All categories

3 years ago

AC has endpoints A(3,7) and C(6,11). Find AB if B is the midpoint of AC.

Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

You might be interested in

Distance between (-4,0) and (2,2)

svetlana [45]

(4,2) is is the distance from these coordinates

5 0

3 years ago

eff put a small box that is 12 inches long, 8 iwide, and 4 inches tall inside a box that is20 inches long, 15 inches wide, and 9

pickupchik [31]

The small box is 384inches squared for the volume and the larger box is 2,700 inches squared so if you place the smaller box inside the larger box the room left inside the larger box would be 2,316 inches squared

6 0

3 years ago

Read 2 more answers

Factor 4x^4yz-16y^3z

Iteru [2.4K]

Answer:

Step-by-step explanation:

$4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)$

6 0

3 years ago

An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a

TEA [102]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

7 0

3 years ago

A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each

igomit [66]

Based on the types of compounding and the interest rates, the following are true:

Part A - The group will have $750
Part B - The group will have $759.19

When using simple interest, the amount the group will have is:

<em>= Amount x ( 1 + rate x number of years )</em>

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

<em>= Amount x ( 1 + rate) ^ Number of years</em>

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

<em>Find out more about </em><em>compound interest </em><em>at brainly.com/question/25263325. </em>

4 0

2 years ago