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Iteru [2.4K]
3 years ago
13

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
1) (3,2)
2) reflection across x-axis then 1 unit down
3) reflection across y-axis then 2 units left
dedylja [7]3 years ago
6 0

(-x,y)->(-y,x) It would be (-3,-2)

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The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
                     = 41
7 0
3 years ago
kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will
Kaylis [27]
In exponential form it’s: 125=60(1.05)^x
So it should be around 15.043 weeks
If you have to round up to then next week then the answer is 16 weeks she will have enough money to buy the bike. I’m
5 0
2 years ago
Hey can anyone pls answer these math problems!!
Zepler [3.9K]

Answer:

1={5 and 3} 2={0} 3={0.209 and 4.791} 4={-3 and 4} 5={1 and 9} 6={-4.303 and -0.697}

Step-by-step explanation:

Your probably confused on what a, b, and c means.

The problems are written like this.

ax^2+bx+c=0

That formula finds the zeros.

For example 1:

x^2-8x+15=0\\ax^2-bx-c\\a=1\\b=-8\\c=15

Then use the formula

x=\frac{-b+-\sqrt{b^2-4ac} }{2a} \\\\x=\frac{-(-8)+-\sqrt{-8^2-4(1)(15)} }{2} \\x=\frac{8+-\sqrt{64-60} }{2} \\\\x=\frac{8+-2}{2}\\

If plus then 5, if minus then 3

CHECK:

x^2-8x+15=0\\5^2-8(5)+15=0\\25-40+15=0\\0=0\\3^2-8(3)+15=0\\9-24+15=0\\0=0

Hope this helps you understand how to do this by yourself.  Now to do the rest ;-;

5 0
2 years ago
Simplify this expression.
nexus9112 [7]

Answer:

C

Step-by-step explanation:

If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:

6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36

4 0
3 years ago
Read 2 more answers
HElp just help me fast htough pleas
MrRissso [65]

Answer:m 1/4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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