Answer:
x = -1
Step-by-step explanation:
Given the point, (-1, 2), and that the slope is <u><em>undefined</em></u>.
The standard linear equation of vertical lines is <em>x</em> =<em> a</em>, where the x-intercept is (<em>a</em>, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of <u>division by zero</u> (which is an <em>undefined operation</em>).
Since the slope is <u>undefined</u>, then it is <u>not possible</u> to create a linear equation in either the slope-intercept form, or point-slope form.
Therefore, the equation of a vertical line given the point, (-1, 2) is <em>x</em> = -1.
Answer:
Slope=1, y-intercept=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-4))/(0-(-3))
m=(-1+4)/(0+3)
m=3/3
m=1
y-(-4)=1(x-(-3))
y+4=x+3
y=x+3-4
y=x-1
y=mx+b where m=slope and b=y-intercept
so you have slope of 1 and y-intercept of -1
At the end of the year, Juan has 52.71 more than 4 times his balance at the beginning. Okay, let's set this up.
4x + 52.71
(4 times) (52.71 more)
His ending was 172.90, so
4x + 52.71=172.90
4x= 120.19
x= 30.05
He had $30.05 at the beginning of the year.
Given : Diameter of the right circular cone ==> 8 cm
It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)
Given : Volume of the right circular cone ==> 48π cm³
We know that :
![\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}](https://tex.z-dn.net/?f=%5Cbigstar%20%5C%20%5C%20%5Cboxed%7B%5Ctextsf%7BVolume%20of%20a%20right%20circular%20cone%20is%20given%20by%20%3A%20%24%5Cpi%20r%5E2%5Cdfrac%7Bh%7D%7B3%7D%24%7D%7D)
where : r is the radius of the circular cross-section.
h is the height of the right circular cone.
Substituting the respective values in the formula, we get :
![\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%20%5Cpi%20%5Ctimes%20%284%29%5E2%20%5Ctimes%20%5Cdfrac%7Bh%7D%7B3%7D%20%3D%2048%5Cpi%7D)
![\mathsf{\implies 16 \times \dfrac{h}{3} = 48}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%2016%20%5Ctimes%20%5Cdfrac%7Bh%7D%7B3%7D%20%3D%2048%7D)
![\mathsf{\implies \dfrac{h}{3} = 3}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%20%5Cdfrac%7Bh%7D%7B3%7D%20%3D%203%7D)
![\implies \boxed{\mathsf{h= 9 \ cm}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cboxed%7B%5Cmathsf%7Bh%3D%209%20%5C%20cm%7D%7D)
<u>Answer</u> : Height of the given right circular cone is 9 cm
Answer:
Each interior angle = 180° -60° = 120°
Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)
s= 180° x 4
s= 720°
now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides
6.
720° divided by 6 is equal to 120°