The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
Answer:
The sine ratio is the ratio between the opposite side over hypotenuse. The cosecant ratio is the ratio between the hypotenuse over the opposite side, therefore cosecant is the reciprocal of sine.
To find a missing angle using sine, you would need to use the inverse of sine. For example, if the sine was 
, to find the angle you would need to find sin⁻¹ of which is x = sin⁻¹ (0.75). Therefore x equals approximately 49°.
Answer:
(-5p + 2)(-p + 10)
Step-by-step explanation:
-52p + 20
(-5p + 2)(-p + 10)
You can double check this by using the distributive property..
-5p * -p = -5p^2
2*-p = -2p
10*-5p = -50p
10*2 = 20
-5p^2 + -2p + -50p + 20
Now we combine like terms and simplify
-5p^2 -52p + 20
So, we are correct
Answer:
He has 5 ways to arrange them in a array.
Step-by-step explanation:
colby has 16 jars of spices.He wants to arrange them in arrays.
<em>An array is a systematic arrangement of similar objects, usually in rows and columns.</em>
So, the choices he could have to form an array is the possible number of ways he can arrange them in rows and columns and in table it could be seen as:
S.no. Number of rows Number of columns
1 16 1
2 8 2
3 4 4
4 2 8
5 1 16
Hence, the number if arrays he could use to arrange them is 5.
The correct answer is: [A]: " t = 15n " .
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