(x-h)²+(y-k)²=r² is the equation of a circle with radius of r
so if x-h=4 and y-k=3 then
4²+3²=r²
16+9=r²
25=r²
sqrt both sides
5=r
radius is 5 units
Correct answer: y =
x + 2
To find out the slope, you would need to remember this slope formula:
. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
and
, and (0, 2) as
and
. Now we can plug these numbers into the slope formula to find out the slope:
m =
→
→
→ 
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) =
(3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m =
and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
Hello! I can help you with this!
4.
a. $100
b. $360
The formula to find the answers to these kinds of problems is p * r * t. The rate is always a decimal, so if the rate is 8%, you multiply by 0.08. If the rate is 12%, you multiply by 0.12, and so on.
5.
a. 12.8
b. 31 1/6
I got these answers by doing the distributive property. Replace each variable with the number it represents, multiply each by two and add them up to get these answers. For the fraction one, you can set up each fraction by finding the LCD before multiplying by 2, or you can find a fraction calculator online and add the numbers up.
6.
a. x = 20
b. x = 3
c. x = 13
d. x = 0
e. x = 4
f. x = 7
g. x = -3
I solved this problem by doing the distributive property and doing these kinds of problems step by step. It’s long to explain, but hopefully your teacher has good notes for you to look back on over these types of questions. If there is only a negative sign in front of the distributive property equation, then you basically distribute -1 to each number. In these long equations, combine like terms. You must do these kinds of questions right, because it’s easy to mess up and get wrong answers if you don’t do the right steps in order.
C, the higher a negative is, the lower its value gets
Answer:
mannn u figure it out
Step-by-step explanation: