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maxonik [38]
3 years ago
7

Foster is centering a photo that is 3 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the

page should he put the picture? Enter your answer as a mixed number.
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

The answer is that Foster should position the page so that the picture is 4.25 inches away from each side

Step-by-step explanation:  I hope this helps :) Im sorry if my awnser is wrong

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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

\boxed{a=-0.3575}

8 0
3 years ago
Given f(x) shown below complete the equation for the inverse of f(x) = x-1
shtirl [24]
Replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)

f(x)=x-1
y=x-1
x=y-1
x+1=y
x+1=f⁻¹(x)
f⁻¹(x)=x+1

3 0
3 years ago
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Marco is studying a type of mold that grows at a fast rate. He created the function f(x) = 345(1.30)x to model the number of mol
Ivahew [28]

1.30 represents the rate of growth of the mold spores. This decimal is a representation of the percentage growth, which would be 130%.


Since the function is written in terms of weeks, x will equal 4 to represent the amount of spores after 4 weeks. Plug the value into the function:


345(1.30)^4 = \boxed{985.35}


Rounded to the nearest ones value, there will be 985 mold spores after 4 weeks.

8 0
3 years ago
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Hiya! Does anyone know which one it is? I would really appreciate it!
sveta [45]

Answer:

\sqrt{36 > 5}

is the answer!

8 0
3 years ago
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Solnce55 [7]

Answer:

1. C.    2.  D.  

Step-by-step explanation:


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