Recall the slope intercept form of an equation is:
y = mx + c, where m is the slope and c = vertical intercept.
y + 2 = 5x + 4
y + 2 = 5x + 4
y = 5x + 4 - 2
y = 5x + 2
So the slope intercept form is y = 5x + 2
Hope this helps.
X=11 because u Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,
After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',
Since, 
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
Answer:
48
Step-by-step explanation:
L = Length W = Width H = Height B = Base
8L x 4W = 32
4B + 4H = 8
4B + 4H = 8
8 + 8 = 16
16 + 32 = 48
(MEANS A LOT FOR A BRAINLIEST - TRYING TO REACH GENIUS)
;)
