9514 1404 393
Answer:
F
Step-by-step explanation:
If the circle is tangent to the x-axis at 4, the center lies on the line x=4.
If the circle is tangent to the y-axis at 4, the center lies on the line y=4.
If the center of the circle is (x, y) = (4, 4) and it is tangent to the axes, then the radius is 4.
The standard-form equation of the circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
For the values (h, k) = (4, 4) and r = 4, the equation is ...
(x -4)² +(y -4)² = 16 . . . . . . matches choice F
Hi there!
f(x) = 7x - 4
Rewrite f(x) with y:
y = 7x - 4
Swap the x and y variables:
x = 7y - 4
Solve for y:
x + 4 = 7y
y = (x + 4)/7
5 * 198 = 990
198
* 5
-------
990
This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
<u>Symbol:</u> </span>→
<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.
</span>So let's analyze each case:<span>
Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.
</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>
We can rewrite this in a standard form of the conditional operator, that is:
A→B: If you win the championship match then you will receive the trophy
A: You win the championship match
B: You will receive the trophy
<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy
Case 2.
According to the problem we have:
<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match
We can rewrite this in an standard form of the conditional statement, that is:
A→B: If you will receive the trophy then you win the championship match
Case 3.
According to the problem we have:
<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy
We can write this in a conditional statement:
A→B: If you do not win the championship match then you will not receive the trophy
Case 4.
According to the problem we have:
<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:
A: You win the championship match
B: You will receive the trophy
We can write this in a conditional statement:
A→B: If you win the championship match then you will receive the trophy
Case 5.
According to the problem we have:
<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match
We can write this in a conditional statement:
A→B: If you will not receive the trophy then you do not win the championship match.
