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3 years ago

The following polynomial can be factored using the techniques of this lesson x^2-18

Mathematics

2 answers:

Papessa [141]3 years ago

8 0

Answer:

$(x+3\sqrt{2})(x-3\sqrt{2})$

Step-by-step explanation:

The given expression is $x^2-18$ .

The technique that can be used to factor this polynomial is the difference of two squares.

We rewrite the two expressions as;

$x^2-(\sqrt{18})^2$

Recall that;

$a^2-b^2=(a+b)(a-b)$

$x^2-(\sqrt{18})^2=(x+\sqrt{18})(x-\sqrt{18})$

$x^2-(\sqrt{18})^2=(x+3\sqrt{2})(x-3\sqrt{2})$

marshall27 [118]3 years ago

6 0

Answer:

The answer is false.

Step-by-step explanation:

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---Kara is sending a gift to her grandmother. The gift was wrapped in a cube-shaped box with side lengths of 6 in. she wants to

cupoosta [38]

Answer:

Step-by-step explanation:

6*6*6=216

Base Area*Height= Volume

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3 years ago

Read 2 more answers

For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel

Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

$y=mx+b$

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

$5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2$

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

$3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3} \\\\y=\frac{a}{3}x-5\\\\$

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

$m_1=m_2$

we equation both the slope to each other to find the value of a like this,

$m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a$

so the value of a equals

a= -6/5

8 0

3 years ago

Find the degree of the term -5x to the power of 4

marysya [2.9K]

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

5 0

3 years ago

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Anna007 [38]

Answer:

yes; 1.25

Step-by-step explanation:

The length to width ratios of the rectangles are ...

A: 12/8 = 1.5

B: 15/10 = 1.5

C: 30/15 = 2.0

Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.

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3 years ago

A store has 7 red shirts, 15 black shirts, 13

AleksAgata [21]

Answer:First you have to add all of the shirts together, which gives you: 40

Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.

Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.

That leaves you with the answer of: 3/8

6 0

3 years ago