<u>ΔACB</u> <u>ΔCDA</u>
AC² + BC² = AB² AD² + CD² = AC²
BC² = AB² - AC² BC² + CD² = AC² (AD=BC is given)
BC² = AC² - CD²
AB² - AC² = AC² - CD² (both sides were = to BC²)
AB² + CD² = 2AC²
(3)² + (√2)² = 2AC² (AB=3 and CD=√2 were given)
9 + 2 = 2AC²
11 = 2AC²
= AC²
= AC
= AC
Answer:
Step-by-step explanation:
The given system of equations is expressed as
3x + y = 9 - - - - - - - - - - - - - - -1
3x = 9 - y - - - - - - - - - - - - - -2
To apply the method of elimination, we would rearrange equation 2 so that it would take the form of equation 1. Therefore, we would add y to the left hand side and the right hand side of the equation, it becomes
3x + y = 9 - - - - - - - - - - - - - - - - -3
Subtracting equation 3 from equation 1, it becomes
0 = 0
The equations have infinitely many solutions because if we input any values of x and y that satisfies the first equation, those values will also satisfy the second equation.
If <span>∆QRS≅∆TUV, Their corresponding sides would be equal so,
QS = TV
5v + 3 = 6v - 9
6v - 5v = 3 + 9
v = 12
Now, QS = TV = 5(12) + 3 = 60 + 3 = 63
In short, Your Answer would be Option B
Hope this helps!</span>
Answer:
Step-by-step explanation:
A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.
This means that the fraction above could also be expressed as;
If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.
Answer:
x-intercept(s): (0,0)
y-intercept(s): (0,0)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
0 = -x
To find the y-intercept(s), substitute in 0 for x and solve for y
y = -(0)
