Answer:
y =(v-4)^2 -4
Step-by-step explanation:
vertex form of a parabola is
y = a (v-h)^2 +k
where (h,k) is the vertex
y =a(v-4)^2 +(-4)
y =a(v-4)^2 -4
now substitute another point in to determine a
let's pick 0, 12
12 = a((0-4)^2 -4
add 4 to each side
16 = a * (-4)^2
16 = a*16
divide by 16
a = 1
substitute in what we know
y =1 *(v-4)^2 -4
y =(v-4)^2 -4
Answer: l = P/2 - w
Step-by-step explanation:
Perimeter formula for rectangle :
P = 2( l + w )
We have to write l in terms of P and W.
P/2 = ( l + w)
P/2 - w = l
Now, flip the equation and you'll get :
l = P/2 - w
Answer:
It will take 6 minutes by Ashley and Emma to read the same amount of pages.
Step-by-step explanation:
Let in 't' minutes Ashley and Emma will read the same amount of pages.
If Ashley can read one page in a minute then she can read the number of pages in t minutes = 1×t =t
If she starts from page 1 then after time 't' she will be at the page = (t + 1)
Similarly, if Emma takes 3 minutes to read the amount of pages = 1
Then she can read amount of pages in t minutes = 
If Emma starts from page 5 then after t minutes she will be at the page = 
If both have read the same amount of pages then,
t = 6 minutes
Therefore, it will take 6 minutes by Ashley and Emma to read the same amount of pages.
I agree with all your choices. First, you would convert all the equations to slope-intercept form.
Convert the initial equation 5x - 3y = 8 to get y = 5/3x + (-8/3)
We can't do anything with -5 = 3y = -8 because of the equal signs, therefore, option A is eliminated.
Option B in slope-intercept is y = 5x + -8, that is no where close to <span>y = 5/3x + (-8/3), so B is eliminated.
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Option C in slope-intercept form is <span>y = 5/3x + (-8/3), the same as the initial equation, so choice C is correct.
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Option D in slope-intercept form is y = 2.5/-1.5x + 4/-1.5, dividing the fraction results in y = -1.667x + -2.667, -1.667x is the equivalent of -5/3 and -2.667 is the equivalent of (-8/3). It does not matter if the slope is positive or negative, as long as they're the same. Choice D is correct.
Option E in slope-intercept form is y = -25/-15x + 8/-15, dividing -25/15x results in 1.667x, but 8/-15 is -0.534, -0.534 is not equal to -2.667. Choice E is eliminated.
Option F in slope-intercept form is y = -15/-9x + 24/-9, -15/-9 is 1.667 and 24/-9 is -2.667, this is equivalent to y = 5/3x + (-8/3). <span>Choice F is </span>correct<span>.
I agree with all your answers! :) </span>
