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Genrish500 [490]
3 years ago
10

20 points

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )

y₂ = 9

y₁ = 7

x₂ = 4

x₁ = -2

y₂ - y₁ = 9 - 7 = 2

x₂ - x₁ = 4 - -2 = 6

2 ÷ 6 = 1/3

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0.0097 mg = _____ g
Svetradugi [14.3K]
 I believe the answer is 9.7e-6
6 0
3 years ago
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In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.​
ycow [4]

Answer:

  • 84°

Step-by-step explanation:

∠VTY is the tangent chord angle

  • Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

  • Inscribed angle is the half of the intercepted arc

<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>

  • ∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

  • m∠T = m∠V = 48°

<u>The measure of angle S</u>

  • m∠S = 180° - 2*48° = 84°

<u>The required angle</u>

  • m∠VTY = 84°
4 0
3 years ago
Read 2 more answers
Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

5 0
3 years ago
PLEASEEEE HELP I WILL GIVE BRAINLIEST!!
I am Lyosha [343]

Answer:

The average is 5.41666667 degrees.

Step-by-step explanation:

3 0
3 years ago
Determine the equation of the polynomial, p(x),in both factored and standard form.
melamori03 [73]

We can see that the graph touches x=-1 without crossing the x-axis (i.e. it is a double solution), and then there's another zero at x=2 (this time it's a crossing zero, so a single solution).

This leads, up to multiple, to the polynomial

p(x)=a(x+1)^2(x-2)

If we impose the passing through (0,4) we have

p(0)=4=a(1)(-2) \iff -2a=4 \iff a=-2

So, the polynomial is

p(x)=-2(x+1)^2(x-2)=-2 x^3 + 6 x + 4

Finally, to solve p(x), simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if x>2, so that's the solution to your question.

4 0
3 years ago
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