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2 years ago

Which equation in point slope form describes the line that passes through (3,-5) and has a slope of 2?

Mathematics

1 answer:

slava [35]2 years ago

8 0

Answer:

y + 5 = 2(x - 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Point (3, -5)

Slope m = 2

Step 2: Write equation

Substitute in variables into the general form.

y + 5 = 2(x - 3)

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Find the equation of the line passing through the point (1, 3) and parallel to the line y--5x 2 Select one: ? ?.ys x+14 3 O E. n

Varvara68 [4.7K]

Answer:-12

Step-by-step explanation:

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3 years ago

Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t

stira [4]

Answer:

Option A - The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function $d(t)=81t$

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

Distance traveled by Train B in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.

8 0

3 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago

Algebra is hard 6-9y > 30-5y

igomit [66]

Answer:

y=6

Step-by-step explanation:

6-9y>30-5y,-9y+5y>30-6, -4y>24,-4y/-4so -will concel -and 4 will cancel 4>24/4=y=6

5 0

2 years ago

A circle has a diameter of 10 centimeters. of a sector with a central angle of 50 degrees is cut out, what is the area of this s

kramer