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3 years ago

Factorise : a²+b²-c²+2ab

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

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Which set has the greatest range?{10,14,8,19,22,13,44}. {19,16,50,18,29,23,37}.{11,9,31,29,15,17,20,24}. {12,6,24,20,44,15,29}

matrenka [14]

Answer: fourth set have them highest range which is 38

Step-by-step explanation:

Range=highiest number-lowest number

First range:

Range=44-8

Range=36

Second range:

Range=50-16

Range=34

Third range:

Range=31-9

Range=22

Fourth range:

Range=44-6

Range=38

5 0

3 years ago

Read 2 more answers

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i

DIA [1.3K]

Answer:

16.67% probability of getting 2 blues

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability of getting 2 blues?

Desired outcomes:

Two blue marbles, from a set of 4.

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes:

Two marbles, from a set of 9.

$T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36$

Probability:

$p = \frac{D}{T} = \frac{6}{36} = 0.1667$

16.67% probability of getting 2 blues

6 0

3 years ago

Question 1: Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same poin

Zarrin [17]

Car B will pass Car A at one pm

5 0

3 years ago

Help me please i dont understand

ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: $\frac{y_2-y_1}{x_2-x_1}$ which is essentially $\frac{rise}{run}$ . The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: $\frac{4- (-2)}{2- (-3)} = \frac{6}{5}$ that's the rate of change