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3 years ago

A color printer prints 13 pages in 8 minutes How many pages does it print per minute

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer: 13/8 or 1.625

Step-by-step explanation:

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Six lines are drawn in the coordinate plane below.

Simora [160]

Answer:

Step-by-step explanation:

they are all going down while the others rise

5 0

2 years ago

Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).

egoroff_w [7]

Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation

5 0

3 years ago

?>?>?>>??>Find the area of the kite.

sineoko [7]

Check the picture below.

$\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18$

8 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the bo

My name is Ann [436]

if 1 inch is added, you would add 2 inches to to each side of rectangle.

You would have: W+2, and, L+2,

Now let W+2 = x and, L+2 = y

Total area = x*y=M

If 1 inch is added again, like above you add 2 inches to both sides, you would then have:

(x+2)(y+2)=M+52;

xy+2x+2y+4=M+52;

xy=M

2x+2y=48

x+y=48/2=24

Now solve :

W+2+ L+2=24

W+L=20

The perimeter is 2(W+L)=20*2 = 40 inches.

6 0

3 years ago