Answer:
Step-by-step explanation:
We are given the slope along with an (x, y) coordinate with which to write the equation. You could use this info in the slope-intercept form and solve for b, or you could use this info in the point-slope form and solve it for y. Trust me when I tell you that either one will get you the correct equation. Promise! I used the point-slope form, just because. ; )
y - 2 = 3(x - 1) and
y - 2 = 3x - 3 and
y = 3x - 1 OR in standard form, we will put the x and y terms on the same side of the equals sign, separated from the constant:
-3x + y = -1. But if we get picky and do not like to lead with negatives, we could change ALL the signs to their opposites (which is the same as multiplying the whole thing by a -1) to get
3x - y = 1 which is the third choice down.
The expression 36x² - 121 is in the 'difference of two squares form' which is (a² - b²)
Factorising (a² - b²) gives (a+b)(a-b)
Factorising 36x² - 121 gives (6x+11)(6x-11)
Answer:
Volume of a parallelogram is v=whl
Area of s parallelogram is A= bh
Circumference of a circle= rd
Area of a circle= rd^2
Area of a triangle is 1/a <em>bh</em>
Area of a trapezoid is 1/2(b1 + b2)h
Perimeter of a quadrilateral is 2L + 2W
I couldn't drag the image but I knew what I was doing!
Answer:
3.75 cubic inches
Step-by-step explanation:
Volume = length x breadth x height
since the box holds 2 layers of 15 cubes
length contains 5 cubes= 5x1/2 inches=2.5 inches
breadth contains 3 cubes=3x1/2inches=1.5 inches
height contains 2 cubes=2x1/2inches=1.0 inches
Volume=2.5x1.5x1.0=3.75 cubic inches
Answer:
-xy^6 +2y -6
Step-by-step explanation:
(-6x^2 y^8+12xy^3-36xy^2)
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6xy^2
Divide each term by 6 in the numerator and denominator
(-6/6x^2 y^8+12/6xy^3-36/6xy^2)
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6/6xy^2
-x^2y^8 +2xy^3 -6xy^2
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xy^2
Divide each term by x in the numerator and denominator
-x^2/xy^8 +2x/xy^3 -6x/xy^2
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x/xy^2
-xy^8 +2y^3 -6y^2
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y^2
Divide each term by y^2 in the numerator and denominator
Remember when dividing, we subtract the exponents
-xy^8/y^2 +2y^3/y^2 -6y^2/y^2
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y^2 /y^2
-xy^6 +2y^1 -6
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1
-xy^6 +2y -6