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3 years ago

Slope line G(-3,1)H(-2,-2)

1 answer:

8 0

The slope from point G to point H is -3/1 or -3
$m = \frac{y2 - y1}{x2 - x1}$
Plug into points into formula with the corresponding x and y variables.
(x1,y1), (x2,y2)
$m = \frac{ - 2 - 1}{ - 2 - ( - 3)}$
Solve
m=-3/1
m=3

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Which of the following statements correctly uses the distributive property?

Anna007 [38]

Answer:

d) 9(-7+6) = 9(-7) + 9(6) is the correct use of Distributive Property.

Step-by-step explanation:

Distributive Property states that form any three expressions A, B and C

1. A( B -C) = AB - AC

2. A (B + C ) = AB + AC

Now, here

a) 0-3(12+5)= -3(12) - (-3)(5)

Solving Left side by distributive property, we get

0-3(12+5) = -3(12) + (-3)(5)

and -3(12) + (-3)(5) ≠ Right Side -3(12) - (-3)(5)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

b) 7(19 - 8) = 7(19) - 8

Solving Left side by distributive property, we get

7(19 - 8) = 7(19) - 7(8)

and 7(19) - 7(8) ≠ Right Side 7(19) - 8

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

c) -2(15 - 3) = -2(15) + (-2)(3)

Solving Left side by distributive property, we get

-2(15 - 3) = -2(15) - (-2)(3)

and -2(15) - (-2)(3) ≠ Right Side -2(15) + (-2)(3)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

d) 9(-7+6) = 9(-7) + 9(6)

Solving Left side by distributive property, we get

9(-7+6) = 9(-7) + 9(6)

and 9(-7) + 9(6) = Right Side 9(-7) + 9(6)

⇒ CORRECT USE OF DISTRIBUTIVE PROPERTY

3 0

3 years ago

What does difference of squares mean? How can you recognize it when looking at an expression?

ki77a [65]

It is called a difference of squares because there are two things squared being subtracted. You can recognize it when there are two terms, subtraction between the two of them, and you know the square root of both

3 0

3 years ago

Read 2 more answers

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink

ddd [48]

Answer:

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains $=\frac{20}{100}\times x$ liters $=\frac{x}{5}$ liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains $=\frac{5}{100}\times (80+x)$ liters $=\frac{80+x}{20}$ liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

$\frac{80+x}{20}+\frac{x}{5}= 56.5$

$\Rightarrow \frac{80+x+4x}{20}=56.5$

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

$\Rightarrow x=\frac{1050}{5}$

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

4 0

4 years ago

Graph a line with a slope of 3/4 that contains the point (2,-3).

mel-nik [20]

Answer:

Start at the y-intercept (0, -4.5) and then use rise over run (Up 3 and right 4)

Step-by-step explanation:

y - y1 = m(x - x1)

y + 3 = 3/4(x - 2)

y + 3 = 3/4x - 3/2

y = 3/4x - 9/2

6 0

3 years ago

Brandy's Candies sells 250 types of candy, and 30% of them are lollipops. How many types of candy are lollipops?

Bas_tet [7]

Answer:

Step-by-step explanation:

When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.

250*.3=75

3 0

3 years ago