What is the equation of the line passing through the points (2, -1) and (5, -10) in slope intercept form

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Hope this helps you

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

Factor [tex]6r^2+14r-12[/tex]

[tex]6r2+14r-12[/tex]

[tex]=2(3r-2)(r+3)[/tex]

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

[tex]6r^2+14r-12[/tex]

Start by factoring out the greatest common factor, [tex]2[/tex]:

[tex]2(3r^2+7r-6)[/tex]

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

[tex]2(3r-2)(r+3)[/tex]

_

To check:

(Multiply First, Outside, Inner, Last):

[tex]2(3r^2+9r-2r-6)[/tex]

Combine like terms:

[tex]2(3r^2+7r-6)[/tex]

Distribute the [tex]2[/tex]:

[tex]6r^2+14r-12[/tex]

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

Answer:

14

Step-by-step explanation:

21/3

7*2

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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Answer:

y=[tex]\frac{-7}{2}[/tex]x-7

Step-by-step explanation:

you didnt put a graph so this is the linear equation

If AB = BC then set up the equation 3x - 4 = 5x - 10

Subtract 3x.

-4 = 2x - 10

Add 10.

6 = 2x

Divide by 2.

3 = x

AB is 3x - 4 so

3(3) - 4

9 - 4

5.

AB = 5

If AB is not equal to BC then this is not solvable.

But if they are I am sure AB = 5.

Hope this helps

Answer:

8

Step-by-step explanation:

1.2 * 8 = 9.6

Answer:

x = -135/7 or -19.3 (rounded to the tenths)

Step-by-step explanation:

-2(2x+60)-2x=-2(1/5x+6)

First Distribute:

−4x+−120+−2x= −2/5 x+−12

Add Like Terms:

-6x-120=  -2/5 x-12

Add -2/5x to each side:

−28 /5 x−120=−12

Add 120 to each side:

−28 /5 x =108

Multiply by (5/-28):

x = -135/7 or -19.3

Answer:

x = -135/7 or -19.3 (✿◠‿◠)

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

Answer: $9420

Step-by-step explanation: 314000x0.03 is 9420

Answer: 314,000 x 0.03 = $9,420

Answer: 40%

Steps: Forty percent of $30 is $18.

Plz mark brainliest:)

Answer:

25%

Step-by-step explanation:

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

Answer:

4.5 gallons

Step-by-step explanation:

18/4

After conversion 18 gallons will be equal to 4.5 quarts .

Given,

1 gallon is equal to 4 quarts

Convert  18 quarts to gallons

Few unit conversions :

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

Now 1 gallon is equal to 4 quarts ,

Here,

1 gallon = 4 quarts

Hence ,

18 quarts = 4.5 quarts .

Know more about unit conversion,

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Answer:

c 78

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

There would be 500 pages.

Answer:

We want to write the cost equation for the company.

First, we know that:

It cost $20 per box.

There is a fixed cost of $2300.

Then the only variable will be the number of boxes that they make.

Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).

Then we can write the cost equation as:

C(x) = $20*x + $2300.

Where x is our variable, the number of boxes made by the company.

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

The constant of proportionality is the slope.

The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)

From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.

From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).

From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.

Answer:

w = 10

Step-by-step explanation:

I did the math and and I got 10

Hope it helps!! :D

Answer:

w = 10?

Step-by-step explanation:

Answer:

C. (3,20)

Step-by-step explanation:

Answer:(3,20)

Step-by-step explanation:

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

Answer:

204.4 amu

Step-by-step explanation:

0.30 * 203 = 60.9

0.70 * 205 = 143.5

60.9 + 143.5 = 204.4 amu

I hope this helps!

Answer:

......

Step-by-step explanation:

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Answer:

[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]

Step-by-step explanation:

[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =

[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =

[tex]1.8[/tex] × [tex]10^{10}[/tex]

The answer is option B.

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67  * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

Answer:

2.1x10 to the power of three

Step-by-step explanation:

\frac{5.67\times 10^7}{2.7\times 10^4}

2.7×10

4

5.67×10

7

​

Divide them.

\frac{5.67}{2.7}\times \frac{10^7}{10^4}

2.7

5.67

​

×

10

4

10

7

​

Divide numbers and 10's separeately.

2.1\times 10^3

2.1×10

3

Subtract exponents.

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min