Answer:
X = 5
Step-by-step explanation:
Here is what I am picturing (not to scale)
A ----------------B-----------C
We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).
With reference to the line, AB + BC = AC
So,
3x + 1 + 4x - 5 = 8x - 9
7x - 4 = 8x - 9
5 = x
Answer:
The equation is;
y = -3/4x + 12
Step-by-step explanation:
The general form for the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
With respect to this question;
4/3 is the slope and 1 is the intercept
If two lines are perpendicular, then the product of their slopes is -1
Mathematically;
4/3 * m2 = -1
m2 = -3/4
So to find the equation of this second line, we use the point slope form
This is;
y-y1 = m(x-x1)
y-4 = -3/4(x + 8)
y- 4 = -3/4x + 8
y = -3/4x + 12
Answer:
it isn't
Step-by-step explanation:
it isn't because the last digit isn't divisible by 2
Answer:
<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(16 • (a2)) - (22•32b2)
Step 2 :
Equation at the end of step 2 :
24a2 - (22•32b2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16a2 - 36b2 = 4 • (4a2 - 9b2)
Trying to factor as a Difference of Squares :
4.2 Factoring: 4a2 - 9b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + 3b) • (2a - 3b)
Final result :
4 • (2a + 3b) • (2a - 3b)
