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Katena32 [7]
3 years ago
12

Write an equation for the ordered pairs (0,5) (1,0)

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
M=0-5/1-0
m=-5/1=-5
y-y1=m*(x-x1)
y-5=-5(x-0)
y-5=-5x
y=-5x+5
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Simplify the following expression.<br><br> 99 - 3[15 - (2 + 1)]
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Answer:

63

Step-by-step explanation:

2+1= 3

15-3= 12

12 x 3 = 36

99 - 36

= 63

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Henrietta has a sample of a pure substance in a beaker. She heats the substance to a temperature of 100°C. What will determine i
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The answer is c
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Look at attachment down below. If can’t see let me know
Vesnalui [34]

Answer:

C and E

Step-by-step explanation:

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3 years ago
A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

5 0
3 years ago
Create a story context for the following expression.<br> 1/3 x ($20 - $3.20)
maksim [4K]

Answer:

Julie and her 2 sisters want to buy a new videogame, it costs $20, if their grandmother gives them $3.20 to buy it, how much will each have to pay?

Step-by-step explanation:

When you have a problem like this you just have to thing on a reason to multiply by a fraction and a withdrawal from the total, if you are multiplying by a fraction, that means you are dividing money, so thats why we put julie and her sisters as subjects, and her grandma givin them money is to withdraw from the total amount those $3.20

4 0
3 years ago
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