What is the image of (6,5) under a counterclockwise rotation of 180°?

Mathematics

1 answer:

Vlad [161]2 years ago

8 0

Answer:

(-6, -5)

Step-by-step explanation:

For a rotation of 180 degrees no matter the direction, you just flip the sign. In (6, 5) both are positive so you just change them to a negative.

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Multiply (9x + 2) (2x - 3). What is the product?

garik1379 [7]

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

7 0

2 years ago

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t

Hoochie [10]

Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped

5 0

2 years ago

If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$