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2 years ago

Determine the intercepts of the line.

Mathematics

1 answer:

kifflom [539]2 years ago

6 0

Answer:

x-intercept: (3, 0)

y-intercept: (0, -10)

Step-by-step explanation:

X-intercept:

We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.

Y-intercept:

The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.

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Determine if the events A and B are independent. Show all steps.

zmey [24]

Answer:

$P(A U B ) = \frac{13}{25}$

Step-by-step explanation:

STEP:-1

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

STEP:- 2

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

Step(iii):-

$P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{25}$

$P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$

4 0

2 years ago

Determine if the following sequence is an Arithmetic Sequence. If it is, what would be the 31st term? NOTE: an=a1+(n-1)d

Ivan

<h3>Key points :-</h3>

᪥ The formula to find the 31st term is : $\sf \: a_{n} = a_{1} + (n - 1) \times d$

᪥ In the formula, $\sf \: a_{1}$ represents the first term of the sequence.

᪥ $\sf\:n$ is the number of terms, In our case n is 31.

᪥ $\sf\:d$ is the common difference between the terms, In our case d is 4.

$\green{ \rule{300pt}{3pt}}$

Detailed Solution is attached᭄

3 0

1 year ago

Read 2 more answers

Which of the following circles have their centers in the second quadrant? Check all that apply.

ivann1987 [24]

The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

 D) (x + 2)² + (y - 5)²= 9
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.

7 0

3 years ago

A cake with a regular hexagonal top is sliced along each of its 9 diagonals what percent of the resulting 24 pieces are triangle

jeyben [28]

i guess it means that its a cake with a top shaped like a hexagon. if you were to use paper and cut out a hexagon then fold it, you would find out that it has 9 diagonals(meaning that you are able to fold it equally into 9 pieces). when it is unfolded, you will see 24 pieces and you will have to figure out which of the 24 pieces are triangles and which are not. after that, you calculate the percentage of triangles.

after you are finished with the paper, you apply the information to the cake.
i'm not sure if this is right, but you can try it out.

5 0

3 years ago

Read 2 more answers

Which problem is molded by the equation 4x-5=45?

kolezko [41]

Answer: B.

Step-by-step explanation:

See attached. We examine the equation and decide which situation, or problem, models it correctly.

5 0

2 years ago