$8x^2-7x-18=0\\\\ 8x^2-16x+9x-18=0\\\\8x(x-2)+9(x-2)=0\\\\(x-2)(8x+9)=0\ \ \ \Leftrightarrow\ \ \ (x-2=0\ \ \ or\ \ \ 8x+9=0)\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=- \frac{9}{8}$

7 0

4 years ago

Find the slope of the line whose equation is px - qy = r. q/p p/q -r/q

Zina [86]

Answer:

The slope is equal to

$m=\frac{p}{q}$

Step-by-step explanation:

we have

$px-qy=r$

Isolate the variable y

Subtract $px$ both sides

$px-qy-px=r-px$

$-qy=r-px$

Divide by $q$ both sides

$-y=(r-px)/q$

Multiply by $-1$ both sides

$y=(px-r)/q$

$y=\frac{p}{q}x-\frac{r}{q}$ ------> linear equation into slope-intercept form

the slope is equal to

$m=\frac{p}{q}$

The y-intercept is equal to

$b=-\frac{r}{q}$

4 0

4 years ago

Read 2 more answers

Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years

zvonat [6]

Answer:

$80

Step-by-step explanation:

The formula for p is ...

p = I/(rt)

Filling in the given values, we get ...

p = $20/(0.05·5) = $80

The amount that will generate the desired interest is $80.

3 0

4 years ago

What is the volume of the oblique cylinder rounded to the nearest cm^3?

SVETLANKA909090 [29]

Answer: $32009355.90cm^3$

Step-by-step explanation:

Formula: $V=Bh\\$

Since the base is a circumference, we can replace B for the area of a circumference formula.

$V=\pi r^2h$

What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.

$12/2=6ft$ this is the radius.

Now plug all this information into your formula.

$V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3$

Our values are in feet but the question requires cm. Let's convert from $ft^3$ to $cm^3$ .

Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.

$1ft=30.48cm$

Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.

$(1ft)^3=(30.48cm)^3\\1ft^3=28316.8cm^3$

Now we have our conversion factors.

$1130.40ft^3(\frac{28316.84cm^3}{1ft^3})=32009355.90cm^3$

4 0

3 years ago