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Illusion [34]
3 years ago
9

Find the y intercept of -2,5 and 3,25

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

Y-intercept = 13

Step-by-step explanation:

Since, given points are:  

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:  

Since,

Slope= m= y2-y1 / x2-x1  

m= 25 - 5 / 3 - (-2)

m= 20 / 5  

m= 4  

Put ‘m’ in slope intercept form:

y= 4x + b  

Substitute either point into above equation:

25= 4(3) +b

25= 12 + b  

25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.  

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8 0
3 years ago
a game is played with tokens according to the following rule and each round the player with the most tokens gives one token to e
gulaghasi [49]

Answer:

47 rounds and Eve wins.

Step-by-step explanation:

If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.

8 0
2 years ago
Solve for a side in right triangles
elena55 [62]

Answer:

4.50 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 40 = ? / 7

Multiply each side by 7

7 sin 40 = ?

4.499513268 = ?

To the nearest hundredth

4.50 = ?

5 0
3 years ago
The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm ³ of a certain gas is 28
Naily [24]

Answer:

T₂ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K

Hence, the required temperature of the gas is 421.4 K.

4 0
2 years ago
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