Answer:
See below ~
Step-by-step explanation:
There are 4 possible solutions :
<u>m = 4</u>
<u>m = 5</u>
<u>m = 6</u>
<u>m = 7</u>
Answer:
f(x)= - 4 (
) + 3
Step-by-step explanation:
1. start with f(x)=a(
+q
2. in that vertex is (p,q) noticing that use given vertex(0,3) and change the equation/function --> f(x)=a(x-0)+3 --> f(x)=a(
+3
3. Then use the give point and substitute to find "a" value --> - 1 = a(
+3
--> - 1 = a + 3 --> a= - 4
4. put the "a" value into the #2. function/equation --> f(x)= - 4(
+3
Answer:
The area of the new circle is 
Step-by-step explanation:
Given:
radius of the circle = 3 in.
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared.
Let
z-----> the scale factor
x-----> the area of the enlarged circle
y-----> the area of the original circle
So;

In this problem we have
----> the scale factor
The area of the original circle is equal to

Now substituting value of y and solve for x we get;

Hence Area of the new Circle is 
Also The area of the enlarged circle is 16 times the area of the original circle.
Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
The slope of line m is also 2/7 because they are parallel so they have the same slope