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2 years ago

The points (-4,2) and (4,r) lie on a line with slope -1. Find the missing cooridnate r

Mathematics

1 answer:

Oksanka [162]2 years ago

4 0

r = -6

Step-by-step explanation:

The slope of a line is defined as

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Let $P_1(-4, 2)$ and $P_2(4, r)$ . Since m = -1, we can write

$-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}$

$r - 2 = -8 \Rightarrow r = -6$

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Answer: 975

Step-by-step explanation:

The cost would be 975

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2 years ago

Suppose that the functions s and t are defined for all real numbers x as follows.

jeka94

Answer:

$(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39$

Step-by-step explanation:

Given functions are:

$s(x)= x+6\\t(x)= 4x^2$

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

$(s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2$

Also we have to find

(s-t)(x) => we have to subtract function t from function s

$(s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2$

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

$(s+t)(x) = s(x)+t(x)\\= x+6+4x^2$

Putting x = -3

$= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39$

Hence,

$(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39$

8 0

2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Divide 25 1858.<br> To find the quotient, start by dividing

Pavlova-9 [17]

Answer:

74.32

Step-by-step explanation:

1,858 divided by 25= 74.32

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2 years ago

How to solve 25=9-3.2h

BARSIC [14]

To solve this, you want to isolate h. Start by subtracting 9 from both sides: 16 = -3.2h. Divide by -3.2: h = -5

4 0

2 years ago

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