Answer:
5 km
Step-by-step explanation:
10/4 = 2.5
2 x 2.5 = 5
The location of R on the number line will be 15/7.
Number line:
Number line is used for the visual representation of numbers on a straight line.
Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
On a number line,
point S is located at – 3 and
point T is located at 9.
Ratio of S and T = 3:4
We need to find the location of point R on S and T.
According to the given details,
The distance from S to T
=> 3 + 9 = 12
Through this we know that,
=> SR + RT = 12 ---------------------(1)
Based on the ratio,
S/T = 3/4
Which is similar to,
SR/RT = 3/4
So,
SR = 3/4 RT -----------(2)
Apply the value of SR on equation (1),
Then
3/4RT + RT = 12
=> 7/4 RT = 12
=> RT = 12 x (4/7)
=> RT = 48/7
Now the location of point R,
=> OT - RT = 9 - 48/7
=> 15/7
Hence "The location of R on the number line will be 15/7".
To know more about Number line Here
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Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)
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➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2
To start with, we can use this:
2 (
r^2)
^^ This represents the surface area of the two circles
A cylinder also has a rectangle which is rolled to form the shape
As we know, the formula of a rectangles area is length x width
The width of the rectangle would be equal to the circumference of a circle
circumference of circle = 
The length of the rectangle would be the height of the cylinder
We can use this:

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.
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