Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
Answer:
the answer is 1/12
Step-by-step explanation:
it is 1/12 because if there are only a pair you would have 2 dice. and since each die has numbers all the way up to 6 all you have to do is add them. and don't count all the numbers. like add 1+2+3+4+5+6. that's just plain wrong just do add the highest number on each die (6+6)
Answer:
x<-1
Step-by-step explanation:
12x>7(4x+5)-19
<u><em>Solve the right side</em></u>
12x > 28x+35-19
12x > 28x+16
<u><em>Make x the subject</em></u>
12x-28x > 16
-16x > 16
-x > 16/16
-x > 1
Multiplying by -1 on both sides
x < -1
If you multiply ">" with minus sign, its direction changes. It is similar to switching the positions of x and -1.
<u><em>Simplify</em></u>
x < -1
The inequality of x is x<-1
Corey stepped back 59.71 feet to get a better view of the bird.
Explanation:
This is a right angled triangle. Let 
be the angle of elevation.
Let the adjacent side of the triangle be x for the angle
Let the opposite side of the triangle by y for the angle
Thus,
Since, the height of the tree is 80 feet, 
To find the value of x, let us substitute and 
Since, Corey moves back a few steps to gain a better view of the bird, the angle of elevation is 41°
Now, we shall find the x for and 
To find how many feet Corey step back is to subtract the value of two adjacent sides, thus,
Thus, Corey stepped back 59.71 feet to get a better view of the bird.
Answer:
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Step-by-step explanation:
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