The answer is 1414. Multiply the tickets and the dollars for both Andrea and Nick. Then add both there totals.
First, we want to ask "What number divided by 7 <em>is </em>800?" That'll give us a jumping off point to answer the rest of the question.
If dividing some number by 7 gets us 800, that means that <em>multiplying </em>800 by 7 should get us back that number. We find that 800 x 7 = 5600. The first number higher than 5600 is 5601, which, when divided by 7, gets us about 800.14, a number greater than 800. So the lowest whole number that makes the inequality ? ÷ 7 > 800 work is 5601.
Angle AGD is a right angle which equals 90 degrees.
Angle FGD would be 90-73 = 17 degrees.
Angle X is a vertical angle to FGD, which means they are the same.
Angle X = 17 degrees.
Answer:
The vertex is (-3,1)
Step-by-step explanation:
Here, we want to write the given function in the vertex form
Mathematically, we have this as;
y = a(x-h)^2 + k
where the vertex is (-h,k)
Thus, we have
Let us divide the coefficient of x by 2, square and add to both sides ; prior to this, we will equate y to 0
Thus, we have it that;
0 = x^2 + 6x + 10
x^2 + 6x + 10 + 9 = 9
x^2 + 6x + 9 = 9-10
x^2 + 6x + 9 = -1
(x + 3)^2 = -1
(x + 3)^2 + 1 = 0
So the vertex here as represented by (-h,k) is;
(-3,1)
