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user100 [1]
2 years ago
12

Solve using the elimination method -4x-2y=-18​

Mathematics
1 answer:
Softa [21]2 years ago
5 0

Step-by-step explanation:

-4x – 2y= -18

Add 2y to both sides

-4x- 2y+ 2y = -18 + 2y

Simplify

-4x = -18 + 2y

Divide both sides by -4

-4x/-4= -18/-4+ 2y/-4

simplify

x= - -9+y/2

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Solve the value of x 5(2x+1)​
Margaret [11]
The value of x is -1/2

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3 years ago
The length of triangle base is 36. The line which is parallel to the base divides the triangle into two equal area parts. Find a
Soloha48 [4]

Answer:

18\sqrt{2}

Step-by-step explanation:

Consider triangle ABC with the base AC=36. Let the line DE be parallel to the line AC. If DE||AC, then triangles ABC and DBE are similar. If k is the scale factor of these triangles, then

\dfrac{DE}{AC}=\dfrac{BG}{BF}=k.

Thus,

DE=k\cdot AC=36k,\\ \\BG=k\cdot BF.

The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}AC\cdot BF=\dfrac{1}{2}\cdot 36\cdot BF=18BF.

The area of the triangle DBE is

A_{DBE}=\dfrac{1}{2}DE\cdot BG=\dfrac{1}{2}\cdot 36k\cdot kBF=18k^2BF.

Since line DE divides triangle ABC in two equal area parts, we have that

A_{DBE}=\dfrac{1}{2}A_{ABC},\\ \\18k^2BF=\dfrac{1}{2}\cdot 18BF,\\ \\k^2=\dfrac{1}{2},\\ \\k=\dfrac{1}{\sqrt{2}}

and

DE=\dfrac{1}{\sqrt{2}}\cdot 36=18\sqrt{2}.

4 0
3 years ago
Simplify the following expression. 3x4 +2x3 - 5x2 + 4x2 +6x-2x - 3x4 + 7 x - 3x3​
vlada-n [284]

<u><em>**I want to mention that please use asterisk (*) symbol for multiplication as multiplication symbol x and variable x look the exact same</em></u>

Your question is

3*4+2*3-5*2+4*2+6x-2x-3*4+7x-3*3

First calculate each term getting

=12+6-10+8+6x-2x-12+7x-9

Now combine like term which means adding all of the constant together and all of the term containing variable x together

=11x-5

Therefore 11x-5 is the answer to the expression.

6 0
3 years ago
What integer is the opposite of 32 degrees Celsius below zero?
maks197457 [2]

Answer:

-32?

Step-by-step explanation:

8 0
3 years ago
Solve the triangle<br> Solve sides
Montano1993 [528]

Answer:

Step-by-step explanation:

Triangle RST is a right angle triangle.

From the given right angle triangle

RT represents the hypotenuse of the right angle triangle.

With 26 degrees as the reference angle,

ST represents the adjacent side of the right angle triangle.

RS represents the opposite side of the right angle triangle.

1) To determine RS, we would apply trigonometric ratio

Sin θ = opposite side/hypotenuse Therefore,

Sin 26 = RS/9.1

RS = 9.1Sin26 = 9.1 × 0.4384

RS = 4.0

2) To determine ST, we would apply trigonometric ratio

Cos θ = adjacent side/hypotenuse Therefore,

Cos 26 = ST/9.1

ST = 9.1Cos26 = 9.1 × 0.8988

ST = 8.1

3) The sum of the angles in a triangle is 180 degrees. Therefore,

∠R + 26 + 90 = 180

∠R = 180 - (26 + 90)

∠R = 64 degrees

8 0
4 years ago
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