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pshichka [43]
3 years ago
13

The area of a rectangle is 5454 in squaredin2. the ratio of the length to the width is 3 : 23:2. find the length and the width.

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

hello : 
let : x the length   and  y  the <span>width
</span>the area is : xy  and ; x/y = 3/2
xy =5454  ...(1)
x = (3/2)y  ... (2)
subsct in (1) : (3/2)y ×y = 5454
3y² = 10908
y² = 3636....continue    calculate : y 
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I am doing a project in my math class where we create a picture with functions and needed an egg curve. I finally figured out th
matrenka [14]

<span>Let's solve this problem step by step.</span><span>

In Figure 1 you have the graph of this equation. In fact, it is an egg curve as you can see, the question is asking for shifting the curve vertically and horizontally, so what you need to do is the following:

First. Shifting the curve horizontally (to the left).<span>

</span>Suppose you want to get the curve when the center of the egg matches with the origin of the Cartesian plane, so you need to shift the curve to the left. To do this add 40 units to the x-coordinate, so:
<span>
</span>[(x+40)^2+y^2]^2=80(x+40)^3+9(x+40)y^2
<span>
</span>This shift is shown in Figure 2

Second. Shifting the curve horizontally (to the right).<span>

</span>Suppose you want to shift the curve 40 units to the right, then you need to subtract 40 units from the x-coordinate like this:
<span>
</span>[(x-40)^2+y^2]^2=80(x-40)^3+9(x-40)y^2
<span>
</span>This shift is shown in Figure 3

Third. Shifting the curve vertically (upward)<span>

</span>Suppose you want to shift the curve 40 units upward, then you need to subtract 40 units from the y-coordinate like this:
<span>
</span>[x^2+(y-40)^2]^2=80x^3+9x(y-40)^2
<span>
</span>This shift is shown in Figure 4

Fourth. Shifting the curve vertically (downward)<span>

</span>Suppose you want to shift the curve 40 units downward, then you need to add 40 units to the y-coordinate like this:
<span>
</span>[x^2+(y+40)^2]^2=80x^3+9x(y+40)^2
<span>
</span>This shift is shown in Figure 5</span>

8 0
3 years ago
3(1-3x)=2(-4x+7) solve
Rudiy27

Simplify the left side.

Tap for more steps...

3−9x=2(−4x+7)

Simplify the right side.

Tap for more steps...

3−9x=−8x+14

Move all terms containing x

to the left side of the equation.

Tap for more steps...

3−x=14

Move all terms not containing x

to the right side of the equation.

Tap for more steps...

−x=11

Multiply each term in x=−11

by −1

Tap for more steps...

x=−11

Hope this helps!

8 0
3 years ago
Read 2 more answers
What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

4 0
3 years ago
Ryan bought fishing gear, they cost 51.50,14.99,and 5.79. The sales tax was calculated by multiplying the total cost of the fish
wlad13 [49]

Answer: 76.28 approximately 76

Step-by-step explanation:

Ryan bought fishing gear for 51.50, 14.99 and 5.79.

Total fishing gear bought will be the addition of the 3 fishing gear.

51.50 + 14.99 + 5.79= 72.28

The sales tax is the multiplication of the total fishing gear by 0.05

= 72.28 × 0.05

= 3.614 which is approximately 4

Amount paid by Ryan will be

Total fishing gear + Sales tax

= 72.28 + 4

= 76.28 approximately 76.

3 0
3 years ago
What is the Value of f(6) if f(x)=2x-11
il63 [147K]
The answers are
f
o
g
(
x
)
=
−
2
x
+
23
and
g
o
f
(
x
)
=
−
2
x
+
5

Explanation:
f
(
x
)
=
−
2
x
+
11

g
(
x
)
=
x
−
6

f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
)
+
11

=
−
2
x
+
12
+
11
=
−
2
x
+
23

g
o
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6

=
−
2
x
+
5

I think that the equations speak by themselves.
Of course,
f
o
g
(
x
)
≠
g
o
f
(
x
)
3 0
3 years ago
Read 2 more answers
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