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uysha [10]
3 years ago
8

x) - 3" alt="18x + 20 + x = 10(x) - 3" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0

assuming you want us to solve for x

remember that you can do anything to an equation as long as you do it to both sides


18x+20+x=10x-3

combine like terms

19x+20=10x-3

minus 10x from both sides

19x-10x+20=10x-10x-3

9x+20=0-3

9x+20=-3

minus 20 from both sides

9x+20-20=-3-20

9x+0=-23

9x=-23

divide both sides by 9

\frac{9x}{9}=\frac{-23}{9}

x(\frac{9}{9})=\frac{-23}{9}

x(1)=\frac{-23}{9}

x=\frac{-23}{9}

Dima020 [189]3 years ago
4 0

18x + 20 + x = 10x -3

Combine like terms

19x + 20 = 10x -3

Subtract 20 to both sides because whatever you do on one side you have to do it on the other side:

19x = 10x -23

Subtract 10x

9x = -23

Divide 9 to isolate x:

x = -23/9

Simplify to get a mixed number:

x = -2 5/9

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2x+3y=4<br><br>This is not slope btw 
viktelen [127]
When x=-4:
2(-4)+3y=4
3y=4+8
3y=12
y=4
So the ordered pair is (-4,4), I think

3 0
4 years ago
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Square ABCD has a diagonal of 8 inches long. How many square inches is the area of the shape?
Nat2105 [25]
The diagonal of any square always occurs in a ratio of \sqrt2:1 relative to the square's sides. That means if s is the side length, then \sqrt2s=8 gives the length of the diagonal. It follows that s=\dfrac8{\sqrt2}.

Then the area of the square is

s^2=\left(\dfrac8{\sqrt2}\right)^2=\dfrac{64}2=32 square inches
7 0
3 years ago
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A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (7, 5). What an
Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

d= √6²

d=6 units

<u>Finding the height from points (7,5) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-7)² + (0-5)²

d=√-5²

d=√25

d=5 units

So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

TanФ=5/6

Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

3 0
3 years ago
Slope Quiz<br> ...........................................................
finlep [7]

Answer:

I hope it helps you the answer is 10/9

3 0
2 years ago
Given h(x) = 5 - 9x, find h(8).<br> ANSWER!!!
slamgirl [31]

Answer:

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