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3 years ago

14

Find the length of side x in simplest radical form with a rational denominator.

1 answer:

Leto [7]3 years ago

7 0

<h3>Answer: $2\sqrt{5}$ </h3>

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

a = $\sqrt{10}$
b = $\sqrt{10}$
c = x

Use the pythagorean theorem to solve for x

$a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\$

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A train left Podunk and traveled north at 75 km/h. Two hours later, another train left Podunk and traveled in the same direction

Andreyy89

Answer:

8 hours

Steps:

Train 1:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 75, 150, 225, 300, 375, 450, 525, 600

Train 2:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 0, 0, 100, 200, 300, 400, 500, 600

6 0

3 years ago

Find the slope of the line 0,-19 20,15

AysviL [449]

The slope is 1 and 7/10

7 0

3 years ago

7275 in scientific notation

storchak [24]

I’m 98% sure it’s 7.275*10^0

3 0

3 years ago

Richard simplified an expression in three steps, as shown:

soldi70 [24.7K]

Answer:

Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.

Step-by-step explanation:

We are given that Richard simplified an expression in threes steps

We have to find the incorrect step in simplification of Richard

Step 1: all the exponent are multiplied by 3

$\frac{x^{-4}y^2}{yx^2\cdot x^2y^{-4}}^{3}=\frac{x^{-12}y^6}{y^3x^6\cdot x^6y^{-12}}$

Step 2:The exponents in the denominator are multiplied

$\frac{x^{-12}y^6}{y^3x^6\cdot x^6 y^{-12}}=\frac{x^{-12}y^6}{x^{12}y^{-9}}$

Step 3:The exponents of the same base are subtracted during division

$\frac{x^{-12}y^6}{x^{12}y^{-9}}=x^{-12-12}y^{6+9}$

$=x^{-24}y^{15}$

Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.

4 0

4 years ago

Geometry question pls help

sammy [17]

Answer:

37 degrees

Step-by-step explanation:

As XW and YZ are parallel lines, you can use the co-interior angle rule to solve for x.

This is when you see a C-shape between parallel lines. The rule states that the sum of these two co-interior angles is 180 degrees.

Therefore,

⇒ $3x - 5 + 2x = 180$

⇒ $5x - 5 = 180$ [collect like terms of x]

⇒ $5x = 185$ [add 5 to both sides]

⇒ $x = 37$ [divide both sides by 5]

Hope this helps! :D

4 0

3 years ago