Answer:
5.25
Step-by-step explanation:
The fact that the graph crosses the x-axis means the hyperbola opens to the left and right. Hence its equation is ...
x^2/a - y^2/b = 1
The point (-2, 0) helps us find "a":
(-2)^2/a - 0/b = 1
4 = a
Then we can find "b" from the other fully-specified point.
(-3)^2/4 - 4^2/b = 1 . . . . . . substitute (-3, 4) for (x, y)
b = 16/(9/4 -1) = 64/5 . . . . solve for b
Then the third point will satisfy ...
t^2/4 - (5/64)·2^2 = 1 . . . . . . substitute (t, 2) for (x, y)
t^2 = 4·(1 +5/16) = 4 +5/4 . . . . solve for t^2
t^2 = 5.25
So, the absolute value of a negative number and the same number in positive terms is the same.
<span>Imagine a number line with zero in the middle, and numbers stretching out negative on one side and positive on the other. Measure out "3" on your number line in each direction. So, -3 and 3.
</span>
The absolute value of each of those — its distance from zero — is the same.
Does that make sense?
Answer:
200- (6*19.98)= x; 80.12
Step-by-step explanation:
Sandy has $200. From there, she wrote 6 $19.98 checks. To find what the balance is after you have to find the amount of money she wrote in total on the checks and then subtract it from the original balance in her bank account.
200- (6*19.98)= x
200- 119.88= x
80.12=x
Her account balance is $80.12
Answer:
54 gallons is 216 quarts, Hope this helps!
Step-by-step explanation:
There is a square and a half circle.
To find the radius of the circle: 18in - 12in = 6in
Area of a circle = (pi)r^2 = 3.14 (6in)^2 = 3.14 (36in^2) = 113.04in^2
This is an half circle, so we have to divide by 2 the result
56.52in^2 in what we’re looking for.
Area of the square = (12in)^2 = 144in^2
Total area = (144 + 56.52)in^2 = 200.52in^2
Or 201in^2 to the nearest whole number.
