(x)=3log(x−7)+1
There is no y intercept
log (x) does not intercept the y axis. This shifts the function 7 units to the right so the graph will not intercept the y axis
9514 1404 393
Answer:
-26, -25
Step-by-step explanation:
The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.
Hence, one is -26 and one is -25.
Answer:
1. B) 5.7
2. A) 12
3. A) 11.4
4. A) 5.7
5. A) 16.2
6. A) 11.2
7. No, they do not form a right triangle
8. Yes, they do form a right triangle
Step-by-step explanation:
Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.
1.
16² + b² = 17²
256 + b² = 289
256 - 256 + b² = 289 - 256
b² = 33
√b² = √33
b = 5.74 or 5.7
2.
16² + b² = 20²
256 + b² = 400
256 - 256 + b² = 400 - 256
b² = 144
√b² = √144
b = 12
3.
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.40 or 11.4 = c
4.
7² + b² = 9²
49 + b² = 81
49 - 49 + b² = 81 - 49
b² = 32
√b² = √32
b = 5.65 or 5.7
5.
a² + 5² = 17²
a² + 25 = 289
a² + 25 - 25 = 289 - 25
a² = 264
√a² = √264
a = 16.24 or 16.2
6.
10² + b² = 15²
100 + b² = 225
100 - 100 + b² = 225 - 100
b² = 125
√b² = √125
b = 11.18 or 11.2
7.
15² + 8² = 16²
225 + 64 = 256
289 ≠ 256
8.
5² + 12² = 13²
25 + 144 = 169
169 = 169
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1
Check the picture below. So the ellipse looks more or less like so.
since the major axis is over the x-axis, is a horizontal ellipse, notice the "a" component length and the value for "c".
