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3 years ago

Solve the following system by substitution. 6x + 7y= 20 y = 2x

Mathematics

1 answer:

sweet [91]3 years ago

4 0

Answer:

Hope this helps!

Step-by-step explanation:

Point Form:

(1,2)

Equation Form:

x = 1 , y = 2

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viktelen [127]

Answer:

4 . 4√4 is equal to this expression (256•64)^1/4 .

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4 years ago

One of the diagonals of a rhombus of perimeter 120m is 36m. Find its area and the length of the other diagonal. pls answer fastt

mash [69]

Answer: $864\ m^2,\ 24\ m$

Step-by-step explanation:

Given

Perimeter of the rhombus is $120\ m$

Length of one of the diagonal is $d_1=36\ m$

All the sides of the rhombus are equal

$\Rightarrow 4a=120\\\Rightarrow a=30\ m$

Area of the rhombus with side and one diagonal is

$\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}$

Insert the values

$\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2$

Area with two diagonals length can be given by

$\Rightarrow \text{Area =}0.5\times d_1\times d_2 \\\text{Insert the values}\\\Rightarrow 864=36\times d_2\\\Rightarrow d_2=24\ m$

Thus, the area of the rhombus is $864\ m^2$ and the length of the other diagonal is $24\ m$

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3 years ago

A class is taking a field trip. The Science Center charges a flat fee for the entire class plus an additional amount per student

pashok25 [27]

Answer:

Step-by-step explanation:

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3 years ago

Could i get help solving n + 6 < –1.5 ?

Svetradugi [14.3K]

Subtract 6 and then you will get n< -4.5

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4 years ago

Sin 30°-cos 30°÷ sin 60°<br><br>

Vilka [71]

Answer:

-1/2

Step-by-step explanation:

sin(30 degrees) = sin (pi/6) = 1/2

cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]

sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]

1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2

6 0

2 years ago