Answer:
This question is incomplete, it lacks the diagram illustrating the circle and the options. The diagram has been attached. These are the options:
a. 10 pie cm2
b. 16 pie cm2
c. 356 pie cm2
d. 676 pie cm2
The answer is D
Step-by-step explanation:
The area of a circle is calculated by using the formula: πr^2, where r is the radius
According to the diagram in the attachment consisting of two circles; a small circle of radius GY=10cm and a large circle of radius YX=16cm.
Hence, Marco wants to create a new circle by using a radius GX i.e. the length of the line GX, which can be derived by adding GY + YX i.e. 10cm + 16cm = 26cm.
Therefore, GX is 26cm, meaning the radius of Marco's new circle will be 26cm.
To find the area of this new circle, we use the formula: πr^2, where r = radius = 26cm
Hence, Area = π × 26^2
26^2 = 26 × 26 = 676
π × 676
= 676π
Area of new circle= 676π squarecentimetres(cm2)
Answer:
y + 4 = 4/3(x - 6).
Step-by-step explanation:
The point-slope formula is shown below. We just need to find the slope.
(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3
m = 4/3, y1 = -4, and x1 = 6.
y - (-4) = 4/3(x - 6)
y + 4 = 4/3(x - 6).
Hope this helps!
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!