<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).
We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.
Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
Answer:
d-5=2s
Step-by-step explanation:
Diego's age d is 5 more than 2 times his sister's age s.
The equation used to represent it is :
d = 2s +5
We need to find the equivalent equation for the above equation.
If we take 5 to LHS of the equation, it will become -5 such that,
d-5=2s
Hence, option (b) is the equivalent equation.
Answer:
32.761 %
Step-by-step explanation:
Percentage is any fraction or ration expressed as a fraction of 100.
Percentage is calculated using formula
If A has to be expressed as percentage of then it can be expressed as
A/B * 100 in percentage form .
For given problem price paid for sweater = $36.20
original price of sweater = $90.50
Problem is to express percentage of price for which sweater was on sale for.
It can be mathematically expressed as
what is 36.20% of 90.5
percentage of price for which sweater was on sale for = (price paid for sweater/original price of sweater ) * 100
It can be mathematically expressed as
what is 36.20% of 90.5
=> ($36.20/$90.50 )* 100= 32.761.
32.761 % of the original price sweater was on sale for.
For better understanding ,It can also be said that that if the original price of sweater had been $100, then you would have got it at $32.761 .
Answer:
students preferred alternative music
= 461/1940 ×100%=23.7%
<span>The <u>correct answer</u> is:
This is the average number of days the house stayed on the market before being sold for $150,000.
Explanation<span>:
f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).
We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.
This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.</span></span>
