Answer:
The unknown angle is 80
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
Let the unknown angle be x
20+80+x = 180
Add like terms
100+x = 180
Subtract 100 from each side
100-100+x=180-100
x = 80
Answer:
The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.
In the given equation, the y-intercept is ( 0, 9.5).
Step-by-step explanation:
We have been given the equation;
y=0.10x+9.50
The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.
y = 0.10 (0) + 9.50
y = 0 + 9.50
y = 9.50
is our y-intercept
4y ≥ 3x + 2
Plugging in the values in the options, then the required values are when x = 6 and y = 5, then
4(5) ≥ 3(6) + 2
20 ≥ 18 + 2
20 ≥ 20
In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.
This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.
-x^2 + y = 1
y = x^2 + 1
So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)
-x + y = 2
y = x +2
So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)
The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.
Answer:
In the first expression:
(5^3)^-4 = 5^-12
Step-by-step explanation: