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Advocard [28]
3 years ago
9

Confused on how to write the equation due to the graph having a point at (1,2).

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

The line passes through (1,2) and (4,4)

The equation,

\frac{y - y1}{x - x1}  =  \frac{y2 - y1}{x2 - x1}

\frac{y - 2}{x - 1}  =  \frac{4 - 2}{4 - 1}  =  \frac{2}{3}

3(y - 2) = 2(x - 1)

=  > 3y - 6 = 2x - 2

=  > 2x - 3y - 2 + 6 = 0

=  > 2x - 3y + 4 = 0

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A fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss? A. `1/8` B. `3/8` C. `
expeople1 [14]

Answer:

P(heads appears on only the last toss) = \frac{1}{8}

Step-by-step explanation:

A fair coin is tossed 3 times in a row.

When a coin is tossed we get a tail or head T or H

The possible outcomes of 3 coins are

T T T , H H H , T H H, H T H, H H T, H T T , T H T, T T H

So total of 8 possible outcomes

heads appears on only the last toss , first and second toss should be tail

So its T T H. Only one possibility

Probability(any event)  = number of outcomes / total outcomes

P(heads appears on only the last toss) = \frac{1}{8}





6 0
3 years ago
Double the difference of a number n and 3 is -10. Which equation models this "number riddle" correctly?
Cerrena [4.2K]
Answer: D

Explanation
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Which statement is true for an equilateral triangle?
bezimeni [28]
It has all angles measuring 60°
8 0
3 years ago
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The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Darina [25.2K]

Answer:

a) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 0 are x_{1}\approx -0.25 and x_{2} \approx 1.25.

b) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 2 are x_{1}\approx -0.5 and x_{2} \approx 1.5

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial y = 4\cdot x^{2}-4\cdot x -1, where x is related to the horizontal axis of the Cartesian plane, whereas y is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) 4\cdot x^{2}-4\cdot x -1 = 0

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.25, x_{2} \approx 1.25

b) 4\cdot x^{2}-4\cdot x -1 = 2

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.5, x_{2} \approx 1.5

5 0
3 years ago
Please help<br><br>answer choices are:<br><br>A. 46°<br><br>B. 67°<br><br>C. 115°<br><br>D. 134°​
bekas [8.4K]

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC .  Congruent angles

∠XAC = 1/2(46) = 23° .  because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° .  Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

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8 0
3 years ago
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