9514 1404 393
Answer:
7.2
Step-by-step explanation:
The problem statement tells you to use the distance formula to find the distance between points A and B. In order to do that, you need to read their coordinates from the graph. You find A(-5, 5) and B(1, 1).
The distance formula is ...
Using the point coordinates, the formula tells us the distance is ...
d = √((1-(-5))² +(1-5)²) = √(6² +(-4)²)
d = √(36 +16) = √52 ≈ 7.2111
Rounding the distance to the nearest tenth, we have ...
length AB ≈ 7.2 units
_____
<em>About the Pythagorean theorem</em>
If you draw point C(-5, 1) on the graph, then you can see that triangle ABC is a right triangle. It has legs AC and BC. You can subtract coordinates or count grid squares to see that the lengths of those legs are AC = 4, BC = 6.
The Pythagorean theorem tells you the square of the hypotenuse (AB) is the sum of the squares of the sides (AC and BC).
AB² = 4² +6² = 16 +36 = 52
AB = √52 . . . . as above
If m = baseball cards he had yesterday, and today he got rid of 5, the expression is equal to
m - 5 = x.
As an example of what the answer is, replace m with 10.
If he had 10 baseball cards and gave away 5 today, x = 5.
The answer is m - 5 = x.
Argument
You have a total of 8 + 9 + 3 balls = 20
The first ball is 17/20 Probability that no ball drawn is red the first time
The Second ball is 16/19 Probability that no ball drawn is red the 2nd time
The third ball is 15/18 Probability that no ball drawn is red the 3rd time
Answer
Total Probability = 17/20 * 16/19 * 15/18 = 34/57
My calculator figures out fractions. You can do this just as easily with decimals.
0.85 * 0.8421 * 0.8333333 = 0.5964
34/57 = 0.5965 which is close enough.
If you have choices, choose the one that coincides with my answer. Otherwise use the decimal value.
Answer:
She will need to earn a little more than $1333 that week.
Step-by-step explanation:
600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333
Check by doing 1333 x 0.45 (comes out to be 599.85)
Well, what's the graph of say y = 5x - 2?
the line will come by graphing that, y = 5x - 2... then we check the points that lie on either side of the line.
for example... the point (0,4) is a point that lies on the left-hand-side of that line..... so... let's check for its true/false value
(0, 4) x = 0, y = 4
y < 5x - 2
4 < 5(0) - 2
4 < 0 - 2
4 < -2 <--- now, is that true? is 4 lesser than -2? well, nope
so, that means the region where 0,4 lies, is the FALSE region, and we do not shade that part, so the part that needs shading is the other side.
The boundary line is dashed, meaning, it DOES NOT include the points lying on that line, but just anything off that, because y < 5x - 2, means "y" is less than, NOT EQUALS OR LESS, but just less.
check the picture below.
