Answer:
ez 9/40
Step-by-step explanation:
just substitute 10 into the equation
10=2x-6
add 6 to both sides
16=2x
divide both sides by 2
x=8
Answer: The range is ![\{y \in \mathbb{R}\ | \ y \le -6\}](https://tex.z-dn.net/?f=%5C%7By%20%5Cin%20%5Cmathbb%7BR%7D%5C%20%7C%20%5C%20y%20%5Cle%20-6%5C%7D)
Explanation:
The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.
The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write
to describe all the possible y values.
Therefore, the range is ![\{y \in \mathbb{R}\ | \ y \le -6\}](https://tex.z-dn.net/?f=%5C%7By%20%5Cin%20%5Cmathbb%7BR%7D%5C%20%7C%20%5C%20y%20%5Cle%20-6%5C%7D)
This translates to "y is a real number such that y is -6 or smaller".
So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.
See below for a visual example of what's going on.
Answer:
88cm^2
Step-by-step explanation:
Area of the rectangle: base x height
Area of parallelogram: base x height
Area of the shaded part: area of rectangle -area of parallelogram:
12x10-4x8=120-32=88
Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj