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kicyunya [14]
3 years ago
8

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics
1 answer:
Len [333]3 years ago
4 0

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)

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A total of 632 adults and children are at a water park. There are 68 fewer adults than children at the water park. How many chil
Alinara [238K]

Answer:

<h2>350 children</h2>

Step-by-step explanation:

x = Number of adults

x + x + 68 = 632

2x = 632 -  68

2x = 564

x = 282

282 + 68 = 350

350 children.

We can always check.

282 + 350 =

It equals 632, so we know our answer is correct.

6 0
2 years ago
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Answer:

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3 years ago
Luke buys 4 bolts and 6 washers for $2.20 and Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store. Dete
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Answer:

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

Step-by-step explanation:

Let us represent:

Cost of bolts = x

Cost of washers = y

Luke buys 4 bolts and 6 washers for $2.20

Hence:

4x + 6y = 2.20....Equation 1

Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.

3x + 5y = 1.80....Equation 2

Combining both Equations

4x + 6y = 2.20....Equation 1

3x + 5y = 1.80....Equation 2

Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x

12x + 18x = 6.6.....Equation 4

12x + 20x = 7.2.......Equation 5

Substract Equation 4 from 5

= 2x = 0.6

x = 0.6/2

x = $0.3

Solving for y

4x + 6y = 2.20....Equation 1

4 × 0.3 + 6y = 2.2

1.2 + 6y = 2.2

6y = 2.2 - 1.2

6y = 1.0

y = 1.0/6

y = $0.167

Cost of bolts = x = $0.3

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8 0
3 years ago
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3 years ago
Why is the ratio of two integers always a rational number?
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Answer: Rational numbers are numbers that can be written as a ratio of two integers.

Step-by-step explanation:

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3 years ago
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