Answer:
see attached
Step-by-step explanation:
I find it convenient to let a graphing calculator draw the graph (attached).
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If you're drawing the graph by hand, there are a couple of strategies that can be useful.
The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:
y = 2x -4
This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.
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The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...
x/2 +y/3 = 1
The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:
0 +2y = 6
y = 6/2 = 3
and set y=0 to find the x-intercept
3x +0 = 6
x = 6/3 = 2
Plot the intercepts and draw the line through them for the graph of this equation.
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Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.
Answer:
(8,-9)
Step-by-step explanation:
using the principle of vectors, you match each number to their coordinates and add them
so we have (7+1,-12+3)
which is equal to (8,-9)
Answer:
x = 117 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)
Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)
Hence the value of x = 117 degrees (vertically opposite to each other on line u)
It is B because angle DBA is supplementary to angle DBE because together they create a straight line which equals 180 degrees.
Answer:
Step-by-step explanation:
- Option A
![[x+5=20]](https://tex.z-dn.net/?f=%5Bx%2B5%3D20%5D)
tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
- Option B
![[x=5]](https://tex.z-dn.net/?f=%5Bx%3D5%5D)
tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too. - Option C
tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality. - Option D
![[x+5]](https://tex.z-dn.net/?f=%5Bx%2B5%5D)
is an expression; It can't be called an equation or an inequality unless we relate it with another expression.
