Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
Jan. 2014 Average High Historical Average High
New York: 38 F (3.3 C) 36 F (2.2 C)
Los Angeles: 76 F (24.4 C) 68 F (20 C)
Chicago: 27 F (-2.7 C) 32 F (0 C)
Houston: 64 F (17.8 C) 63 F (17.2 C)
Philadelphia: 40 F (4.4 C) 41 F (5 C)
Phoenix: 73 F (22. 8 C) 67 F (19.4 C)
San Antonio: 66 F (18.9 C) 63 F (17.2 C)
San Diego: 72 F (22.2 C) 65 F (18.3 C)
Dallas: 58 F (14.4 C) 57 F (13.9 C)
<span>San Jose: 66 F (18.9 C) 58 F (14.4 C)</span>
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Answer: 9/14
Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions
7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.
2/14 + 7/14
Then you add.
2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!
Answer:
Step-by-step explanation:
we know,
If we shift a graph to right or left,
then x terms have to be changed.
If a graph shifted to the right, then it will be decreased in x terms.
Here, the function is-
h(x)=2|x-3|+1
Now, we have to translate it 2 units to the right.
That is, x term will be decreased by 2 units.
So, the new function will be,
f(x)=2|x-3-2|+1
=2|x-5|+1
Ans. D) f(x)=2|x-5|+1
