All categories

3 years ago

Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

$y-y_1=m(x-x_1)\\y-7 = -\frac{5}{3}(x-3)\\y-7=-\frac{5}{3}x + 5\\y = -\frac{5}{3}x+12$

You might be interested in

c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e

castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

$A=Pe^{rt}$ , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A= $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

$257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428$

Taking natural log on both the sides , we get

$15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%$

Hence, the annual interest rate = 13.29%

6 0

3 years ago

What’s 706 divided by 0363

ioda

706 ÷ 0363
1.94490358127 is your answer.

6 0

3 years ago

How do you solve this

mars1129 [50]

Answer:

The inquality is always false i think..

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How do you find the area of this (it is not 12 or 18) The First answer gets brainliest

bija089 [108]

Answer:

<em><u>ok the area of a trapezoid is 48 </u></em>

a+b divided by two multiplied by height

Step-by-step explanation:

each square equals 2 so you count by twos instead of ones..

the height is 8 the base is 8 and the top is 4 so

4+8/2=6

6*8=48

6 0

3 years ago

Which shows the most reasonable way to estimate 3 and StartFraction 4 over 7 EndFraction (Negative 2 and StartFraction 1 over 12

geniusboy [140]

Answer:

it's b

Step-by-step explanation:

7 0

2 years ago