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3 years ago

A line with the slope of -3 passes through (-8, p) and (2, 3p). Find the value of p

Mathematics

2 answers:

lukranit [14]3 years ago

3 0

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

atroni [7]3 years ago

3 0

Answer:

p = -15

Step-by-step explanation:

$-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}$

$\frac{2p}{10} =-3$

$2p=-3(10)$

$p=\frac{-30}{2}$

$p=-15$

$m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3$

I hope this help you

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Explain how you can find 4 x 754 using two different methods

Citrus2011 [14]

Solution: The value of $4\times 754$ is 3,016.

Explanation:

The first method of multiplication is given below:

Multiply the ones digit by the multiplier and write the ones digit of the result in the bottom line and add the tens digit to the next resultant, and same happens with the next number multiplied. This method show in given figure.

The second method of multiplication is given below:

Write the digits as the addition of their place values and then multiply those place value by multiplier individually after that add the results.

$4\times 754=4\times (700+50+4)\\4\times 754=4\times700+4\times50+4\times4\\4\times754=2800+200+16\\4\times754=3016$

Therefore, the value of $4\times 754$ is 3,016.

6 0

3 years ago

Read 2 more answers

If 25 is 40% of a value, what is that value?

luda_lava [24]

The value is 62.50

To the get whole value or 100 % of the value, we always divide the value to its corresponding percentage.

25 is the value; 40% is the percentage of 25 from the whole value.

25 / 40% = 62.50

In the event that the value of a part and the whole is given and the percentage is required. Simply divide the part by the whole to get its percentage of the whole.

whole = 62.50
part = 25

25 / 62.50 = 0.40 * 100% = 40%

If the whole value and the percentage is given. To find the value of the percentage, simply multiply the whole to the percentage.

whole = 62.50
percentage = 40%

62.50 * 40% = 25

6 0

3 years ago

An elementary school is in a growing suburb. The school’s principal estimates that the current enrollment of 750 students will i

HACTEHA [7]

Answer:

62.9% in ten years

Step-by-step explanation:

This type of growth corresponds to what is called an exponential growth, since in the expression for the number of students keep including the multiplication of the same factor as the years go by, Let's start by analyzing what happens the first year:

The initial enrollment of 750 is expected to grow by 5%, therefore after one year the enrollment should be:

After one year = Year_1 = 750 + 5% increase = $750+750*0.05=750(1+0.05)$

where we have used the decimal form of 5% as he factor 0.05 multiplying 750 (the initial enrollment) to give the increase.

After the second year, we consider a starting value of Year_1 enrollments that will increase another 5%, which gives: Year_2 = Year_1 + Year_1 * 0.05= Year_1 (1 + 0.05).

So replacing Year_1 by its original expression (750(1+0.05)) we notice that Year_2 = 750 * (1+0.05) * (1+0.05) = 750 * (1+0.05)^2

We can go on with this same reasoning and find that each year includes a new factor (1+0.05) to the new increasing enrollment.

At the end of 10 years, the number of enrollment will be:

$750*(1+0.05)^10=1221.67$