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2 years ago

Y = -4/3x − 1 y = 1/3x + 4

Mathematics

1 answer:

Tom [10]2 years ago

7 0

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

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If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con

yarga [219]

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

circumference of the circle

- A diameter of a circle is a chord passes through the center of the

circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

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* The chord is bisected

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3 years ago

Read 2 more answers

HELP! Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the

ch4aika [34]

Answer:

{ x | x ≥ 0 }

Step-by-step explanation:

Given,

There is a straight line started from (0, 9) and passes through (8, 1),

∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,

Thus, the line is defined for all real values of x greater than 0,

Hence, Domain of the line = All real numbers greater than equal to 0,

i.e. { x | x ≥ 0 }

Thus, FIRST OPTION is correct.

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3 years ago

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A concert hall seats 802 people in the balcony and 6887 on the main floor there were a concert in June and the ticket was sold f

tatuchka [14]

Answer: 7689 tickets

Step-by-step explanation:

Since tickets was sold for every seat, the total number of tickets that were sold will be the addition of the 802 seats in the balcony and 6887 seats on the main floor. This will be:

= 802 + 6887

= 7689 tickets

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2 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being: