What is the slope of the line that passes through the points -16,0 and -8,2?

Hello!

[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]

x + 3y = 2

Rewritten into slope form: y = mx + b

Find the slope when rewritten:

Move x to the right hand side of the equation. (Subtract)

x - x + 3y = 2 - x

3y = 2 - x

Divide both sides by 3:

y = 2/3 - 1/3x

Rearrange:

y = -1/3x + 2/3.

The slope is equivalent to -1/3.

Answer:

b or g(x) = |x + 4| – 10

Step-by-step explanation:

Answer:

B) g(x) = |x + 4| – 10

Hope This Helps!

Answer:

The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

We need to find slopes of AC and AD and tell if they are same or not.

The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Finding slope of AC

We have A=(3,2) and C=(0,1)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]

So, Slope of AC is [tex]\frac{1}{3}[/tex]

Finding slope of AD

We have A=(3,2) and C=(9,4)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]

So, Slope of AD is [tex]\frac{1}{3}[/tex]

So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

$157.5

Step-by-step explanation:

Given that:

Number of hours worked after the school = 1.5 hours

Earnings per hour = $3.50

Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25

Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25

Number of weeks for which Ob works = 6

Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days

Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5

Answer:

=> $2,833.47

Step-by-step explanation:

n = [lnA - lnP] / ln(1 + i)

n = [ln15000 - ln10000] / ln(1 + 0.03)

n = [9.6158 - 9.2103] / 0.0296

n = 13.70

13 years, 8 months and 12 Days

P = A / [(1 + i)n]

P = 15000 / [(1.03)4]

P = 15000 / 1.1255

P = $13,327.31

A = 10000 (1 + 0.04)5

A = $12,166.53

The amount of money you need to save to buy a car at $15,000 would be;

$15,000 - $12,166.53

=> $2,833.47

Answer:

The points from the left;

71, 74 , 77, 80, 83, 86 , 89

Step-by-step explanation:

Here, we want to label the normal curve given the mean and the standard deviation

From what we have, the central part is the mean while the other parts are deviations from the mean

We will label the graph starting from the left to the right

1 is 3 SD from the mean (negatively)

That will be 80-3(3) = 80-9 = 71

2 is 2 SD away

That will be;

80 -2(3) = 80-6 = 74

The 3rd part is 1 SD away

That will be 80-3 = 77

The midpoint is for the mean which is 80

The point after this will be;

80 + 3 = 83

The point after this will be;

83 + 3 = 86

Next is

86 + 3 = 89

Answer:

3, by 100 times

Step-by-step explanation:

a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.

Answer:

i think about $3.80

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

edge

Answer:

a

Step-by-step explanation:

edge

Answer:

it is 1

Step-by-step explanation:

because the line goes through 1 on the y-axis

Answer:

The answer is 1

Step-by-step explanation:

−24x+16

Hope this helps!

Answer:

-24× + 16

Step-by-step explanation:

hope this helps :D

Answer:

The volume of a cube with the side length 't' will be:

V = t³

Yes! the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.

Step-by-step explanation:

We know that volume is the measurement of how much space a 3-d object takes up.

Given that the cube with the side length 't'.

As every edge of the cube is the same length.

Thus, the volume of a cube with the side length 't' will be:

V = t³

For example, if the side length t = 2 cm

Then,

V = 2³ = 8 cm³

Yes, the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

Answer:

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Step-by-step explanation:

Given the linear inequality

x ≤ 3

substitute the value of x = -2

-2  ≤ 3

TRUE

It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.

Also,

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

∴ 4.55 = h

∴ The height of the right circular cylinder is 4.55 inches

Answer:

B.) 4.55

Step-by-step explanation:

Edge 2021

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900

Answer from abid58b

Answer:

what are the units?

Step-by-step explanation:

depends on the side of 1 square

if it is 1 unit, perimeter is 22 units

Answer:

t-5=12

Step-by-step explanation:

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Answer:

2.5, 2.75, 3.7, 4¾ (4.75), 5.5, 29/5 (5.8), 6, 21/4 (7)

Step-by-step explanation:

I converted the fractions into decimals to make it easier to order. Hope this helps.

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

Answer:

C 71/248

Step-by-step explanation:

College Board

The probability that the selected student will be be in grade 10 given that the student ordered French fries is 71/245

The conditional probability can be defines thus :

Hence,

Learn more : https://brainly.com/question/18904995

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)