Answer:
B. Both functions are increasing, but function f is increasing faster.
Answer:
length 60 feet
length 2=60 feet
width 1=30feet
width 2=30feet
those is because there is 4 sides to a rectangle
Step-by-step explanation:
because the length is twice the width, 2x 30=length
Answer: y = -2x + 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1, that is , if 
is the slope of the first line and 
is the slope of the second line , if the two lines are perpendicular , then = -1
The equation of the line given :
y = 1/2x - 1
comparing with the equation of line in slope intercept form
y = mx + c , where m is the slope and c is the y - intercept , it implies that
= 1/2
Therefore :
= -2
To find the equation of the line with slope -2 and passes through the point ( 3 , 4 ) we will use the formula
= m (
)
y - 4 = -2 ( x - 3 )
y - 4 = -2x + 6
y = -2x + 6 + 4
y = -2x + 10
Answer:
The correct answer is x = 3 and y = 2.
Step-by-step explanation:
There are many ways to solve systems of equations like this, but I'm going to use substitution. This means taking the value of y given by the second equation and plugging it into the first equation. This is modeled below:
2x - y = 4
2x - (-2x+8) = 4
Now, we can simplify the left side of the equation.
2x + 2x - 8 = 4
4x - 8 = 4
We should add 8 to both sides as the next step.
4x = 12
Now we can divide by 4.
x = 3
To solve for y, we can substitute this value found for x back into either one of our original equations.
y = -2x + 8
y = (-2*3) + 8
y = -6 + 8
y = 2
Therefore, the correct answer is x = 3 and y = 2.
Hope this helps!
Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of 
, we have:
