What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)

Answers

Answer 1

Answer:

Hi there! :)

Answer:

y = 3x - 17.

Step-by-step explanation:

To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:

A line parallel to y = 3x - 8 contains the same slope, or m = 3.

Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:

-5 = 3(4) + b

-5 = 12 + b

Simplify:

-5 - 12 = b

b = -17.

Rewrite the equation:

y = 3x - 17.

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Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ θ < π. Enter your answers as a comma-separated list of ordered pairs.)r = 6 cos(θ)

Answers

Answer:

point of horizontal tangent is $(0^(o),6)$ and point of vertical tangent is $(-15.17^(o),5.79)$

Step-by-step explanation:

For a horizontal tangent it's slope should be zero thus

$r=6cos(\theta )\n\n(dr)/(d\theta)=-6sin(\theta )$ $\therefore -6sin(\theta)=0\n\n \Rightarrow \theta =0,\pi$

Thus the ordered pair of $(\theta ,r)$ becomes (0,6) at this point tangent is horizontal

For a vertical tangent it's slope should be $(\pi )/(2)$

Again differentiating the given curve we get

$r=6cos(\theta )\n\n (dr)/(d\theta)=-6sin(\theta )$ $\therefore -6sin(\theta)=(\pi )/(2)\n\n\Rightarrow \theta =sin^(-1)(-\pi )/(12)$

$\therefore \theta =-15.17^(o)$

Thus the ordered pair of vertical tangent becomes ( $\theta =-15.17^(o),5.79)$

A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?

Answers

Answer:

What you are looking for is the ratio which is 5/9

Step-by-step explanation:

all you had to do was add them together

Answer:

Step-by-step explanation:

5 to 9

The bar diagram represents the ratio of points scored by the home team and the visiting team in a basket ball game. How many points did the visiting team score if the home team scored 84 points?

Answers

Answer:

60 points.

Step-by-step explanation:

Bar diagram which represents the ratio of the points earned by the home team and visitor's team.

Fro the bar diagram,

Ratio of the points earned = $\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}$

= $(7)/(5)$

If the points earned by the home team = 84

$\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}$ = $(7)/(5)$

$\frac{84}{\text{Points earned by visitor's team}}$ = $(7)/(5)$

Points earned by the visitor's team = $(84* 5)/(7)$

= 60

Therefore, 60 points were earned by the visitor's team.

(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?

Answers

Answer:

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

-2 is the least because the two lines means the number inside will be positive.

this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2

Hope this helps you

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed? A: 4+4+4+4
B: 8+8+8+8
C: (-1)(4+4+4+4)
D: (-8)+(-8)+(-8)+(-8)

Answers

The correct answer is B. 8 + 8 + 8 + 8, OR 4*8
Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go, AND HE STOPS 8 TIMES, SO correct answer is 8*4 = 32

Answer:The correct answer is actually D

Step-by-step explanation:

I took the test and got it right :0)

The weather report says the temperature is 20°C and will drop 5°C per hour for the next 6 hours. Daryl plans to begone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above -10°C,
should Daryl move his plant to a warmer location before leaving?
An inequality to model the problem is
The solution is

Answers

Answer:

yes.

Step-by-step explanation:

if he's gone for EXACTLY 6 hours, the plant will be at -10°C when he returns. However, it's stated that he plans to be gone for AT LEAST 6 hours, which means he should probably put the plant indoors or somewhere warmer so he doesn't have to rush home.

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