Answer:
0.33333333333
Step-by-step explanation:
Typing 1/3 in a calculator gives 0.333333333333
Answer:
<h2>m∠LMN = 26°</h2>
Step-by-step explanation:
Since ∠LMN and ∠PQR are complementary it means that the sum of their angles is 90°
To find m∠LMN , add both m∠LMN and m∠PQR and equate it to 90 to find x then substitute the value of x into the expression for m∠LMN
That's
m∠LMN + m∠PQR = 90
4x - 2 + 9x + 1 = 90
13x - 1 = 90
13x = 90 + 1
13x = 91
Divide both sides by 13
x = 7
From the question
m∠LMN = (4x-2)
m∠LMN = 4(7) - 2 = 28 - 2
We have the final answer as
<h3>m∠LMN = 26°</h3>
Hope this helps you
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
There is only 20 different ways you can do for 1 topping and 1 cheese for this question. Because every topping(10) on every cheese(2) gives you 20 different choices you can have a pizza.
