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4 years ago

Help me guys thx so much

Mathematics

2 answers:

navik [9.2K]4 years ago

6 0

Answer:

Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Step-by-step explanation:

Step 1: Multiply

$(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\$

$(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}$

$(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x} )$

$2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}$

$10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Answer: Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Ne4ueva [31]4 years ago

3 0

Answer:

Option 4

Step-by-step explanation:

sqrt(10x⁴) = x²sqrt(10)

sqrt(5x²) = xsqrt(5)

sqrt(15x⁴) = x²sqrt(15)

sqrt(3x³) = xsqrt(3x)

First bracket: (sqrt(10) - sqrt(5))x²

-x²sqrt(5) × xsqrt(3x) = -x³sqrt(15x)

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Natali5045456 [20]

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Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

The points fall on a straight line. They won't do that for a geometric sequence.

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Normally the terms of either sort of sequence are numbered with counting numbers: 1, 2, 3, .... Your x-values are negative, so are obviously not term numbers of a sequence. The differences of x-values are 1, and the differences of y-values are 2.5, so we know the x- and y-values are linearly related. That relationship can be expressed in point-slope form by ...

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3 years ago

Pre-cal help!! (See Attachment)

MAVERICK [17]

$2cos(x) + 1 = 0$

$cos(x) = -\frac{1}{2}$

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3 years ago

Linda is building steps for her porch. What is the volume of the steps?

Greeley [361]

Answer:

The volume of the steps is:

324,000 cm3

Step-by-step explanation:

Remember that the volume regularly is:

Volume = height * width * depth.

There are many forms to solve this exercise, but I'll show you two:

1. Imagine that aren't steps but a big solid, then its volume would be:

Volume of big solid = 60 cm * 60 cm * 120 cm
Volume of big solid = 432000 cm3

Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (where is the blank for the step):

Volume of a small solid = 30 cm * 30 cm * 120 cm
Volume of a small solid = 108000 cm3

Now you subtract:

Volume of the building steps = 432000 cm3 - 108000 cm3
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2. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:

Volume of the building steps = 3 (30 cm * 30 cm * 120 cm)
Volume of the building steps = 324000 cm3

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