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3 years ago

Is the equation y/x=8 direct variation, inverse variation, or neither? Explain

Mathematics

1 answer:

LuckyWell [14K]3 years ago

5 0

Answer:

It's a direct variation, as the ratio between x and y is constant

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Write the equation of the line that is perpendicular to the liney=-1x/ 3 + 2 and goes through the point (5, 6)

KIM [24]

Answer:

y = 3x-9

Step-by-step explanation:

y = -1/3 x +2

The slope is -1/3

We want a line perpendicular to it

Perpendicular lines have negative reciprocal slopes

The new slope is -(-3/1) = 3

We have a slope m=3 and a point (5,6)

We will use point slope form to find the line

y-y-1 = m(x-x1)

y-6 = 3(x-5)

In slope intercept form

Distribute

y-6 = 3x-15

Add 6 to each side

y-6+6 = 3x-15+6

y = 3x-9

3 0

4 years ago

1. Which property is illustrated by the statement?(statement below)

bearhunter [10]

1. 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.

2. 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.

<h3>What is the Commutative Property of Multiplication?</h3>

The commutative property of multiplication states that the arrangement of change of numbers that you want to multiply does not change what you would get as the product.

For example, a × b = b × a.

In the same vein, 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.

<h3>What is the Commutative Property of Addition?</h3>

The commutative property of addition also states that the order or arrangement of addends will not change the sum you would get.

For example, 3 + 2 = 2 + 3.

Therefore, the statement, 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.

Learn more about the commutative property on:

brainly.com/question/2475734

#SPJ1

7 0

1 year ago

Please help thank you

nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

$(x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20$

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract $x^2(x-2)$ from the original expression, leaving you with $9x^2+2x-40$ .

Next, subtract $9x(x-2)$ from the expression, leaving you with $20x-40$ . Finally, subtract $20(x-2)$ from the expression, leaving you with a remainder of 0. This means that the real quotient is $x^2+9x+20$ . Hope this helps!