Answer:
x=4
Step-by-step explanation:
<u>Step 1</u>:-
given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.
AB = 2x and BC = 3(x+1) and longest side AC= 17
by using Pythagoras theorem
![AC^2 = AB^2 + BC^2](https://tex.z-dn.net/?f=AC%5E2%20%3D%20AB%5E2%20%2B%20BC%5E2)
<u>step 2:-</u>
The hypotenuse is longest side is AC = 17 units
(17)^2 = 4x^2 +9(X+1)^2
on simplification, we will use formula
![(a + b)^2 = a^2 +2ab+b^2](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%5E2%20%3D%20a%5E2%20%2B2ab%2Bb%5E2)
289 = 4x^2 +9(x^2+2x+1)
![13x^2 +18x-280 = 0](https://tex.z-dn.net/?f=13x%5E2%20%2B18x-280%20%3D%200)
finding factors 70 X 52 = 3640
![13x^2 +70x-52x-280 = 0](https://tex.z-dn.net/?f=13x%5E2%20%2B70x-52x-280%20%3D%200)
![13x^2 -52x+ 70x-280 = 0](https://tex.z-dn.net/?f=13x%5E2%20-52x%2B%2070x-280%20%3D%200)
Taking common , we get
13x(x-4)+70(x-4)=0
x-4=0 and 13x+70=0
x=4 and ![13x =-70](https://tex.z-dn.net/?f=13x%20%3D-70)
x=4 and ![x=\frac{-70}{13}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-70%7D%7B13%7D)
we can not choose negative value so x value is 4
Final answer:- x = 4
<u>verification:-</u>
<u></u>
<u></u>
289 = 4(4)^2+9(4+1)^2
289 = 64 +9(25)
289=289
Answer:
Step-by-step explanation:
By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down
.
1. MOVING TO THE RIGHT:
From point A, move 11 units horizontally to the right to come to point B:
(-3+11, -1) = (8, -1)
2. MOVING TO THE LEFT:
From point A, move 11 units horizontally to the left to come to point B:
(-3-11, -1) = (-14, -1)
3. MOVING UPWARD:
From point A, move 11 units vertically upward to come to point B:
(-3, -1+11) = (-3, 10)
4. MOVING DOWNWARD:
From point A, move 11 units vertically downward to come to point B:
(-3, -1-11) = (-3, -12)
So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.
Answer:
add then subtract the anwser
Answer: 2 is not a function because 1 has no unique image
Step-by-step explanation:
Answer:
Step-by-step explanation:
2006053?