Step-by-step explanation:
Slope of line ST = Slope of line PQ = -3.
y = -3x + c
When x = 3, y = -1
=> (-1) = -3(3) + c, c = 8
Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.
1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
Answer:
15/4 and 45/4
Step-by-step explanation:
Let x and y be the numbers
x = 3y
x+ y = 15
Substitute the first equation in to the second equation
3y+y = 15
4y = 15
y = 15/4
x = 3(15/4)
x = 45/4
The two numbers are 15/4 and 45/4
9514 1404 393
Answer:
(a) plane NOU
Step-by-step explanation:
The points identified on plane <em>L</em> are {M, N, O, U}. All but point U are on the same line.
To identify the plane we need to name 3 non-collinear points. U must be one of them. The other two could by any two from the set {M, N, O}.
One possible name for plane <em>L</em> is plane NOU.
Answer:
1,765.32667
Step-by-step explanation:
5295.98 divided by 3 is 1,765.32667