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Sindrei [870]
3 years ago
12

Which of these are the intercepts of the graph of y = 3x – 12?

Mathematics
2 answers:
Lunna [17]3 years ago
7 0
Hello there! :) To find one intercept, you'll need to set the other one to 0. For instance: x intercept: y=0 y intercept: x=0 X Intercept: 0= 3x-12 Add 12 to both sides to isolate x. 0+12= 3x-12+12 12= 3x Divide both sides by 3. 12/3=3x/3 4= x intercept Y Intercept: You could plug in x as 0 and solve, but a quick way to find it in a slope-intercept equation is to look at the number at the end (without the x.) In this problem it would be -12. Hope this helps! :) Let me know if you need any additional helps.
charle [14.2K]3 years ago
5 0
Y intercept is (0,-12), the x-intercept is (4,0)
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You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca
Crazy boy [7]

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

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2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

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2 years ago
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8 0
3 years ago
If the length of AB is 10 cm from the center and has a length of 12, find the approximate length from the center to CD.​
Lynna [10]

<u>Given</u>–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

<u>Construction</u>–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

<u>Solution</u>,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

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