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2 years ago

Due tomorrow plz help. D-F3

Mathematics

1 answer:

Nostrana [21]2 years ago

8 0

D.
slope = -3
passing thru(4,3)
y = mx + b
3 = -3(4) + b
b = 15

equation
y = -3x + 15

E.
(4,5)(6,9)
slope = (9-5)/(6-4) = 4/2 = 2
passing thru (4,5)(6,9)
y = mx + b
5 = 2(4) + b
b = -3

equation
y = 2x - 3

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djverab [1.8K]

650 cannonballs

Explanation step by step:

upper layer = 1 ^ 2

second layer = 2 ^ 2

third layer = 3 ^ 2

layer 12 is 12 ^ 2

The formula is:

n * (n + 1) * (2n + 1) / 6 

n = 12 

12 (12 + 1) (2 * 12 + 1) / 6 

12 * 13 * 25/6 = 

650 

 

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2 years ago

Read 2 more answers

A bag contains 3 red marbles 4 blue marbles and 7 Green marbles if two marbles are drawn out of the bag what is the probability

mr_godi [17]

Answer:

0.368

Step-by-step explanation:

Number of red marbles= 3

Number of blue marbles= 4

Number of green marbles= 7

Total number of marbles= 3+4+7= 14

Let the first ball is taken out to be red

P(R)= $\frac{3}{14}$

than again a second ball is drawn, number of balls left= 14-1=13

Number of red= 2

P(R)= $\frac{2}{13}$

Total probability= $\frac{3}{14}$ + $\frac{2}{13}$

Total probability= 0.368

Hence, the correct answer is 0.368

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2 years ago

Solve the system of linear equations by substitution. −5x+3y=51 y=10x−8

DerKrebs [107]

I would do the work out but it’s a lot of work so heres a picture the work is already done.

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2 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

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3 years ago

7 million as a percentage of 32 million

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21.9% is 7 million as a percentage of 32 million

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3 years ago