Answer:
x=5
Step-by-step explanation:
Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.
Since the two legs have equal length, they are both x. Using the pythagorean theorem:
(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).
You can add (x^2) and (x^2) because they are the same terms (x squared).
Simplifying like so gives you:
2x^2=50
Dividing by two on both sides:
x^2=25
Taking the square root of both sides:
x=5
Answer:
(–3, –4)
Step-by-step explanation:
Given pair of linear equation
-4x+y = 8
=> y = 8 + 4x _____(1)
x - 5y = 17 (2)
substituting value of y from equation 1 in equation 2 we have
x - 5(8 + 4x) = 17
=> x - 5*8 -5*4x = 17
=> x - 40 - 20x = 17
=> -40 - 19x = 17
=> -19x = 17+40 = 57
=> x = 57/-19 = -3
Thus, x = -3
y = 8 + 4x = 8 +4(-3) = 8 -12 = -4
Thus, y = -4
Hence, paired solution for given equation is (–3, –4).
Answer:
For x^2 + 5x - 14 = 0
x1= -7, x2 = 2
For x^2 + 5x + 6 = 0
x1 = -3, x2 = -2
Step-by-step explanation:
Pls see attached....
Reason number 1 (before) is that you could contaminate your samples if you have foreign material on your hands.
Reason number 2 (after) is that you could spread<span>/or ingest dangerous chemicals or substances that you have handled in the lab.</span>
2(3t - 1) - 5(t - 1)
2(3t) - 2(1) - 5(t) + 5(1)
6t - 2 - 5t + 5
6t - 5t - 2 + 5
t + 3