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3 years ago

2/3 1 3/2 2 what is the slope of the line?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

m =

8 - 4

6 - 3

d = √(6 - 3)2 + (8 - 4)2 = 5

= tan(θ)

θ = tan-1(

) = 53.13°

Step-by-step explanation:

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Which equations show a direct variation between x and y when solved for y?

Alika [10]

A. if you solve for y, then you get y=2x+18, and that is not direct variation, so it is not
B. It is direct variation since you only have a slope and the line passes through the origin so it is direct variation
C. If you solve for y, you get y=1/3x. and that is direct variation because the line passes through the origin.
D. That is not direction variation,because that is inverse variation.
So it is B, C

4 0

3 years ago

-2(4n-6)=22 what is n?

Anna71 [15]

Answer: n = 5/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(4n−6)=22

(−2)(4n)+(−2)(−6)=22(Distribute)

−8n+12=22

Step 2: Subtract 12 from both sides.

−8n+12−12=22−12

−8n=10

Step 3: Divide both sides by -8.

-8n/-8 = 10/-8

n = 5/4

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is the value of x?

MA_775_DIABLO [31]

Answer: $\bold{C)\ -\dfrac{1}{2}}$

Step-by-step explanation:

$.\qquad \dfrac{x+2}{15}=\dfrac{x+1}{5}\\\\\\\rightarrow (15)\dfrac{x+2}{15}=\dfrac{x+1}{5}(15)\\\\\\\rightarrow x+2=3(x+1)\\\\\rightarrow x+2=3x+3\\\\\rightarrow \qquad 2=2x+3\\\\\rightarrow \qquad -1=2x\\\\\rightarrow \qquad -\dfrac{1}{2}=x$

8 0

3 years ago

The product of 2 and a number minus 9 is 13

algol13

<h3>The value of the number is equal to 11.</h3>

2x - 9 = 13

Add 9 to both sides.

2x = 22

Divide both sides by 2.

x = 11

5 0

3 years ago

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago