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3 years ago

Write an equation (y=mx+b) through the points: (3,-1) and (8,9)

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Answer:

y=2x-7

Step-by-step explanation:

m==2

y=mx+b

9=16-7

y=2x-7

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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: between the midpoints of segments AP and QB

amid [387]

Answer:

$\frac{a}{8}$

Step-by-step explanation:

AB = a

AP = 2PQ = 2QB

AB = AP + PQ + QB

= AP + $\frac{AP}{2}$ + $\frac{AP}{2}$

AB = 2AP

AP = $\frac{a}{2}$ -----(1)

And we know QB = $\frac{AP}{2}$

QB= AP/2 = $\frac{a}{4}$ ---------(2)

Now midpoint of AP = $\frac{a}{2}$ × $\frac{1}{2}$ = $\frac{a}{4}$

and midpoint of QB = $\frac{a}{4}$ × $\frac{1}{2}$ = $\frac{a}{8}$

distance between these midpoints = $\frac{a}{4}$ - $\frac{a}{8}$

= $\frac{a}{8}$

4 0

4 years ago

Read 2 more answers

The sum of three numbers is 35. The first number is three less than the second and the third is two more than 4 times the second

saul85 [17]

Step-by-step explanation:

$x + y + z = 35 \\ x = y - 3 \\ z = 4y + 2 \\ \\ (y - 3) + y + (4y + 2) = 35 \\ 6y - 1 = 35 \\ 6y = 36 \\ y = \frac{36}{6} \\ y = 6 \\ \\ x = y - 3 \\ x = 6 - 3 \\ x = 3 \\ \\ z= 4y + 2 \\ z= (4 \times 6) + 2 \\ z = 26$

7 0

3 years ago

Read 2 more answers

Find the area of the figure.

Alenkinab [10]

Answer:

24 units

Step-by-step explanation:

In this problem, the area of this shape is measured in units.

1 unit = 1 little square

So, lets count all of the full squares. There are 20 of them.

Now lets count all of the half squares. There are 8 half squares.

Now, if we divide 8 over 2, we get 4 full units.

Now we just add up the units: 20 + 4 = 24 units

Hope this helps!

6 0

3 years ago

Read 2 more answers

The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a

Ilia_Sergeevich [38]

You plug in 2000 for c
Then u subtract 35 from 2,000 and get 1,965
Then u divide 1,965 by 6.5 and u get 302.3 but your actual answer is 302 T-shirts

Answer: 302 T-shirts

6 0

3 years ago

#1: Simplify the expression below. Type your answer as an integer.<br> 7 + 1 - 18 : 6

myrzilka [38]

Answer:

Step-by-step explanation:

<u>Steps of calculation:</u>

7 + 1 - 18 : 6 =
7 + 1 - 3 =
8 - 3 =
5

Answer is 5

8 0

3 years ago