Answer:
yes she can
Step-by-step explanation:
Answer:
a. all matter is made of atoms
b. atoms are indivisible and indestructible
c. atoms of given elements are identical in mass and properties
d. compounds are combination of 2> different types of atoms
2. it's called Planetary model
Answer:
1/3
Step-by-step explanation:
<em>Method 1.</em>
slope = rise/run
Rise is vertical distance.
Run is horizontal distance.
Find two points that are easy to read (on grid intersections):
(2, -1) and (5, 0).
Start at (2, 1). You need to go to (5, 0) by moving only vertically and horizontally. Go up 1 unit. That is a rise of 1. Now go right 3 units. That is a run of 3.
rise = 1
run = 3
slope = rise/run = 1/3
<em>Method 2.</em>
Use the slope formula and two points on the line.
Use points (2, -1) and (5, 0).
slope = 1/3
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
By simplifying this expression it comes down to be
24x-4
