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2 years ago

5

Can someone help me with this math equation? Can you explain how to work it out also?

2 answers:

leonid [27]2 years ago

5 0

Answer: 50

<h2>Explanation:</h2><h3>What we know:</h3>

The numerator is 6
The denominator is equal to (3*5)^(-2)
In fraction-style equations, the numerators are divided by denominators
Negative exponents are equal to (base)^|power|, and then reversing the products place in the fraction

<h3>How to solve:</h3>

By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

<h2>Process:</h2><h3>Exponent</h3>

Set up equation 6 / [3 * 5^(-2)]

Rewrite power 6 / [3 * (5 * 5)]

Simplify power 6 / [3 * (25)]

Invert power 6(25) / 3

<h3>Simplifying</h3>

Set up equation 6(25) / 3

Simplify 150 / 3

Simplify (using common denominator) 50 / 1

Rewrite in simplest form =50

Answer: 50

lawyer [7]2 years ago

3 0

50 I did this one yesterday

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3 years ago

Co-ordinate Geometry

saul85 [17]

Answer:

The value of a = 14

Step-by-step explanation:

Given

(x₁, y₁) = (2, 4)

(x₂, y₂) = (6, a)

(x₃, y₃) = (-1, 1)

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Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

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Multiply both sides by 2

$\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2$

simplify

$\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18$

As the area is always positive.

so

$2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18$

$2\left(a-1\right)-18-\left(4-a\right)=18$

Add 18 to both sides

$2\left(a-1\right)-18-\left(4-a\right)+18=18+18$

simplify

$2\left(a-1\right)-\left(4-a\right)=36$

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Divide both sides by 3

$\frac{3a}{3}=\frac{42}{3}$

$a=14$

Thus, the value of a = 14

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3 years ago

Where is the answer to the expression 4 − 8 located on a horizontal number line?

alexandr402 [8]

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Since 4-8 = -4

Hope this helps!

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