write the equation of the line, in slope- intercept form, that passes through (0,4) and has a slope of -1/2

Answers

Answer 1

Answer: y=-1/2x+4 since the slope is -1/2 and the y-int is 4.

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5x+2y=7 7x+2y=5 i need it right

Please Help I Have No Idea What They Talking Bout Which level does macroeconomics focus on?
A. personal
B. business
C. government

Answers

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

Answer:

C. government

Step-by-step explanation:

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a club?

Outcome: Club Diamond Heart Spade
Number of trials: 8 12 11 9

A.17%

B.20%

C.25%

D.30%

Answers

I took the test a couple days ago its D. I hope this helps, let me know i you have anymore questions.

Answer: B 20% I took the k12 test

Which is true of point K at (0, –5)? A. Point K is to the left of the y-axis. B. Point K is on the x-axis. C. Point K is on the y-axis. D. Point K is to the right of the y-axis.

Answers

C is the correct one

hope this helps :)

Point P was rotated by 120(the center of rotation is indicated)

Answers

After rotating point P by 120 degrees around the indicated center of rotation, the new position of point P can be calculated using trigonometric principles and the fraction of a full rotation it has undergone, resulting in its new coordinates.

To find the new position of point P, we can use the following steps:

Draw a line segment from the center of rotation to point P.

Measure the angle between the initial position of the line segment and the final position after the rotation. In this case, the angle is 120 degrees.

Divide the angle of rotation by the number of equal parts in a full circle (360 degrees). This will give us the fraction of a full rotation that the point has undergone. In this case,

120/360 = 1/3 of a full rotation.

Using trigonometric functions (sine and cosine), calculate the new coordinates of point P based on its distance from the center of rotation and the fraction of the circle it has rotated through.

To know more about rotation here

brainly.com/question/34828607

#SPJ3

Answer:

I think it is

hope this helps

0.4121212 is an example of a repeating decimal.
True
False

Answers

Answer:

yes

Step-by-step explanation:

when it has the Same numbers over and over it's a repeated decimal

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn't follow the pattern you just described and that can't be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings. x-value Pythagorean Triple 7 (14,48,50) 8 (16,63,65) 9 (18,80,82) 10 (20,99,101)

Answers

Answer:

See explanation

Step-by-step explanation:

A Pythagorean triple is a set of 3 positive integer numbers, a, b, and c which satisfies the Pythagorean theorem: $c^2=a^2+b^2$

Given the identity: $(x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2.$

We verify that the numbers given table are Pythagorean triples.

$14^2+48^2=2500=50^2\n16^2+63^2=4225=65^2\n18^2+80^2=6724=82^2\n20^2+99^2=10201=101^2$

Next, we examine the pattern:

$\left|\begin{array}{c|c|c|c|c}x-value&x^2-1&2x&x^2 + 1&$Triple\n--&--&--&--&----\n7&48&14&50&(14,48,50)\n8&63&16&65&(16,63,65)\n9&80&18&82&(18,80,82)\n10&99&20&101&(20,99,101)\end{array}\right|$

From the pattern, our first number is 2x, the second number is x² - 1, and the third number(hypotenuse) is x² + 1

Next, we show that (x² - 1)² + (2x)² = (x² + 1)² is an identity

$LHS: (x^2 - 1)^2 + (2x)^2 \n= (x^2-1)(x^2-1)+2x^2\n=x^4-2x^2+1+4x^2\n=x^4+2x^2+1$

$RHS: (x^2+1)^2\n= (x^2+1) (x^2+1)\n=x^4+2x^2+1$

Since Left Hand Side=Right hand Side. For all x, the equation is always true.

Therefore, the pattern is true for any Pythagorean triple.

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