Step-by-step explanation:
<u><em>Hello, this should help you out!</em></u>
In this graph, the y values move up 3 units each. Therefore, the blue parabola underwent a translation of 3 units upward.
For further explanation, we see that (0,0) goes up to (0,3), meaning the graph shifted upwards 3 units. So, each y value is raised by positive 3 units!
<em>I hope I was of assistance! </em><u><em>#SpreadTheLove! <3</em></u>
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Answer:
x < 3
Step-by-step explanation:
Apply distributive property on the left of the inequality to get rid of the parenthesis:
8+4x > 5x+5
subtract 4x from both sides to group all terms with x on the right:
8 > 5x-4x+5
8 > x +5
Now subtract 5 from both sides to collect all numerical terms on the left:
8 - 5 > x
3 > x
Therefore the solution to the inequality are of those real numbers strictly smaller than 3.
The inequality can be written as x < 3 or also as we had it initially: 3 > x
Notice that the opening of the angle symbol is always facing the number 3 , meaning that 3 is the larger of the two numerical objects that are compared.
Answer:
Step-by-step explanation:
slope of line perpendicular to y=mx+c is -1/m
so here reqd. slope=-1/4
