Answer:
Step-by-step explanation:
Let
So
Let
We are going to find
So we are evaluating
First step find f(-2)
Second step find f'(-2)
Third step plug in those values and apply PEMDAS!
So
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
3 7/8 Converted into decimal equals 3.875
7/8 = 0.875 + 3
Answer:
See step-by-step explanation
Step-by-step explanation:
Question 3: (4, -3)
Solving through elimination: Multiply the first equation by -3.
-3x+6y=-30
3x-5y = 27
Add. The x drops out.
y= -3
Substitute -3 in for y.
x-2y=10
x-2(-3)=10
x+6=10
x=4
Question 4: (2,5)
Solve through elimination: Multiply the second equation with 3.
3/2= 6/4
15/4x=7.5
x=2
3/2 (2) + y = 8
3+ y =8
y=5
Question 5: (6,4)
Use your graph to graph.
Slope of -1/3
Y-intercept of 6 (0,6)
X-intercept of 18 (18,0)
Slope of 3/2
Y-intercept of -5 (0,-5)
X-intercept of (
Question 6: (5, -7)
Solve by substitution:
Words of encouragement:
Good luck!