Answer:
Therefore,
Step-by-step explanation:
Given:
In Right Angle Triangle PQR at ∠Q = 90° such that
RQ = 3 ....Adjacent side of angle R
PQ = 8 ....Opposite side of angle R
To Find:
m∠R = ?
Solution:
In Right Angle Triangle PQR, Tan Identity,
Substituting the values we get
Therefore,
Answer: The vertex is (-3, 2)
The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2
I rewrote x+3 as x - (-3)
Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k
Note how
a = -4
h = -3
k = 2
So the vertex is (h,k) = (-3, 2)
Part A : You want to arrange the larger negative numbers to the left, so the number farthest left would be -7, followed by -6, -5, -4, and then 0. Then 2 is next, followed by 3. So the answer would be : -7, -6, -5, -4, 0, 2, 3.
Part B : So on that day on January, it's saying the Minnesota's degree was -14 degrees Fahrenheit and New York was -5. And he's saying that New York is colder. This is incorrect because people often make this mistake when working with negative numbers. Think of the numbers on a number line, on the negative side, the farther you are away from zero, the colder it will be. The closer you are to zero on the negative side, the less colder it'll be. On the positive side, the farther you are away from zero, the hotter it will be. The closer you are to zero on the positive side, the more warmer, this is why he is incorrect.
Part C : It would be -61 degrees Fahrenheit, because as I mentioned earlier, the farther you are away from zero on the negative side, the colder it'll be.
Answer:
1 toast costs $0.30 and 1 egg cost $0.60
Step-by-step explanation:
Let price of 1 egg be 
and price of 1 toast be 
<u>"$1.50 for 2 eggs and one piece of toast":</u>
We can write 
<u>"$.90 for one egg and one piece of toast":</u>
We can write 
Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:
Now using the value of e (0.6) and putting it back in the first equation, we will get t:
Hence, 1 toast costs $0.30 and 1 egg cost $0.60
