Answer:
64 cm^2
Step-by-step explanation:
SA = s^2 + 2sl
= 4^2 + 2(4)(6)
= 64 cm^2
The slope is (B) -5/4.
<h3>
What is a slope?</h3>
- The slope is the inclination of a line relative to the horizontal as a numerical value.
- The slope of any line, ray, or line segment in analytic geometry is the ratio of the vertical to the horizontal distance between any two points on it ("slope equals rise over run").
To find the slope:
- We're going to assume that we don't mean, y = 45x -3; which has a perpendicular line with a slope of -1/45.
- Rather, we're going to assume that we mean, y = 4/5x -3; so that the slope of the perpendicular line is -5/4.
- Similarly, we're going to assume that the answer choices are supposed to represent fractions so that the above slope matches choice B.
- If the slope of a line is m, the slope of the perpendicular line is -1/m.
- The reciprocal of a fraction is the fraction that has the numerator and denominator swapped, -1/(4/5) = -5/4.
Therefore, the slope is (B) -5/4.
Know more about slopes here:
brainly.com/question/3493733
#SPJ4
The complete question is given below:
What is the slope of a line that is parallel to the line whose equation is y=45x−3?
A. −4/5
B. −5/4
C. 5/4
D. 4/5
Let's break down the problem step by step.
The sum of 4 times a larger integer can be summarized as:
4x
9 times a smaller integer can be summarized as:
9y
We know that we're adding the two expressions because the beginning of the problem has sum. We also know the sum is 3.
So, we get:
4x + 9y = 3
Continuing with the problem, we have the difference between 8 times the larger
8x
We also have 3 times the smaller
3y
This part of the problem mentions the difference between these expressions so we subtract and we know the difference is 27.
8x - 3y = 27
Now, we have both equations so we can solve for either x or y.
4x + 9y = 3
8x - 3y = 27
It's easier to multiply the 4x equation by 2 to have both equations resulting in 8x
(4x + 9y = 3) * 2
We get:
8x +18y = 6
So, we now have:
8x + 18y = 6
8x - 3y = 27
We can subtract the x to get y by itself. We get:
21y = -21
Solve for y and we get:
y = -1
Since we know what y is, we can plug that in and solve for x. It doesn't matter which equation you plug y back in. I'm gonna use the second equation.
8x - 3y = 27
8x - 3 (-1) = 27
8x + 3 = 27
8x = 24
x = 3
So, we now know that
y = -1
x = 3
Hope this helped! If you have any questions then please leave a comment!
Not sure about this but, is it a line?
The correct answer for this item and the other way to write this rule is through this:
(x , y) -> (x - 8 , y + 4)
According to the rule T - 8, 4(x,y) , a triangle on a coordinate plane is translated that is why we end up getting the answer shown above.