14

What is ratio?

Ratio is a quantitative relationship between two values indicating the number of times one value contains within the other value

In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts

There are 22 sundaes with nuts

number of sundaes without nuts=50-22

number of sundaes without nuts=28

sundaes with nuts/sundaes without nuts=22/28

2 is common to both numbers

sundaes with nuts/sundaes without nuts=11/14

Find out more about ratio on:brainly.com/question/2328454

#SPJ1

3 0

1 year ago

A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used. The function b(x) = { 0.150

Tresset [83]

Answer:

Step-by-step explanation:

the photosynthesis the of 14 showed me by diameting the equation of the perpendicularcity of the dude with lactose intolerantcey

7 0

3 years ago

The airplane in the scale drawing has a wingspan of a feet and a tail span of b feet. If the tailspin in the drawing is 2 inches

xeze [42]

Correct answer is: actual wingspan of airplane is 6 inches.

Solution:-

We are given that wingspan is 'a' feet and tail span is 'b' feet in a scale drawing.

And we are also given that tail span is 2 inches that is b=2 inches and $\frac{a}{b}=3$

Let us plugin the b value in above equation.

$\frac{a}{2}=3$

Multiplying with 2 on both sides.

a=3X2=6 inches.

Hence actual wingspan of airplane is 6 inches.

7 0

3 years ago

How do if-then statements describe mathematical relationships?

Tanzania [10]

Answer:

Hypotheses followed by a conclusion is called an statement conditional statement. This is read - if then . A conditional statement is false if hypothesis is true and the conclusion is false. ... If we re- arrange conditional statement or change parts of then we have what is called a related conditional .

3 0

3 years ago