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:
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Step-by-step explanation:
A line with slope m = -1/5 passes through the points (x, 7) and (11, 8). Find the value of x.
The slope of the line through these two points is found from the slope formula and is:
8 - 7
m = ----------- and the value of m is given as -1/5. Therefore,
11 - x
1
m = ----------- = -1/5
11 - x
Cross-multiplying, we get (1)(5) = -(11 - x), or 5 = -11 + x. Then x = 16
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Your answer is right
3x^2 + 13x + 4
Answer:
Step-by-step explanation:
It's number 5 if A player a value their piece as 25%, than player B will to because it was divide fair.
and number 3 player A must value their piece as exactly 25%
The correct answer is A Marie does not know how many cherries she has to share. She knows she is sharing her cherries equally with 3 friends