Answer:
y coordinate of the solution to the system is -5
Step 1
<u>Find the value of s</u>
we know that
In a Rhombus all sides are congruent
so
equate AB and CD
Combine like term
<u>The answer Part a) is</u>
the value of s is
Step 2
<u>Find the value of side AB</u>
substitute the value of s
Remember that the sides are congruent
therefore
<u>the answer Part b) is</u>
The length of the side BC is
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:
117 cups
Step-by-step explanation:
two dozen cookies calls for 234cups of sugar
2 dozen cookies = 234 cups of sugar
How much sugar is needed to make one dozen cookies?
Let x = cups of sugar needed
1 dozen cookies = x cups of sugar
2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar
2 : 234 = 1 : x
2 / 234 = 1 / x
Cross product
2*x = 234 * 1
2x = 234
x = 234 / 2
= 117 cups
Your options are wrong because none corresponds with the answer