Ask question

Ask question

All categories

3 years ago

5

Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)

1 answer:

vodka [1.7K]3 years ago

8 0

Or you can do the easy way

convert to slope intercept
y=mx+b
m=slope

get 1y all by itself

8x-4y=8
minus 8x both sides
-4y=-8x+8
divide both sides by -4
y=2x-2
y=mx+b
slope is 2

the hack way is
for an equatoin in standard form
ax+by=c
slope=-a/b

slope=2

if you want to graph 2 points and do it the long way, here it is
if x=0, y=-2
if y=0, x=1
(0,-2) and (1,0)
slope=(y2-y1)/(x2-x1)
slope=(0-(-2))/(1-0)=2/1=2

slope is 2

You might be interested in

Someone please find the constant proportionality!!!

Andru [333]

Answer:

Possible - 1 and 0

.....

8 0

2 years ago

Draw a picture in the space in the right to show how you would find 1/2 of 8 marbles

777dan777 [17]

Simply present that you would split them up as a factor of two. ( make two lines going either vertically or horizontally. place in varriations, a marble in one line and a marble in the other and then count the leftover

7 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

What is the place value of 2 in the number 34277

rjkz [21]

Answer:

Hundreds

Step-by-step explanation:

Refer to the underlined numbers:

3427<u>7</u> - 7 is in the ones place

342<u>7</u>7 - The second 7 is in the tens place

34<u>2</u>77 - 2 is in the hundreds place

3<u>4</u>277 - 4 is in the thousands place

<u>3</u>4277 - 3 is in the ten thousands place

3 0

3 years ago

Read 2 more answers

A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and

NISA [10]

Answer:

5 Gello Pens and 12 Inko Pens.

12 Inko Pens adds up to 84.

5 Gello Pens adds up to 25.

84 + 25 = 109.

I hoped this helped :)

6 0

3 years ago

Read 2 more answers