Answer:
the perpendicular lines are relationship between, through their slopes, if at the time of multiplying them their result is equal to -1
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
<h3>How to find the resulting equation after applying a compression</h3>
Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:
g(x) = f(k · x), for 0 < k < 1 (1)
If we know that f(x) = x², then the equation of g(x) is:
g(x) = (k · x)², 0 < k < 1
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
To learn more on rigid transformations: brainly.com/question/1761538
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For this one, the best way to do it is write out you formulas, then solve for the first one and see if it works for the second one.
I am going to use <em>h </em> for hamburgers and <em>d</em> for drinks to make it easier.
2h+5d=8
2h+3d=6
So what I did was make the drinks 1, this way you can see if you need to raise it or if the hamburgers could come out even. When you do that here is what it looks like:
2h+5(1)=8
2h+5=8
2h=3
h=1.50
So here is what you have as of now
h= 1.50 and d= 1
now plug that into the next problem
2h+3d=6
2(1.50)+3(1)=6
3+3=6
So that is your answer
Hamburgers are $1.50
and Drinks are $1
Hope this helps!
Answer:
x = 1
Step-by-step explanation:
