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3 years ago

PLEASE HELPP IM TIMED I'LL DIE I'LL GIVE BRAINLIEST AND 50 POINTSSS

Mathematics

1 answer:

spayn [35]3 years ago

4 0

9514 1404 393

Answer:

3x -4y = -9

Step-by-step explanation:

Multiply by 4 to clear the fraction.

4(y -6) = 3(x -5)

Subtract the left-side term to get variables on the same side, with a positive x-coefficient.

0 = 3(x -5) -4(y -6)

Eliminate parentheses and collect terms.

0 = 3x -15 -4y +24

0 = 3x -4y +9

Subtract 9 and swap sides to get standard form.

3x -4y = -9

_____

Standard form is ...

ax +by = c

where a ≥ 0, and a, b, c are mutually prime integers. If a=0, then b > 0.

The attached graph shows the equations give the same line. The original line is shown dotted so that you can see they overlap.

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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to

In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

3 0

3 years ago

Anyone know this? Sorry if the image is bad.

PilotLPTM [1.2K]

The answer is B). graph B

8 0

3 years ago

Jason wants to plant 66 carrot seeds and 44 onion bulbs. He would like to plant them so

dexar [7]

The greatest number of plants he can have in each row is 22

He would have 3 rows of carrots

He would have 2 rows of onions

<h3>Greatest Common Factor</h3>

From the question, we are to determine the greatest number of plants he can have in each row

From the given information,

Jason wants to plant 66 carrot seeds and 44 onion bulbs

The greatest number of plants he can have in each row is the greatest common factor of 66 and 44

Factors of 66: 1, 2, 3, 6, 11, 22, 33, and 66

Factors of 44: 1, 2, 4, 11, 22 and 44

The greatest common factor of 66 and 44 is 22

Thus,

The greatest number of plants he can have in each row is 22

He would have 66/22 rows of carrots

66/22 = 3

Thus,

He would have 3 rows of carrots

He would have 44/22 rows of onions

44/22 = 2

Hence, he would have 2 rows of onions

Learn more on Greatest Common Factors here: brainly.com/question/5535901

#SPJ1

3 0

1 year ago

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

$t=0.05310559006s$

4 0

2 years ago

A gain of 180 feet is what?

adelina 88 [10]

Answer:

+180

Step-by-step explanation:

8 0

3 years ago