The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-
2x^2 - 4x - x + 2 = 0
now factor by grouping
2x(x - 2) - 1(x - 2) = 0
(x - 2) is common so
(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.
The last example is solved in the same way.
Answer:
the answer is G
which is 6.2*10 to the 9th power.
Step-by-step explanation:
In scientific notation you must leave one digit to the place value of ones
so that one digit is 6
So ue come up with 6.2 when ue eliminate all other zeros and end the decimal point between 6 and 2 and that way you have 6.2*10 to the 9th power
Answer:
x = 122
Step-by-step explanation:
x = 122 because of alternate interior angles
<span>1) What is the equation for the line?
</span>slope = 16/2 = 8
answer
equation
y = 8x
<span>2) What is the equation of a line with a slope of 3 and a point (3, 1) on the line?
Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.
y - 1 = 3(x - 3)
y - 1 = 3x - 9
y = 3x - 8
answer
</span>y = 3x - 8
0.45 i think just into fractions
