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2 years ago

Two lines that have the same y intercept and different slopes intersect at exactly one point.

Mathematics

2 answers:

jek_recluse [69]2 years ago

6 0

Answer:

False. They will be parallel to each other

Anit [1.1K]2 years ago

4 0

Answer:

false they would be parallel lines

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Find the x-coordinate for the midpoint of AB if A(-3, 8) and B(-7,-6).

spayn [35]

x =-5

------

1) Since the Formula of the Midpoint is:

2) So Let's plug it into the formula the values, for A, and B

3) So the x coordinate of the Midpoint is x =-5

4 0

9 months ago

Mark is 11 years older than his sister. in 8 years he will be twice as old as she will be then.How old are they now

earnstyle [38]

X=Marks sister's age
x+11= Marks age
x+11 +8 = 2x+8
x+19=2x +8
x+19-x=2x-x +8
19-8=x+8-8
11=x Marks sisters age in 8 years
11-8= 3 Marks sisters age now
x+11=22 Marks age in 8 years
22-8= 14 Marks age now

6 0

3 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

$4s^2 + 2s^2 = 6s^2$

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

$6s^2 + 10sh = 450$

$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

4 0

3 years ago

A family has a combined monthly income of $2580. Their food budget is $310/month. What percentage of their monthly income is bud

stellarik [79]

So you have 318/2580 (since the top is the amount of money they use for food and the bottom is the total). You will want to divide it into 2 so 318/2 and 2580/2. Then you will get 159/1290. The divide 159/1290 with 3. So you will get 52/430. It may seem that you will need to divide 430 with 52 now. Once you get that, you will get the decimal 0.123255814. (I used a calculator). Then Move the decimal twice to the right to make that whole percentage. You will get 12 as you whole number (Ignoring the fact you have 3255814 as your remaining.). So the answer for that is….

12%!!

6 0

3 years ago

The ratio of red marbles to blue marbles in a jar is 2 to 5. If there are a total

Kobotan [32]

There are 16 red marbles

4 0

2 years ago