Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
slope (m) = 0.75
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
3
= 0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 198.43494882292°
ΔX = -4 – 2 = -6
ΔY = 3 – 5 = -2
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = 0.33333333333333x + 4.3333333333333
or
y =
1 x
3
+ 13
3
When x=0, y = 4.3333333333333
When y=0, x = -13
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Answer:
she would receive X-2.95
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.
The volume of a cuboid is l * b * h
And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters
The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.
This is 189,000/27000 = 7
The slope is ∞ , line is a vertical line parallel to y axis.
<h3>What is a Straight Line Function ?</h3>
A straight line function is a function that can be represented by y = mx +c , where m is the slope of the line and c is the intercept on the y axis.
There are two points given for a line ,
The slope is represented by
m = ∞
which means the line is a vertical line parallel to y axis.
To know more about Straight Line Function
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