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3 years ago

Complete the equation of the line through (2,1) and (5,-8)

Mathematics

1 answer:

Mila [183]3 years ago

7 0

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

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(2h3 + 6h) + (3h3 - 7h - 3) standard form sum or difference.

worty [1.4K]

Answer:

$5h^3- h - 3$

Step-by-step explanation:

Given

$(2h^3 + 6h) + (3h^3 - 7h - 3)$

Required

Standard form

We have:

$(2h^3 + 6h) + (3h^3 - 7h - 3)$

Remove bracket

$(2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 6h + 3h^3 - 7h - 3$

Collect like terms

$(2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 3h^3+ 6h - 7h - 3$

$(2h^3 + 6h) + (3h^3 - 7h - 3) = 5h^3- h - 3$

Hence, the standard form is:

$5h^3- h - 3$

3 0

3 years ago

Is the sum of 3+ The Square root of 7 a rational number?

andrew-mc [135]

Answer:

yes

Step-by-step explanation: i did a test like 2 weeks ago and this was a question and i got it right

3 0

3 years ago

Describe and correct any error a student may have made when solving the equation

Lady_Fox [76]

Answer:

The student made an error during the distributive property in the second step where they multiplied 0.15 by -0.2 to equal -0.3 when it should have been -0.03.

Step-by-step explanation:

$0.15(y-0.2)=2-0.5(1-y)\\0.15y-0.03=2-0.5+0.5y\\0.15y-0.03=1.5+0.5y\\100(0.15y-0.03)=100(1.5+0.5y)\\15y-3=150+50y\\15y-3-15y-150=150+50y-15y-150\\-153=35y\\-\frac{153}{35}=y$

6 0

3 years ago

The United States has a total area of 3,796,742 square miles.

Dvinal [7]

Answer:

4 * 10^6

Step-by-step explanation:

3,796,742 is about 4,000,000

4 * 10^? = 4,000,000

4 to 4,000,000 is an extra 6 zeroes

? = 6

4 * 10^6

4 0

3 years ago

The difference of three times a number and 4 is 32. Find the number

Angelina_Jolie [31]

Answer:

3x - 4 = 32

Step-by-step explanation:

We solve for x to find the number (knowing that x is the unknown number).

3x - 4 = 32

3x = 32 + 4

3x = 36

x/3 = 36/3

x = 12

3 0

3 years ago