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3 years ago

Find the slope from an equation ??? Y = -x

Mathematics

1 answer:

lord [1]3 years ago

5 0

Answer:

<h2>The answer is - 1</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation of the line is

y = - x

Comparing with the general equation of the line

The slope of the line is - 1

Hope this helps you

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A gardener has 10 pounds of soil. He used 5/8 of the soil for his garden. How many pounds of soil did he use in the Garden? How

olchik [2.2K]

A gardener has 10 pounds of soil. Now he 5/8 of that soil for his garden. Let's solve how many pounds of soil did he used and how many pounds is left.
=> 5/8
=> 10 lbs / 8 = 1.25 lbs
=> 1.25 lbs * 5 = 6.25 lbs.
He used 6.25 lbs of soil for his garden and has 3.75 lbs of soil left.

8 0

2 years ago

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Steve picks 55 pounds of pears. He packs an equal amount of pears into 6 bags. He then has 4 pounds of pears left. What is the w

Serggg [28]

Because he has 4 pounds of apples left, you are to subtract that from the total pounds picked, which was a total of 55 pounds. So 55 with 4 taken away, or 55 - 4, equals 51. Since he had equally put 51 pounds into six bags, you are to then divide . 51 / 6 = 8.5. He had put 8.5 pounds worth of apples into each bag.

4 0

2 years ago

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A cellular phone is in the shape of rectangular prism. The height of the phone is 6 millimeters, and the width is 50 millimeters

Bas_tet [7]

Answer: 75ml

Step-by-step explanation:

The volume of a rectangular prism is:

= Length × width × height

where,

Volume = 22500ml³

Length = Unknown

Width = 50ml

Height = 6ml

We then slot the values into the formula.

Volume = Length × width × height

22500 = Length × 50 × 6

22500 = Length × 300

Length = 22500/300

Length = 75ml

The length of the cellular phone is 75ml.

5 0

2 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago

What’s the answer to this?

kaheart [24]

Answer:

100

Step-by-step explanation:

5 0

3 years ago