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Dennis_Churaev [7]

3 years ago

8

The slope of a line that is parallel to each line whose equation is given

1 answer:

Kobotan [32]3 years ago

3 0

Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

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Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre

natta225 [31]

Answer:

10 rabbits

Step-by-step explanation:

Let us represent

Number of rabbits = x

Number of squirrels = y

Number of deer = z

Katniss caught three times as many squirrels as deer.

y = 3z

She also caught five less rabbits than squirrels.

y = x - 5

The total number of animals she caught is ten more than four times the number of deer caught.

x + y + z = 4 × z + 10

x + y + z = 4z + 10

How many rabbits did Katniss catch?

Number of rabbits = x

We make x subject of the formula

x + y + z = 4z + 10

x = 4z + 10 - y - z

y = 3z

x = 4z + 10 - 3z - z

x = 4z - z - 3z + 10

x = 4z - 4z + 10

x = 0 + 10

x = 10

Therefore, the number of rabbits Katniss caught is 10 rabbits

4 0

3 years ago

What's the opposite reciprocal of -2

Ierofanga [76]

t h e r e c i p r i c l e o f - 2 i s 2

7 0

2 years ago

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Advocard [28]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Solve the following using distributive property:327×105

Aliun [14]

Distributive Property:

The distributive property tells us how to solve expressions in the form of a(b + c).

$a(b+c) =a*b +a*c$

In this question we have to find two numbers that add up to give 105,

$105 =100+5$

Now replacing 105 by 100 + 5, rewriting the expression as :

$327 *105 = 327 (100+5)$

distributing 327 over 100 and 5

here a=327, b =100 and c=5

$327 (100+5) = 327*100 +327 *5$

$= 32700 + 1635$

Answer:

$327*105 = 34335$

4 0

2 years ago

What is the result of subtracting the secound equation from the first -4x-2y=-2 x-2y=9

crimeas [40]

Answer:

When we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

Step-by-step explanation:

Given

The first equation

$-4x-2y=-2$

The second equation

$x-2y=9$

Let us subtract the second equation from the first equation

$-4x-2y=-2$

$-$

$\:\underline{x-2y=9}$

$-4x - 2y - (x - 2y) = -2 - 9$

$-4x -2y -x + 2y = -2-9$

$-5x = -11$

divide both sides by -5

$\frac{-5x}{-5}=\frac{-11}{-5}$

Simplify

$x=\frac{11}{5}$

Thus, when we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

6 0

3 years ago