Answer:
3
Step-by-step explanation:
Note that
(
)² = a, for example
(
)² = 10² = 100 ← value inside the radical
Thus
(
)² = 3
If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).
<h3>What is a rectangle?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.
Then the length of the rectangle will be
area = length × width
Then we have
Area = 45x² − 42x − 48
Then the factor of the polynomial will be
Area = (5x − 8)(3x + 2)
Then the length of the rectangle will be (3x + 2).
More about the rectangle link is given below.
brainly.com/question/10046743
Balls are good that’s the answer
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Answer: 
<u>Step-by-step explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
<em />
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
Note: 12² + opposite² = 20² → opposite = 16
Note: adjacent² + 5² = 6² → adjacent = √11
Note: adjacent² + 7² = (13√2)² → adjacent = 17
