Answer: (2.5 ; 1.5 )
Step-by-step explanation:
- The midpoint of the segment with the points
and
is calculated by the formula:
So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.

from there we need to combine like terms

now we have

From there, we will need to remove 100 from both sides, leaving us with

now we'll need to divide both sides by 2


We now know that the width is 580, or more simply put, x=580.
Finding the length will be the easy part, as we know that it is just 100 more than the width

If you want an easier way of finding the length, just subtract the width from the perimeter.

Leaving the final answer to be
Width = 580
Length = 680
Answer:
The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.
it is equal to (y - 4) = m(x - 0)
and now we look for the slope
m = y2 - y1/ x2 - x1
which can be directly substituted according to every line connecting each x value to a certain y value.
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
x = 4
Step-by-step explanation:
3(2x + 1) = 18 + 4x - 7
First distribute 3 by multiplying it by 2x and 1.
= 6x + 3 = 18 + 4x - 7
Then, add any like terms.
= 6x + 3 = 11 + 4x
-4x -4x
= 2x + 3 = 11
-3 -3
= 2x = 8
/2 /2
x = 4