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kiruha [24]
3 years ago
5

X= 0 y=3 what is the equation to the parallel line?

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

Y - 3 - X = 0

Step-by-step explanation:

The points are (0,3)

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The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of
horsena [70]

Answer:

L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft

Step-by-step explanation:

we know that

The volume of a portable kennel (rectangular prism) is equal to

V=LWH

where

L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft

V=7.4\ ft^3

substitute the given values in the formula of volume

7.4=(x+0.4)(x)(x-0.2)

Apply distributive property right side

7.4=x(x^2-0.2x+0.4x-0.08)

7.4=x(x^2+0.2x-0.08)

7.4=x^3+0.2x^2-0.08x

x^3+0.2x^2-0.08x-7.4=0

Solve the cubic equation by graphing

using a graphing tool

The solution is x=1.9

see the attached figure

Find the dimensions

substitute the value of x

L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft

5 0
3 years ago
How far apart are parallel lines m and n such that T0, -123(AXYZ) = (R, Rm) (AXYZ)?
Dmitry_Shevchenko [17]

A reflection about a line gives an image that is at an equal distance from the line but on the opposite (other) side of the line

The distance between the lines <em>m</em> and <em>n</em> is <u>6 units</u>

<u />

Reason:

The given parameters are;

T_{}\Delta(XYZ) = (R_n \circ R_m) \Delta (XYZ)

Let <em>Y</em> represent the top vertex of Δ(XYZ), and the coordinates of point <em>Y</em> is (3, 0) we have;

The coordinates of Y following T_{} is Y''(3, -12)

A reflection of  <em>Y </em> across the line m, y = -9, gives the coordinates of the image at Y'(3, -18)

A reflection of the image Y'(3, -18) across the line n, y = -15, gives the image at Y''(3, -12)

The distance between lines <em>m</em>, and line <em>n</em>, is -9 - (-15) = 6

Generally, the difference between two lines of reflection, <em>n</em>, and <em>m</em>, following a composite reflection is 2×(n - m)

Given that the total transformation is -12, we have;

2×(n - m) = -12

Therefore;

(n - m) = \dfrac{-12}{2}  = -6

Which gives;

m - n = 6

The distance between the two lines = 6 units

Learn more about reflection about a line here;

brainly.com/question/15339549

7 0
2 years ago
Write the sum or difference in the standard form a + bi.( 3 + 3i) - ( -6 + i)
fiasKO [112]
The answer is 9+2i 

i hope it does help you
7 0
3 years ago
Owen was 34 1/2 inches tall on his second birthday he grew an average of 2 1 / 2 inches each year for the next 10 years then he
liq [111]
Do 34 1/2 plus 2 1/2 times 10then do 11/2 into the mixed number 1 1/2 times 6 
6 0
3 years ago
The vertex form of the equation of a parabola is y = 2(x+ 4)2 - 21.
Ivanshal [37]

Answer:

y = 2x² + 16x + 11

Step-by-step explanation:

first foil (x + 4)² to get x² + 8x + 16

distribute 2 to get 2x² + 16x + 32

subtract 21 from 32

8 0
3 years ago
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