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Black_prince [1.1K]
3 years ago
5

How do i calculate the slope of the line between (-2, -4) and (-10, 5)

Mathematics
2 answers:
Goryan [66]3 years ago
8 0
Look at the image. I need 20 characters lol
luda_lava [24]3 years ago
6 0

Answer:

-9/8

Step-by-step explanation:

To solve this you do the change in y over the change in x. so in this case it would be (-4)-(5)/(-2)-(-10). Which is -9/8 which is the slope.

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Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Fill in the miss
mario62 [17]

Answer:

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

\frac{a}{b}+\frac{c}{d}

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{ad+cb}{bd}

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0
3 0
3 years ago
Factor 81x²-25. Remember there is no middle term. This is a sum and difference of 2 squares.
natulia [17]

Hey there!!

Basic formula :

... a² - b² = ( a + b ) ( a - b )

Equation given :

... 81x² - 25

... ( 9x )² - ( 5 )²

... ( 9x + 5 ) ( 9x - 5 )

Hope it helps!!

5 0
3 years ago
a square garden has an area of 225 square feet. how much fencing will a gardener need to buy in order to place fencing around th
IgorC [24]
The gardener will need to buy 60 feet of fencing. Because the square root of 225 if 15, and 15 times 4 is 60. So, 60 is the perimeter of the garden.
6 0
3 years ago
At Jim's Juice Box Factory, his machine can fill 300 juice boxed an hour. Each juice box holds 0.8 cups. How many gallons of jui
12345 [234]
(300 box/h) * (0.8 cup/box) * (1 gal)/(16 cup) = 300*0.8/16 gal/h
.. = 15 gal/h

Jim's factory needs 15 gallons of juice per hour.

8 0
3 years ago
Use the distributive property to write an expression that is equivalent to 9(c+5).
shepuryov [24]

Answer:

9c + 45

Step-by-step explanation:

The distributive property also known as distributive law of multiplication and division.

In the given expression, distributive law of multiplication is applied where we can multiply first before addition.

Given

9(c+5)

Using distributive property

9(c+5)

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= 9c + 45

9(c+5) = 9c + 45

3 0
2 years ago
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