MATHEMATICS HIGH SCHOOL

Identify the equation of a line in slope- intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1) Show your work PLEASE!!

Answers

Answer 1

Answer:

Answer: y = 3x - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c = intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = -1/3x + 2

Comparing with the slope intercept form, slope = - 1/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through

(2, 1) is 3/1 = 3

To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes

1 = 3 × 2 + c = 6 + c

c = 1 - 6 = - 5

The equation becomes

y = 3x - 5

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Point W ____ is on segment AB so that AW= 1/5AB

Answers

The answer is 1.3.4

Final answer:

In geometry, when it's said that 'Point W is on segment AB such that AW= 1/5AB', it means that the distance between A and W is exactly one-fifth of the total distance from A to B.

Explanation:

This question is based on geometry, especially on segments. Point W is located along segment AB such that the length from A to W is exactly 1/5 of the total length from A to B.

The phrase 'AW= 1/5AB' can be interpreted as the distance between points A and W is one-fifth the distance between points A and B. Or in other words, if you consider the entire length AB as 5 parts, point W is located one part away from point A.

For example, if AB is 10 units long, AW would be 2 units long as AW = 1/5 * 10 = 2. So, you would graph this by marking point A, then moving 2 units along the line to mark point W, and then continue another 8 units to reach point B.

Learn more about Geometry here:

brainly.com/question/31408211

#SPJ12

The area of a rhombus equals half the sum of the diagonals

Answers

The statement is TRUE. There are a lot of formula in getting the area of the rhombus because it is a special shape or a special perpendicular. Dividing the sum of the 2 diagonals divided by 2 is just one way to solve the area. It can also be solve by multiplying the base and the height.

Find the real or imaginary solutions of the equation by factoring. x^4-8x^2=-16

Answers

ANSWER
$x=2$ or $x=-2$
EXPLANATION

The given equation is
${x}^(4) - 8 {x}^(2) = - 16.$

We set everything equal to zero to obtain,

${x}^(4) - 8 {x}^(2) + 16 = 0$

We rewrite the leading term to obtain,

${( {x}^(2) )}^(2) - 8( {x}^(2)) + 16 = 0$

This has now become a quadratic equation in
${x}^(2)$

We split the middle term to get,

${( {x}^(2) )}^(2) - 4 {x}^(2)- 4x^2+ 16 = 0$

We factor to get,

${x}^(2) (x^2-4)-4( {x}^(2)-4) = 0$

We factor further to get,

$( {x}^(2) -4)(x^2-4)= 0$

This gives

$( x-2)(x+2)(x-2)(x+2)= 0$

$( x-2)^2(x+2)^2= 0$

$x=2$ or $x=-2$

Sneakers cost $63, the sales tax rate is 7.5% what is the total cost if the sneakers to the nearest cent

Answers

$total\ cost=\ cost\ of\ sneakers+ 7.5\%*cost\ of\ sneakers\n\ntotal\ cost= 63+7.5\%*63=63+0.075*63=63+4.725=\n67.7\$\n\nTotal\ cost\ is\ 67.7\$.$

4) A sequence is defined recursively by f(1) = 2and f(n) = 3f(n-1) + 1. Find the first three
terms of the sequence.

- How do I do this question and just Recursive Sequences in general?

Answers

$S=[2,7,22,\dots]$ .

Let me explain why.

$f(1)=2$ this is our first term.

$f(2)=3f(2-1)+1=3f(1)+1=7$ second term.

$f(3)=3f(3-1)+1=3f(2)+1=22$ third term.

...

Pretty simple huh?

Hope this helps.

Answer:

The first 3 terms are 2, 7, 22.

Step-by-step explanation:

The n is the sequence number of the term: f(1) means the first term.

The second term

f(2) = 3f(n - 1) + 1 We make n = 2:

= 3f(2-1) + 1

= 3f(1) + 1 f(1) = 2 so:

= 3*2 + 1

= 7.

3rd term f(3)

= 3f(3 - 1) + 1

= 3f(2) + 1

= 3(7) + 1

= 22.

What is the difference? –4.16 – (–2.3)A.
–6.46

B.
–1.86

C.
1.86

D.
6.46

Answers

Simple...

you have -4.16-(-2.3)

but remember there's a negative in front of the (-2.3) so that gets switched into +2.3....

so now you'd have...

-4.16+2.3

=-1.86

Thus, your answer, B.

The answer to your question is B. Hope I helpedd

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