Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer:
c = 50
Step-by-step explanation:
We can set up an equation using the vertical angles theorem.
97 = 2c-3
100 = 2c
c = 50
Answer:
second one down
4 860 000 000 000
Step-by-step explanation:
count out 12 zeros after the 4 and you will find the one in decimal notation
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
Angle a +angle b = 180 degrees
angle a + angle a + 30 = 180
2*angle a = 150
angle a = 75degrees
angle b = 75+30 = 105 degrees
now, angle b +angle c = 180
so, angle c = 180-105 = 75 degrees