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2 years ago

(A) Find the slope of the line that passes through the given points.

1 answer:

6 0

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{6 +3}\implies 0$

hmmm a line with a slope of 0 is a horizontal one, and it has no slope-intercept form.

Check the picture below.

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How to solve using perfect square x^2-4x-32=0

zmey [24]

$Perfect\ square:(a-b)^2=a^2-2ab+b^2\\\\x^2-4x-32=0\ \ \ \ |add\ 32\ to\ both\ sides\\\\x^2-4x=32\\\\x^2-2x\cdot2=32\ \ \ \ |add\ 2^2\ to\ both\ sides\\\\x^2-2x\cdot2+2^2=32+2^2\\\\(x-2)^2=32+4\\\\(x-2)^2=36\iff x-2=-\sqrt{36}\ or\ x-2=\sqrt{36}\\\\x-2=-6\ or\ x-2=6\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=-4\ or\ x=8}$

5 0

3 years ago

Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1.

Gennadij [26K]

We will use seperation of variables

tmes both sies by 1/(y^2)
times both sides by dx

we get

1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c

initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c

-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
$y= \frac{2x^2}{3x^2-1}$

6 0

3 years ago

Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu

lana [24]

Answers :

(A) 18.33%
(B) 21.65%
(C) about 173.33
(D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?

<h3>OK, so judging from the bar shown : </h3>

It looks like Rent takes up 1/3 of the space so 33.33..%

It also looks like Loan Repayment + Savings is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

55% of 33.33.. = 18.33%

45% of 33.33.. = 14.99%

LR looks equal to Entertainment making it another 14.99.

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know Entertainment = 14.99 / 45% of 33.33..

Making Electricity and Water ABOUT 35% of 33.33... which is 11.66

And Groceries is somehow 20% of 33.33 = 6.66

Rent = 33.33..%
Savings = 18.33%
Loan Repayment 14.99%
Entertainment 14.99%
Electricity and Water 11.66%
Groceries = 6.66%

<h3>All of these added together equal ABOUT 100%</h3>

4 0

3 years ago

Is 22, 25, 27, 30, 33 an arithmetic sequence?

Softa [21]

Ansyessss. dont trust me on this

Step-by-step explanation:

good luck

6 0

3 years ago

Read 2 more answers

If the midpoints of the sides of triangle EFG shown below were connected

Ronch [10]

Answer:

Choice 1) 181.5 mm

Step-by-step explanation:

41.5+55+85 = 181.5

8 0

3 years ago