Answer:
C
Step-by-step explanation:
Calculate AB using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 1, - 3) and (x₂, y₂ ) = B(11, - 8), thus
AB = ![\sqrt{(11+1)^2+(-8+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2811%2B1%29%5E2%2B%28-8%2B3%29%5E2%7D)
= ![\sqrt{12^2+(-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B12%5E2%2B%28-5%29%5E2%7D)
=
=
= 13 → C
<u>Green</u>
<u>Radius:</u> 16/2=8cm
<u>Diameter: </u>16cm (given)
<u>Formula:</u> I'm not sure what formula this chart is asking for. But assuming it's the formula for circumference that would be 2πR (2 times pi (3.14) times the radius). If this isn't the formula the chart is looking for let me know what formula you need and I'll try to help you out with that
<u>Circumference:</u> 2pi Radius=2(3.14)8=50.24 cm
<u>Yellow</u>
<u>Radius:</u> 11/2=5.5
<u>Diameter:</u> 11cm (given)
<u>Formula:</u> 2πR
<u>Circumference:</u>2 pi R=2(3.14)5.5 =34.54 cm
<u>Pink</u>
<u>Radius</u>: 1 cm
<u>Diameter:</u> 2 cm
<u>Formula: </u> 2πR
<u>Circumference:</u> 2piR=2(3.14)1=6.28 cm
Hello there!
y + 15 < 3
Start by subtracting 15 on both sides
y + 15 - 15 < 3 - 15
y < -12
As always, it is my pleasure to help you guys on here. Let me know if you have any questions.
Answer:
a) Not parallel to y-axis
b) Not parallel to y-axis
c) Parallel to y-axis
Step-by-step explanation:
The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.
The equation of line: ![(y-y_1) = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%28x-x_1%29)
a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.
It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and (
,12).
b) The line joining the points
is not parallel to y-axis.
Equation of line: ![5y - 7.5x = 5.5](https://tex.z-dn.net/?f=5y%20-%207.5x%20%3D%205.5)
Another points that could be lie on this line are (0.6,2) and (0.25,1.475)
c) The line joining the points
is parallel to y-axis because points have the same x-coordinate.
Another points that could be lie on this line are (0.8,2) and (0.8,2.1)