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Ulleksa [173]
3 years ago
14

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). W

rite the equation in slope-intercept form.
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0

Slope-intercept form: y = mx + b

Given: slope of 2 and passes through the point (–4, 3)

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

Answer

Slope-intercept form: y = 2x + 11

ioda3 years ago
4 0

Answer:

y = 2x + 11

Step-by-step explanation:

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Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara
wlad13 [49]

Answer:

Chiara has 2 penny coins and 24 nickel coins

Step-by-step explanation:

Let

p ----> the number of penny coins

n ---> the number of nickel coins

Remember that

1\ penny=\$0.01

1\ nickel=\$0.05

Chiara has 26 coins that equal 34 cents

so

p+n=26

isolate the variable x

p=26-n ----> equation A

34 cents=$0.34

0.01p+0.05n=0.34

Multiply by 100 both sides

p+5n=34

isolate the variable x

p=34-5n -----> equation B

Create a table  to guess

assume  different values of n and determine the value of p in equation A and equation B

The solution is when the value of p in the equation A must be equal to the value of p in equation B

1) For n=1

equation A

p=26-1=25

equation B

p=34-5(1)=29

29\neq 25

2) For n=2

equation A

p=26-2=24

equation B

p=34-5(2)=24\\24=24

therefore

The solution is (2,24)

Chiara has 2 penny coins and 24 nickel coins

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3 years ago
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bogdanovich [222]

7 is the most common in this expression.

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3 years ago
1. The missing value that makes the polynomial x^2-6x+? A perfect square quadratic is...___
Lera25 [3.4K]

Answer:

1. The missing value is 9

2. The missing value is 81

Step-by-step explanation:

1. To find the missing value of a perfect square you divide the center term (-6 as is -6x) by two to get 3 then square the three to get 9

To check this write it as the simplified form (x-3)^2 and multiply it out again using foil.   x times x is x^2,  -3 times x is -3x ( this happens twice adding up to the -6x), and -3 times -3 is 9 making it x^2 -6x +9

2. Follow the steps for the previous problem to get the same answer for this one. Divide 18 (middle term) by 2 making 9. Then square the 9 making 81.

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What fraction is closest to -1/2
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<span>fraction is closest to -1/2:</span>
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