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3 years ago

The line passes through the point (4,2) and has slope of -1

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Answer:

y-2 = -1(x-4)

Step-by-step explanation:

We know the slope and a point . We can use point slope form

y-y1 = m(x-x1)

y-2 = -1(x-4)

If we want the equation in slope intercept form

Distribute the -1

y-2 = -x+4

Add 2 to each side

y-2+2 = -x+4+2

y = -x+6

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Which step should be completed first in the following problem 4(27÷3²)

Yakvenalex [24]

Answer:

3²

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

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3 years ago

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Germany, Italy, and Japan formed the Tripartite Pact in part because they:

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Answer:

hoped to convince the United States to stay out of World War II

Explanation:

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2 years ago

Tony buys a washing machine

Lorico [155]

Step-by-step explanation:

£480 = 120% (after adding the 20% VAT).

we want to know how much 100% is.

he do we get from 120% to 100% ?

first the formal long way

£480 = 120%

1% = 120%/120 = 480/120 = £4

100% = 1% × 100 = 4×100 = £400

once you understand this mechanism, you can apply the direct shortcut :

£480 / 1.2 = £400

as a multiplication with 100/120 is the same as a division by 120/100, which is 1.2.

and what we did at the beginning in long form was nothing else than

£480 × 100/120 = 480 × 10/12 = 480 × 5/6 = £400

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1 year ago

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Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis

nikdorinn [45]

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

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2 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

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Answer:

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Step-by-step explanation:

The given expression is

$\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}$

First, we need to factor each denominator

$\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}$

So, the least common factor (LCF) is $x(x-3)(x+3)$ , because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

$\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}$

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Therefore, the expression is equivalent to

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

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2 years ago

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