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3 years ago

5÷x=30 Please Solve Now

Mathematics

1 answer:

alexandr402 [8]3 years ago

4 0

Refer to above picture.

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Find the value of x. No calculator needed. Leave the square root as a part of your answer.

aleksklad [387]

Answer:

5/V2=2.5×V2

Step-by-step explanation:

This is an isoscelle right triangle:

x²+x²=5²

2x²=5²

x=5/V2=5×V2/2=2.5×V2

where V2=sqrt(2)

4 0

3 years ago

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

3 years ago

A. In the diagram above, angles ABCABC and CBDCBD are

Dovator [93]

Answer:

Step-by-step explanation:

3 0

3 years ago

At noon, a tank contained 5 cm of water. After several hours, it contained 4 cm of water. What is the percent decrease of water

Radda [10]

Answer:

the decrease percentage is 25%

6 0

3 years ago

If x+2y=3 and xy=2 show that x³+8y³+9=0

kicyunya [14]

Step-by-step explanation:

<u>Given</u>

x + 2y = 3 and xy = 2
show that x³ + 8y³ + 9 = 0

<u>Solution in steps:</u>

(x + 2y)³ = 3³
x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
x³ + 6x(xy) + 12y(xy) + 8y³ = 27
x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
x³ + 8y³ + 6*3*2 = 27
x³ + 8y³ + 36 - 27 = 0
x³ + 8y³ + 9 = 0

Done

4 0

3 years ago