3 years ago

Which statement best describes the

Mathematics

1 answer:

Inessa [10]3 years ago

8 0

B) the product of two factors

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three fruits are randomly selected from a basket containing 3 apples 2 oranges and 5 kiwis. What is the probability that the thr

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3/10 is the probability

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3 years ago

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

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3 years ago

Work out the gradient of the graph shown.

icang [17]

y=-3 and then x=-1 =-3:-1

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3 years ago

I need help with the coordinate plane

alexira [117]

Answer:

The -7 changes to 7 and the ordered pair of the new point is (4,7)

The -2 changes to 2 and the ordered pair of the new point is (2,-5)

Step-by-step explanation:

Hope this helped.

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3 years ago

A line is parallel to y = 2x - 8 and

Bad White [126]

Parallel line means having the SAME slope

so the slope of a line parallel to the given line is 2

plug in the given point and slope of 2 into point slope form
y+1 = 2 (x+4)

solve for slope intercept form
y+1 = 2x + 8
y = 2x + 7

answer: y=2x+7

7 0

3 years ago

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