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Anton [14]
2 years ago
12

Solve the pair of simultaneous equations and leave the answer as a fraction in

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

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Select the correct answer
kipiarov [429]

Answer:

A

Step-by-step explanation:

Slope = term that multiply x

y intercept = the number without a variable

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2 years ago
Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular octagons. Each tile has a length
sineoko [7]

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

7 0
3 years ago
The perimeter of a rectangular room is 52 feet. The length is 2 more than the width. What is the width of the room?
Otrada [13]

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

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now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

7 0
2 years ago
Find the derivative of
Gre4nikov [31]

Answer:

<u><em>y' = 1 / sinxcosx</em></u>

Step-by-step explanation:

<u>Given :</u>

y = sinx + cosx / sinx - cosx

<u>Applying quotient rule :</u>

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

<u><em>y' = 1 / sinxcosx</em></u>  [⇒ Final answer]

3 0
2 years ago
Read 2 more answers
A ladder which is 6.7 m long is placed on the ground 2.8 m from a vertical wall and then leaned over to the wall. How high up th
timofeeve [1]

Answer:

6.1 m

Step-by-step explanation:

Always draw a diagram! And now pythagorean theorem. a^2 + b^2 = c^2

Substitution:

a^2 + 2.8^2 = 6.7^2

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a = 6.086...

Rounding <u>up</u> to one decimal point, thats 6.1 m

8 0
2 years ago
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