Answer:
1.40
Step-by-step explanation:
Hello,
(-5x-3)(-5x+
3) = (-5x)² - 3²
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
Given:
The speed, s, is measured in miles per hour, and distance, y, is measured in yards.
The regression line is given by
...(i)
To find:
The slope and y-intercept of the regression line.
Solution:
The general form of linear regression line is
...(ii)
where x is variable. In the given equation the variable is denoted by s.
On comparing (i) and (ii), we get
It means slope is 52.45 and y-intercept is 4.17.
The slope, b = 52.45, indicates that the distance increases by 52.45 yards for every one mile per hour of speed.
The y-intercept, a = 4.17, is the distance estimated by this model if the speed is zero miles per hour.
Therefore, the correct option is A.
Answer:
50%
Step-by-step explanation:
Half of 68 is 34. We can see that only 34 showed up, making it a 50 percent decrease
