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DENIUS [597]
3 years ago
10

HELP 80 POINTS DUE SOON

Mathematics
2 answers:
melomori [17]3 years ago
8 0
Answer is a=1 have a good day!
IgorC [24]3 years ago
7 0

Answer:

a = 1

Step-by-step explanation:

The important point here is that both lines are <em>horizontal reflections</em> of each other. If we treat the line x = a as a kind of "mirror" for these lines, every point at the same y value on each line is going to be an equal horizontal distance from that "mirror". If that's confusing, think about how, as you pull your hand away from a mirror, your hand's reflection seems to go deeper into it. As you bring it closer, your reflection gets closer too. And when you're touching the mirror, it seems like your hand and its reflection are touching!

We want to find that "touching" point for the two lines, the <em>intersection</em>, because it'll tell us exactly where our "mirror" - more commonly called the <em>axis of symmetry</em> - is. The point of intersection of any two lines is the point where their equations are exactly equal to each other.

Our equations are y = 3x - 5 and y = 1 - 3x, so setting those two equal to each other and solving for x:

3x-5=1-3x\\6x=6\\x=1

This tells us that the two lines intersect at x = 1, which is exactly our axis of symmetry, so a = 1!

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If point P(2,-4) is reflected over the y-axis, determine the coordinates the image.
Katen [24]
Point P wold end up being ( -2,-4)
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3 years ago
To convert a measurement, Pete must move the decimal point to the left 4 places. This is a shortcut for an operation. Which oper
monitta
The operation applied is division.

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3 years ago
Read 2 more answers
Polly is trying to find the distance from her campground, which is located at (4, 3) on a map in the form of a coordinate grid,
skad [1K]

Answer:

600 meters

Step-by-step explanation:

5 0
3 years ago
Subtract (8x – 2) – (5х – 7)
professor190 [17]

Answer: 3x - 9

Step-by-step-explanation: To solve the expression (8x – 2) – (5х – 7) we will be using properties of operations. First, use the commutative and associative properties to move the values next to each other to combine like terms.

(8x – 2) – (5х – 7)

(8x-5x)+(-2-7)

3x-9

So, the subtracted answer is 3x - 9

7 0
3 years ago
Read 2 more answers
The senior class at South High school raised $80,000 from raffle tickets. Tickets cost $150 for a chance to win a Disney Vacatio
Effectus [21]

Answer:

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Step-by-step explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

__
y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.

8 0
2 years ago
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