Always true
Simplify the equations. Combine like terms. 5x - 11 + 3x = 2 + 8x -13
8x - 11 = 8x - 11
Because the equation is true, always true is your answer, because there can only be one outcome.
Hope this helps
Answer:
y = 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (5, 1)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 1), then
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
Answer:
See below.
Step-by-step explanation:
54.
The radius of the small circles is x.
The radius of the large circle is 2x.
Area of large circle:
πr² = π(2x)² = π4x² = 4πx²
Area of 1 small circle:
πr² = πx²
Area of 2 small circles:
2πx²
shaded area = area of large circle - area of 2 small circles
shaded area = 4πx² - 2πx²
shaded area = 2πx²
57.
The radius if the circle is x√2.
The side of the square is 2x.
Area of circle:
πr² = π(x√2)² = 2πx²
Area of square:
s² = (2x)² = 4x²
shaded area = area of circle - area of square
shaded area = 2πx² - 4x² or (2π - 4)x²
This is not a math problem, i think. you should post it on biology.
the answer is e.
i'd like to explain it to you, but sorry, i can't, because i'm not a native english speaker. i can't explain such a difficult problem in english.
Let's say 
. Let's find point 
so that we can find 
.
- Leah walks 40 yards south.
- Leah walks 60 yards west.
- Leah walks 10 yards north.
- Leah walks 20 yards east.
We have found that 
.
Now think about this scenario visually. We started at the center of something, which we call point 
, and then started moving around until we got to point . We can then form line between the points. However, realize that we can actually make a triangle. Just think of one of the legs as part of the x-axis and the other leg as part of the y-axis.
We can find the length of these parts, which is simply the absolute value of the coordinates of point . It may be a little hard to think about, but essentially, we can form a triangle with sides that consist of part of the x-axis, part of the y-axis, and . We also know that the lengths of the legs are 40 and 30.
Since we are given the two lengths of the legs on the triangle and trying to find the length of the hypotenuse, we can use the Pythagorean Theorem. This states:
and 
are the lengths two legs of the triangle
is the length of the hypotenuse
Thus, substituting in our values, we find:
The length of is 50.
