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pentagon [3]
3 years ago
6

The straight line PQ with a gradient -2 passing through point (-3, 10). Find the y-intercept of the straight line PQ . Please he

lp me and explain it . Thank you so much ​
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

y- intercept = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope( gradient ) and c the y- intercept )

Here m = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 10) into the partial equation

10 = 6 + c ⇒ c = 10 - 6 = 4

Thus y- intercept c = 4

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Answer:

1/5

Step-by-step explanation:

60 /5 = 12

So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple

P(green) = green/ total = 12/60 = 1/5

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3 years ago
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Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone
Bumek [7]

Answer:

26880 ways

<em></em>

Step-by-step explanation:

Given

Crust = 4

Toppings = 10

Cheese = 8

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in ^4C_1 ways

For the toppings:

3 can be selected from 10 in ^{10}C_3 ways

For the cheeses:

3 can be selected from 8 in ^{8}C_3 ways

Total number of selection is:

Total = ^4C_1 * ^{10}C_3 * ^{8}C_3

Apply combination formula:

Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}

Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}

Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}

Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}

Total = 4 * \frac{720}{6} * \frac{336}{6}

Total = 4 * 120* 56

Total = 26880

<em>Hence, there are 26880 ways</em>

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