Answer:
first option;
x-int: -5, 1
y-int: -1
Step-by-step explanation:
<u>x-int:</u> describes where the function touches the x-axis (left to right). This function touches the points (0,-5) and (0,1).
<u>y-int:</u> describes where the function touches the y-axis (up and down). This function touches the point (0,-1).
In dealing with these problems, the first step to do is illustrate it. When you do, you would see a right triangle with a 55° angle between the hypotenuse and the vertical leg. Using pythagorean relations:
sin 55 = 50/x, where x is the unknown
x =50/sin55
x = 61.04 feet
If we represent Tobin's speed as x, we can write her opponent's speed as
x-2 (since Tobin is 2 more than them). In addition, since it's in miles per hour, and 45 minutes is 3/4 of an hour, we can say that 3/4ths of her speed in miles per hour is how long the race is, so (3/4)(x-2)=distance of race. In addition, since it only took Tobin 30 minutes, and 30 minutes is half an hour, x/2 (half of her miles per hour) is the length of the race, so (3/4)(x-2)=(1/2)x. Expanding it, we get 3x/4-6/4=x/2. Subtracting x/2 (or 2x/4) from both sides, we get x/4-6/4=0 and by adding 6/4 to both sides we get x/4=6/4. Multiplying 4 to both sides, we get that x=6=Tobin's speed in miles per hour
26+10i, 26-10i
I'm assuming the 26 is not under the radical
Answer:
2.31
Step-by-step explanation:
log 10.5 = log 212
= log 21 - log 2
= log(3 x 7) - log 2
= log 3 + log 7 - log 2
= 1.10 + 1.90 - 0.69
= 3 - 0.69
= 2.31
