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2 years ago

I need help with this please!!

Mathematics

1 answer:

vovangra [49]2 years ago

5 0

Answer:

${6x}^{3} + {9x}^{2} - 18x + 3$

Step-by-step explanation:

1. Expand by distributing sum groups. $3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)$

2. Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)$

3.Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)$

4. Remove parentheses.

${6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3$

5. Collect like terms.

${6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3$

6. Simplify.

${6x}^{3} + {9x}^{2} - 18x + 3$

Thus. the answer is,

${6x}^{3} + {9x}^{2} - 18x + 3$

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6. Write an equation of a line that is Parallel to the line: y = 3x -3

jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

Slope Intercept Form :-

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

3 0

2 years ago

Please help me please! im stuck

VikaD [51]

What is the question asking for?

5 0

3 years ago

Geometry :))), please help me

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$