Answer:
4 Terms.
Step-by-step explanation:
5x4
6x3
-2x
7 are all of the terms in the expression.
The length can be found using the Pythagorean Theorem...
c^2=a^2+b^2 and in this case:
d^2=(dx^2)+(dy^2)
d^2=(3-7)^2+(12-9)^2
d^2=-4^2+3^2
d^2=16+9
d^2=25
d=5
So the length of AB=5 units.
Answer:
Option (5)
Step-by-step explanation:
Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).
As shown in the graph,
Let the equation of the given line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, the given line passes through two points (0, -1) and (-1, 2)
Slope of the line 'm' = ![\frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B2%2B1%7D%7B-1-0%7D)
= -3
y-intercept 'b' = -1
Therefore, equation of the line will be,
y = -3x - 1
And the function is,
g(x) = -3x - 1
Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.
Followed by the shifting of parent function by 1 unit down.
Therefore, Option (5) is the answer.
Answer:
x=1
Step-by-step explanation:
Since you know two sides and are trying to find the missing side, you can use the Pythagorean Theorem. So fashion the equation like this:
x^2 + 3^2 = sqrt10^2. After simplify, which leads to x^2 + 9 =10. Then have the variable to one side by subtracting 9 on both sides. This leads to x^2=1. Finally, square root both sides which leads to 1. Note that any root of 1 is 1. So your answer becomes x=1.
Hope this helps!