Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
9514 1404 393
Answer:
109°
Step-by-step explanation:
You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.
This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.
The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...
∠PTR = ∠TQP +∠TPQ = 68° +41°
∠PTR = 109°
Answer:
it's the last one *25,000 J
Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3>Given</h3>
- d = 2.5 ft
- Distance = 1250 ft
<h3>To find</h3>
<h3>Solution</h3>
<u>Circumference of the wheel is the one full rotation:</u>
- C = πd = 3.14*2.5 = 7.85 ft
<u>Number rotations:</u>
<u>Correct option is</u> 159 times
-2x + 5 = -1
subtract 5 from both sides: -2x = -6
divide each side by -2: x = 3
plug in 3: 5(3)
multiply: 15
the value of 5x is 15.
