Answer:

Step-by-step explanation:
The vertex form of an equation of a parabola:

- vertex
We have
vertex 

Therefore we have:

Substitute
and 

Finally:

Answer: 12cm
Step-by-step explanation:
5(7 + 23) because you are multiplying 7 + 23 by 5. This is a numerical expression because it has numbers and opperations. This is not an algebraic expression because there are NO variables. Hope this helps :)
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
What language are you writing this in? C? Javascript? Java? Are you allow to have parameters?
The general idea should be the same. Since 1 dollar = 100 pennies, we should write something like...
Java:
public static double numberofpennies(double dollars, double penny) {
double sum = 0;
// The amount of pennies that dollar represents
double converted = dollars * 100.0;
sum = converted + penny;
return sum;
}
Note: You should probably place this question under the category computer and technology instead of math. Also, this is just an example of what you could possibly write. What parameters you are allowed to use, what type (double? int? etc?) of pennies are you allowed to return, etc. depends on how you write it.