Answer:
C. (1, -3)
Step-by-step explanation:
Plug in the x to get the y in the equation. The point must fit the formula.
Plug in C. (1, -3), in which x = 1, y = -3:
(-3) = 2(1) - 5
Simplify:
(-3) = 2(1) - 5
-3 = 2 - 5
-3 = -3 (True).
C is your answer.
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This is a parabola which opens upwards and the directrix will be of the form
y = k
the general form is
4p(y - k) = (x - h)^2 we have:-
1/4(y + 3) = (x - 2)^2
so the vertex is at (2, -3)
4p = 1/4 so p = 1/16
so the focus will be at (2 , -2 15/16)
and directrix is y = -3 1/16
Question - Answer
a) 1/2 L = 4
b) 1/2 L x 4 = 2
c) 5/6 x 2 = 1 4/6 L OR 1.67 L
d) 2/3 L = 3 beakers with 2/3 OR 5 beakers with 2/3 and 5/6
e) <1/3 L = 3 beakers
I believe that is the answer.
Answer:
1/24
Step-by-step explanation:
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
88
/96
-84
/96
Step 2
Since our denominators match, we can subtract the numerators.
88 − 84 = 4
So the answer is:
4
/96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4
/96
÷ 2 =2
/48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
2
/48
÷ 2 =1
/24
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing. There you have it! The final answer is:
11
/12
-7
/8=1
/24
