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1 year ago

The line passing through the points (-2,5) and (1,8)

Mathematics

1 answer:

ycow [4]1 year ago

4 0

Answer:

Step-by-step explanation:

Calculate the slope of a line that passes through (-2,5) and (1,8). The slope is the Rise/Run between the 2 points:

Rise = (8 - 5) or 3.

Run = (1-(-2)) = 3

Rise/Run, the slope m, is 3/3 or 1.

The equation can be written as y = 1x + b.

We need to find a value of b that forces the line though both points. Do that by entering one of the two points into y = 1x + b and solve for b. I'll use point (1,8)

y = x + b

8 = 1 + b

b = 7

The equation becomes <u>y = x + 7</u>

See the attached graph.

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"A gumball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with mini

krek1111 [17]

So Volume (V) of a sphere is:
$V = \frac{4}{3} \pi {r}^{3}$
so essentially we need to divide the machine's Volume (V) the gumball volume (v)
$V = \frac{4}{3} \pi {r}^{3} = \frac{4}{3} \pi {(6)}^{3} \\ V = \frac{4}{3}(216) \pi = 288\pi$
$v = \frac{4}{3} \pi {( \frac{1}{3} )}^{3} = \frac{4}{3} \times \frac{1}{27} \pi \\ v = \frac{4}{81} \pi$
now we divide V by v:
$V/v = \frac{288\pi}{ \frac{4\pi}{81} } = \frac{288}{1} \times \frac{81}{4} = 5832$
so b) 5,832 gumballs can fit in the machine

4 0

2 years ago

According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise. The numbers for

ICE Princess25 [194]

Answer:

2.18

Step-by-step explanation:

The mean is the most familiar average. It is defined as a value obtained by dividing the sum of all observations by their number. It is calculated as

Mean = Sum of all the observations/ Number of the observations

Mean= x₁+x₂+...............+xₐ/n

Where x₁,x₂,...............,xₐ refer to different values of x and n is the sample size.

Mean= 2+1+2+2+2+2+1+3+3+3+3/11= 24/11= 2.18

The mean may correspond to a population or a sample from a population.

The population mean is a fixed quantity where as the sample mean is a variable quantity because different samples from the same population tend to have different means.

6 0

3 years ago

Read 2 more answers

Please help this is due tomorrow us the screen shot

prohojiy [21]

Answer:

A1: 40/3 = 13.33

A2: 1/2 = 20 (half of 40) 40/20 = 2

5 0

2 years ago

Identifying the slope, y-intercept and x- intercept of each

Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

$\frac{(0)-(3)}{(2)-(1)}$

Simplify;

$\frac{-3}{1}\\\\=-3$

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

$y = mx + b$

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

$y=-3x+b$

Substitute in point (3, -3)

$-3=-3(3)+b\\-3 = -9 + b\\6 = b$

4 0

2 years ago

Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

3 years ago