Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
And complete the square for the first term:
Factor and simplify:
We can rewrite our equation as:
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
12
Step-by-step explanation:
To find constant: y=k/x
the constant there is only 12
the answer is 12
y=12
---
1
y=12
Answer:
<em>p = 14t</em>
Step-by-step explanation:
y = kx
The rate k = 210 ÷ 15 = 14 gel pens per minute
"p" is number of pens, "t" is number of minutes
<em>p = 14t</em>
Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:
So the number of total combinations is 35.
Answer: 13
Step-by-step explanation:
Let the number that in thinking of be represented by x.
I multiply by 11 and add 22 will give the same answer as multiplying by 4 and adding 113. This.csn be firmed into an equation as:
(11 × x) + 22 = (4 × x) + 113
11x + 22 = 4x + 113
Collect like terms
11x - 4x = 113 - 22
7x = 91
x = 91/7
x = 13.
The number is 13
