Answer:
B
Step-by-step explanation:
using Pythagoras' theorem in the right triangle, then
c² = a² + b² =
+ 
c² = (4 × 3) + (9 × 2) = 12 + 18 = 30
take the square root of both sides
c =
→ B
I'm assuming you need to find the equation of that line. If that's not what you need, you can stop here, because that's what I'm going to calculate.
When we're working with the equation of a line, we know it's easy to work with if it's in the form of a "slope / intercept" equation.
That's Y = (slope) · x + (y-axis intercept)
We already know the slope of this line, because the question gave it to us. The slope is ' 8 ' . So we know the equation will be Y = 8x + (y-intercept) .
OK. We also know a point on the line ... (4, 3).
That tells us: When x=4 on this line, y=3 .
Take the equation, and put this point into it.
Y = 8x + (y-intercept)
(3) = 8(4) + y-intercept
3 = 32 + y-intercept
Subtract 32 from each side:
-29 = y-intercept
So the equation of the line is: <em>Y = 8x - 29</em>
Answer:r = 2.81 centimeters
Step-by-step explanation:
The area of this circle can be found using the formula
A=πr^2
Where r = radius of the circle
π is a constant whose value is 3.14
We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula
r^2 = A/π
Taking square root of both sides of the equation,
r = √A/π
Since A = 25 and π = 3.14,
r= √25/3.14
r = 2.82166323992
Approximating to the nearest tenth of a centimeter,
r = 2.81 centimeters
Answer:
m = -1
c = 9
Step-by-step explanation:
<em>m</em> is slope, which is the coefficient of <em>x</em>
<em>c</em> is the y-int, which is the constant