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3 years ago

Is the point (8, -3) a solution to the linear equation 2x + 3y = 12

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

Answer:

No, (8, -3) is not a solution.

Step-by-step explanation:

2x + 3y = 12

(substitute the variables for the point; x = 8 & y = -3)

2(8) + 3(-3) = 12

16 - 9 = 12

7 ≠ 12

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Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

maria [59]

Answer: B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

8 0

2 years ago

An urn contains 12 balls, of which 4 are white.

wel

Answer:

a) $\frac{1}{3}$

b) $\frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...$

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let $A_i\,,\,B_i\,,\,C_i$ denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution: $P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}$

b)the balls that are withdrawn are not replaced.

Solution:

If A wins: $P(A_1)=\frac{4}{12}=\frac{1}{3}$

If A lost and B wins: $P\left ( B_1|A_1^{c} \right )=\frac{4}{11}$

If A and B lost and C wins: $P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}$

and so on....

4 0

3 years ago

Complementary angles equal 90 degrees true or false

barxatty [35]

False, Complementary angles equal to 180 degrees and Supplementary angles equal to 360 degrees

7 0

3 years ago

What does πr² mean and how do I solve it

BlackZzzverrR [31]

U do the radios first then what ever your anwser is u multipy it by 3.14

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3 years ago

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JoAnn is taking a trip to visit her family. After one day of driving, she has traveled 315.2 miles. If JoAnn lives 510 miles fro

Elena L [17]

Answer:

194.8 miles

Step-by-step explanation:

510 - 315.2 = 194.8

Hope this helps!

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2 years ago

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