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3 years ago

What's the equation of the line with a slope of -3 (m=-3) that passes through (-1,2)

Mathematics

1 answer:

Sladkaya [172]3 years ago

4 0

You can use slop point form: y-y1=m(x-x1)

y-2=-3(x+1)
y-2=-3x-3
y=-3x-1

Hope this helps!

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Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5

KengaRu [80]

A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016

4 0

3 years ago

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

4 0

3 years ago

PLEASE SOLVE!!!! ASAP!!!! Thanks 2[(∛8)²+1/8*16]

ehidna [41]

2[(∛8)²+1/8*16]

(∛8)² = (∛8) x (∛8) = (∛64) = 4
1/8 *16 = 16/8 = 2
Total expression = 2 * (4+2)= 12

6 0

4 years ago

-24 - (-6) = -24 + 6 True or False.

abruzzese [7]

Answer:

True

Step-by-step explanation:

When you have 2 negative together they will become a positive (5- (-2) = 7)

5 0

3 years ago

Read 2 more answers

Pls help I dont get it

iragen [17]

Answer:

y=4x

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the y intercept.

The slope formula is Δy/Δx, so using the coordinates (1, 4) and (2, 8), the slope is $\frac{8-4}{2-1}$ which equals 4.

The y intercept is 0.

Therefore, the equation is y=4x.

8 0

4 years ago