Which of the following is the point and slope of the equation y + 5 = 3(x + 9)?

Mathematics

1 answer:

Tatiana [17]3 years ago

3 0

Answer:

Option B, (-9, -5), 3

Step-by-step explanation:

The point slope form in: y - y1 = m(x - x1)

m is the slope

(x1, y1) is the point

Step 1: Determine what the slope and point is their equation

y + 5 = 3(x + 9)

3 is the slope

(-9, -5) is the point

Answer: Option B, (-9, -5), 3

You might be interested in

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help

VMariaS [17]

Answer: a) 8.779 years

b) 8.664 years

Step-by-step explanation:

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

A: accumulated amount (balance)
P: principal amount (original/initial investment)
r: interest rate (convert to a decimal)
n: number of times compounded per year
t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

$1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}$