All categories

4 years ago

If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Mathematics

2 answers:

slega [8]4 years ago

8 0

we know that

If line b is perpendicular to line a, and line c is perpendicular to line a,

then

line b and line c are parallel

and two lines parallel have the same slope

<u>Find the slope of the line b</u>

Let

$A(-3,-2)\\B(2,3)$

The formula to calculate the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

$(x1,y1)=(-3,-2)\\(x2,y2)=(2,3)$

substitute

$m=\frac{(3+2)}{(2+3)}$

$m=\frac{(5)}{(5)}$

$m=1$

therefore

<u>the answer is</u>

<u>the slope of the line c is</u>

$mc=1$

jeyben [28]4 years ago

5 0

Answer:

the answer is 1

You might be interested in

The original selling price of a single share of stock was d dollars. The selling price for a share of the same stock on a later

stepladder [879]

Answer:

Step-by-step explanation:

The expression 1.25 d means 100% of the price +25% of the price. This means it increased by 25%. Multiplying it by 0.8 means it's value is only 80% of the value now which means it must of had a 20% decrease after increasing. It's now at it's original price.

4 0

3 years ago

Supposed there are 2 blue 3green and 5 yellow marbles in a bag.one marble will be drawn from the bag.calculate each probability

FinnZ [79.3K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Big Bob’s Pizza is having a special on pizza and is offering two different choices: Choice #1: One slice of pizza from a pizza w

olya-2409 [2.1K]

<h2>Answer:</h2>

Choice #1 is better

<h2>Step-by-step explanation:</h2>

To find the solution to this problem, we have to compute the are in each case, and divide each value by the corresponding cost in order to find the cost per square. The lower the cost, the better the offer because it will give you more pizza for your money Thus:

CHOICE 1:

Here the offer of Big Bob’s Pizza gives one slice of pizza from a pizza with a 22 inches diameter (then the radius is 11 inches) and is cut into 8 slices, so the area for the first entire pizza is:

$A_{1}=\pi r^2=\pi(11)^2 \\ \\ A_{1}=121 \pi in^2$

Each slice has an area of:

$A_{slice}=\frac{121 \pi}{8} \\ \\ A_{slice}=47.51in^2$

Finally, the cost per square inch is:

$C=\frac{4.95\$}{47.51in^2}=0.10\$$

CHOICE 2:

Here the offer of Big Bob’s Pizza gives: An entire personal-size pizza that has a diameter of 6 inches (then the radius is 3 inches), so the area for the entire pizza is:

$A_{2}=\pi r^2=\pi(3)^2 \\ \\ A_{2}=28.27 in^2$

Finally, the cost per square inch is:

$C=\frac{3.75\$}{28.27in^2}=0.13\$$

CONCLUSION: <u>Choice #1</u> gives you more pizza for your money because the cost per square inch is less than the other option.

8 0

3 years ago

Read 2 more answers

An Investment earning Interest at the rate of 10%, compounded continuously, will double in tyears. Find t

garri49 [273]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wtjfavyw

6 0

3 years ago

Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không nhữ

grigory [225]

Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )

⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)

xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)

⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)

Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30

me lười làm khúc dưới quá nên tự xử nha.

8 0

3 years ago