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3 years ago

15

Which is an equation of the line that passes through the points 1,3 and -1,1

1 answer:

Klio2033 [76]3 years ago

3 0

Answer:

1

Step-by-step explanation:

y2-y1/x2-x1

so thats the equation so basicly just plug in the #s

1-3/-1-1

-2/-2 = 1

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I understand this.....

Andru [333]

24*22=528 square feet

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4 years ago

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Solve. How can I solve this division 12 divided by 144140

Aleksandr [31]

The answer is 0.00008325

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3 years ago

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Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0

3 years ago

Simplify each exponential expression to the form x^n where n is positive.

vaieri [72.5K]

The expression is:

$\sqrt{\frac{x^{3}x^{8}}{x^{6}}}$

We will use following steps to simplify it:

Step 1:

Use product property of exponents:

$x^{a}*x^{b}=x^{a+b}$

$x^{3}*x^{8}=x^{8+3}$

$x^{3}*x^{8}=x^{11}$

That gives us the expression:

$\sqrt{\frac{x^{11}}{x^{6}}}$

Step 2:

Use division property of exponents:

$\frac{x^{a}}{x^{b}}=x^{a-b}$

$\frac{x^{11}}{x^{6}}=x^{11-6}$

$\frac{x^{11}}{x^{6}}=x^{5}$

This simplifies the expression:

$\sqrt{x^{5}}$

Step 3:

Writing the square root as power 1/2:

$\sqrt{x^{5}}=x^{5*\frac{1}{2} }$

$\sqrt{x^{5}}=x^{\frac{5}{2} }$

Answer:

The final simplified form in x^n form is :

$x^{\frac{5}{2} }$

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4 years ago

Lee filled up his gas tank before starting a road trip. If he used 5.8 gallons two hours into the trip, and has 12.4 gallons rem

Cloud [144]

The answer would be 18.2 gallons because they used up 5.8 gallons, they still have 12.4 gallons that they did not use and in order to get the original amount of gas they had before the trip, you would add up 12.4 and 5.8 to get the Original amount. Hope this helps.

7 0

4 years ago