All categories

2 years ago

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

1 answer:

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

Look at the photo pick A B C D either one explanation not needed thank you! <3

elena55 [62]

Answer:

Step-by-step explanation:

8 0

2 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago

Please help with question number 19, this is for math class

natima [27]

For the smaller triangle ;
15^2 + b^2 = 17^2
b = 8

To check the work
15^2 + 8^2 = 289
17^2 = 289

(This is if the bottom number on the smaller triangle says 15, its a bit hard to read..)

6 0

2 years ago

Find the equation of the line with slope = -4 and passing through (9,-29). Write your equation in the form

Vlad [161]

Answer:

y = -4x + 7

Step-by-step explanation:

As we can see, we want to write the equation of the line

we have this as;

y = -4x + b

To get the y-intercept, we use the values in the point given

we substitute x = 9 and y = -29

So we have;

-29 = -4(9) + b

-29 = -36 + b

b = 36-29

b = 7

So the equation is;

y = -4x + 7

8 0

2 years ago

What is the measure of angle J in the triangle below? <br> A. 99<br> B. 42 <br> C. 9<br> D. 48

Leya [2.2K]

For this use the law of sines:
$\sin( \alpha ) \div a = \sin( \beta ) \div b \\ \sin( \alpha ) \div 11 = \sin(103) \div 16$
$\frac{ \sin( \alpha ) }{11} = \frac{0.97}{16}$
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
${ \sin}^{ - 1} (0.67) = 42.06 = 42.1 \: deg$
therefore answer B. 42 is the correct answer!!

4 0

2 years ago