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3 years ago

Which line has a slope of 1/2 and goes through the point (2,4)?

1 answer:

7 0

The line equation for its slope and one point is:
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = <span>(1/2)x + 3</span>

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Find the lowest common denominator 3x^3y^2 and 18xy^3

Katyanochek1 [597]

$3x^3y^2=(3)(x)(x)(x)(y)(y)\\\\18xy^3=(3)(3)(2)(x)(y)(y)(y)\\\\Answer:(3)(3)(2)(x)(x)(x)(y)(y)(y)=18x^3y^3$

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3 years ago

A plumber notices a faucet leaking of a rate of 2 milliliters per second.

Alja [10]

Answer:

it is 7200 Liters

Step-by-step explanation:

Brainliest?

6 0

2 years ago

Please help to find an explicit formula for calculating the sum Mn

defon

The explicit formula for calculating the sum is

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

The sum of the nth term of a sequence is expressed as;

$S_n=\frac{n}{2}(2a+(n-1)d)$

a is the first term

d is the common difference

n is the number of terms

For the sequence 0 + 1 + 2 + 3 +...

$S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}$

Similarly for the sequence:

1 + 2+ 3 + 4+...

$S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}$

Taking the product of the sum to get the explicit formula for calculating the sum

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

Learn more here: brainly.com/question/24547297

8 0

2 years ago

A store is having a sale on trail mix and jelly beans. For 6 pounds of trail mix and 5 pounds of jelly beans, the total cost is

-Dominant- [34]

6t + 5j= 34
2t + 3j = 16

12t + 10 j = 68
12t + 18j = 96
-8j = -28
j = 3.5

jelly beans= 3.5 and trail mix = 2.75

8 0

3 years ago

Jamie can read at a speed of 65 pages per hour. If she reads a novel that has 400 pages, how long will it

horsena [70]

To find the answer set up an equation:
$400 \: pages \times \frac{1 \: hour}{65 \: pages} =$
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.

Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.

8 0

3 years ago