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aleksklad [387]
3 years ago
8

What are the x and y intercepts of the line 3x-4y=12

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

x-intercept = 4, y-intercept = - 3

to find the intercepts, that is where the graph crosses the axes

let x = 0, in the equation for y- intercept

let y = 0, in the equation for x- intercept

x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept

y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept


Angelina_Jolie [31]3 years ago
3 0

Hey there...

So this is a tough question.....

<u><em>Let's start with the x first, then we will go to y.</em></u>

So, here is the x.

<u><em>Explanation</em></u>: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.

3x-4(0)=12

<u><em>x=4.</em></u>

So the intercept for<em><u> x = 4.</u></em>

Now we have to do the y.

<u><em>Explanation</em></u>: To find the y, make x = (0), since know that y needs 0 in the front of the number.

3(0)-4y=12

<u><em>y=-3</em></u>

So the<u><em> y = -3.</em></u>


Hope this helps.....


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Korvikt [17]

Answer:

(x. y)=  (4,-6)

Step-by-step explanation:

6 0
2 years ago
A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

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b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

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5 0
3 years ago
Can you help with this. Thanks!
Ierofanga [76]
92 males buy tickets so
200-92=108
so 108 females buy tickets

30 males buy business and a total of 44 people (female and male) but business so 44-30=14
14 females buy business

108-14(business ticket) = 94 females left.
62 of those 94 females buy economy tickets
so therefore 94-62=32. 32 females left over

14 females = business
62 females = economy
14 + 62 = 76
108 - 76 = 32
32 remaining females buy premium


it says a total of 60 people buy premium so 60 - 32 = 28

so 28 males buy premium

hope this helped
3 0
3 years ago
PLEASE HELP ME :( I DONT UNDERSTAND! A teacher already had a certain number of canned goods for the food drive. Each day of the
Fantom [35]
20 should be the answer because 205 divided by 10 =20
3 0
3 years ago
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Advocard [28]

Answer:

357,340

Step-by-step explanation:

Locate the tens place:

357,3<u>3</u>5

Check the number to the right:

357,33<u>5 </u>

<u></u>

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

The number next to the tens place is a '5'. We round up.

357,335 ≈ 357,340

Hope this helps.

5 0
3 years ago
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