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!
Answer:
b perpendicular
Step-by-step explanation:
all that is needed to do is the Y2 - y1 / X2 - X1 formula and then compare the two slopes making sure they are inverse opposites
Line 1) -7 -8 / -3 -2 X= 3X
Line 2) -3 - 0 / 12 - 3 X = -1 / 3X
Because they are inverse opposites of each other they are perpendicular had they had the exact same slopes they would have been parallels.
Answer:
Check below
Step-by-step explanation:
Hi,
We're dealing with linear functions. 
We have here the first function.
That's a linear function, with slope, and no linear coefficient since
But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.
Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one
A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but
Like
Answer:
It is 0.4524 rounded simply you can say 0.45
Step-by-step explanation:
if you multiply 2/7 by 6 which is 12/42 and 1/6 times 7 which is 7/42 and add both fractions you will get 19/42 which is 0.45 you can either say the answer is 0.45 or 19/42.
Answer:
I think its A
Step-by-step explanation:
