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Alex73 [517]
2 years ago
5

What is the equation of the line passing through the point (4, 5) that is parallel to the line with the equation

Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer:

y=2x-3

Step-by-step explanation:

1. find the slope

6x-3y=21

-3y=-6x+21 divide both sides by -3

y=2x-7

slope is 2

2.y-5=2(x-4)

  y-5=2x-8

  y=2x-8+5

  y=2x-3

PARALLEL lines have the same slope

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The sum of two numbers is 12<br> and their product is 32.<br> What are the two numbers ?
kumpel [21]

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

8 0
2 years ago
I need help:/ I’m in college
lesantik [10]

Step-by-step explanation:

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3 0
3 years ago
Show that (A | B) U (B \ A) = (AUB) \(B n A).
trasher [3.6K]

Answer:

We have to prove,

(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).

Suppose,

x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,

⇒ x ∈ A \ B or x ∈ B \ A

⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A

⇒  x ∈ A or x ∈ B and x ∉ B and x ∉ A

⇒ x ∈ A ∪ B and x ∉ B ∩ A

⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )

Conversely,

Suppose,

y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.

⇒ y ∈ A ∪ B and x ∉ B ∩ A

⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A

⇒  y ∈ A and y ∉ B or y ∈ B and y ∉ A

⇒  y ∈ A \ B  or  y ∈ B \ A

⇒  y ∈ ( A \ B ) ∪ ( B \ A )

Hence, proved......

7 0
3 years ago
Find the area of the last part. ?)<br> 3<br> 2<br> 1/2<br> 1/3<br> 2/3<br> 3/2
nika2105 [10]
<h2>Question:</h2>

A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .

<h2>Solution:</h2>

we know that the area of a rectangle is the product of it's dimensions

so, the area of the given rectangle would be

so ,the measure of the last part would be

\frac{1}{3}  \times \frac{1}{2}  \\  = \frac{1}{6}

3 0
2 years ago
A ladder 3m long leans against a wall. It reaches 2m up the wall. What angle does the ladder make with the ground?
lisabon 2012 [21]
Here. I drew a triangle just for this problem. :) You can find it in attachments. 

To find the angle, we must use the sine function. To find the angle, we must know the sine of the angle first. The formula for the angle we are trying to find is: 

(Forgot to mention, let the angle = x)

sinx= \frac{2}{3}

= sinx = 0.3333....

Knowing this, we can now derive that:

x=sin^{-1}0.3333

Using our scientific calculators, we find that: 

x=19.47122°

Which is our final answer. You may round accordingly. 

Thank you, and I hope that helped. :)

7 0
2 years ago
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