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Nata [24]
2 years ago
12

Point T has coordinates (-3, 4). If it was reflected over the x-axls, what were the coordinates of its pre-image?​

Mathematics
1 answer:
kotykmax [81]2 years ago
7 0

Answer:

(3,4)

Step-by-step explanation:

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One number is five less than a second number. Five times the first is 15 more than 6 times the second. Find the numbers
Shalnov [3]

Answer:

x = -45, y = -40

Step-by-step explanation:

Based on the first clue, we find out that

x + 5 = y

5x = 6y + 15

We can re-write the first equation to x = y - 5.

Therefore, the second equation can also be written as 5(y - 5) = 6y + 15

This can be simplified to 5y - 25 = 6y + 15

We can subtract 6y from each side, and add 25 to each side;

5y - 6y = 15 + 25

Therefore, -y = 40

Therefore y = -40.

Now let's plug this back into the original equation, to get : x  + 5 = -40

x=-45

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2 years ago
Which integer represents 100 feet below sea level
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Write the slope-intercept form of the equation of the line through the given point with the given
gizmo_the_mogwai [7]

Step-by-step explanation:

18. y-(-2) = -6(x-2)

y+2 = -6x+12

y = -6x+12-2

y = -6x+10

19. y-(-4) = -½(x-4)

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y = -½x-2

8 0
2 years ago
Describe the expression (4x÷2)-9y
sertanlavr [38]
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Verify the following trig identities​.
bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = \frac{1}{sinx}

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0
3 years ago
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