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3 years ago

2. Which algebraic expression represents the following phrase?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

Square a number ⇒ x²
Square the sum of two numbers ⇒ (x + y)²
Sum of the squares of two numbers ⇒ x² + y²
Square of difference of two numbers (x - y)²
The difference of square two numbers x² - y²

∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

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Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total

zalisa [80]

Hope this helps but I think it might be:
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3 years ago

What is the solution to the equation below? Log6 4x^2-log6x=2

bearhunter [10]

Combine the left hand side, then write both sides as powers of 6:

$\log_64x^2-\log_6x=\log_6\dfrac{4x^2}x=2\implies6^{\log_6\frac{4x^2}x}=6^2$

$\implies\dfrac{4x^2}x=36$

$\implies x^2=9x$

$\implies x^2-9x=x(x-9)=0$

$\implies x=0,x=9$

However, for any base $b$ , $\log_bx$ is undefined if $x=0$ , so the only solution is $x=9$ .

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4 years ago

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Juan only paid $10 for his new letter. He got 25% discount what was the original price of the sweater?

sergiy2304 [10]

Answer:

$12.50

Step-by-step explanation:

so Juan got his sweater at a 25% discount. So we woukd find 25% of 10 and then add it to $10

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3 years ago

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oee [108]

Answer:

38°

Step-by-step explanation:

The angles in a triangle always add up to 180 degrees.

Therefore, all the angles in the triangle given in the question add up to 180 degrees.

So, let's create an equation and solve for $x$ :

$x+44 + 63 + 85 + x = 180$

Simplify:

$2x + 192=180$

Solving for $x$ we get:

$2x=-12\\x=-6$

Now, let's put the value of $x$ we got into the formula for angle A.

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3 years ago

A plane flies due south for 600 miles. It turns and flies 250 miles ,35 degrees east of south. How far is the plane from it’s or

Mariulka [41]

The distance of plane from the origin is 357.14 miles

<u>Explanation:</u>

Given:

distance traveled southwards, y = 600 miles

Distance traveled east of south, z = 250 miles

Angle, θ = 35°

Distance of plane from the origin, x = ?

The figure is attached for reference:

tan θ = Perpendicular / base

tan θ = distance travelled east of south / x

tan 35° = 250 / x

we know,

tan 35° = 0.7

So,

$0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles$

Therefore, the distance of plane from the origin is 357.14 miles

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4 years ago