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2 years ago

10

THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height o

f the right endpoint of the kth rectangle?

1 answer:

Svetradugi [14.3K]2 years ago

3 0

Answer:

-2+k.5/n

Step-by-step explanation:

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What is the equation of a parabola in vertex form for a line that passed through (5,-4) and has vertex (-2,5)

Ahat [919]

$\text{The vertex form of a parabola}\\\\y=a(x-h)^2+k\\\\\text{We have the vertex}\ (-2,\ 5)\to h=-2,\ k=5.\\\\\text{Substitute}\\\\y=a(x-(-2))^2+5=a(x+2)^2+5\\\\\text{We have the point}\ (5,\ -4).\\\text{Substitute the coordinates of the point to the equation:}\\\\-4=a(5+2)^2+5\\\\-4=a(7)^2+5\\\\-4=49a+5\qquad|-5\\\\-9=49a\qquad|:49\\\\a=-\dfrac{9}{49}\\\\Answer:\ \boxed{y=-\dfrac{9}{49}(x+2)^2+5}$

5 0

3 years ago

What are the partial products that result from multiplying 15x32?

pashok25 [27]

The answer to this question would be: 300; 20; 150; 10

When you multiply 15 x 32, you can divide both numbers into this:
15= 10 + 5
32= 30 +2

Then the multiplication becomes (10+5) * (30+2) which will result in 4 partial product like this:
10*30= 300
10* 2= 20
5* 30= 150
5* 2= 10

7 0

3 years ago

Find/solve for x in the image above

Flura [38]

Answer:

Step-by-step explanation:

Simply we know this is an isosceles triangle meaning that:

The other angle is also 35.

With this information, we can say that as a triangle adds up to 180, we can put this in a formula:

x+35+35 = 180

x+70 = 180

x = 110

8 0

2 years ago

What is the center of the ellipse x2+5y2–45=0?

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Where center is at point (h,k)

From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

8 0

1 year ago

Help would be appreciated!

charle [14.2K]

C)
10hrs will get around 105 salaries
90hrs get 840+105=945
95 hours get 945+(105/2)=997.5
100 hours get 945+105=1050

6 0

3 years ago