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kotykmax [81]
3 years ago
12

What is the slope of the line represented by the equation y = –x + ? – –

Mathematics
2 answers:
Svetlanka [38]3 years ago
8 0

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the "y" axis

We have, according to the data provided, that the line is of the form:

y = -x + b

That means that the slope is -1.

ANswer:

m = -1

Goshia [24]3 years ago
8 0

Step-by-step answer:

Assuming the equation is y=-x+k,

where k is a constant, such as 5, pi, 10/7, etc.

then the slope is the coefficient of the term containing x, namely

-1  (since -x is a shorthand for (-1)*x ).

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Solve System Below<br><br> 5x + 8y = 3<br> 5x + 9y = 3
Aleks04 [339]

Answer:

Step-by-step explanation:

-5x - 8y = -3

5x + 9y = 3

y = 0

5x + 0 = 3

5x = 3

x = 3/5

(3/5, 0)

5 0
3 years ago
In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
Find the area of a square whose side is 9.4cm .
BigorU [14]

Area = {(9.4)}^{2}

= 88.36 \:  {cm}^{2}

Therefore, area of square is 88.36 cm².

7 0
3 years ago
Factor x3 – 7x2 – 5x 35 by grouping. what is the resulting expression? (x2 – 7)(x – 5) (x2 – 7)(x 5) (x2 – 5)(x – 7) (x2 5)(x –
mars1129 [50]

The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)

<h3>What is an expression?</h3>

An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division

x^3 – 7x^2 – 5x + 35

factor the given equation

x^2(x – 7) – 5(x - 7)

Factor out x - 7

(x^2 - 5)(x - 7)

Therefore, the factored expression is (x^2 - 5)(x - 7)

To learn more about the factored expression visit:

brainly.com/question/723406

7 0
2 years ago
Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x
mihalych1998 [28]
1. We are asked to simplify the expression : \frac{ x^{2} +x-12}{ x^{2} -x-20}/  \frac{ 3x^{2} -24x+45}{ 12x^{2} -48x-60}

2. First thing we can do is to flip the second expression, so make the division a multiplication, and also factorize 3 in the numerator and 12 in the denominator of the second expression as follows:

\frac{ x^{2} +x-12}{ x^{2} -x-20}* \frac{12( x^{2} -4x-5)}{3(x^{2} -8x+15)}

3. Now factorize each of the quadratric expressions using the following rule:

when we want to factorize x^{2} +ax+b, we look for 2 numbers m and n, whose sum is a, and product is b:
for example: in x^{2} -x-20, the 2 numbers we are looking for are clearly -5 and 4, because (-5)+4=-1, (-5)*4=-20, so we write the factorized form (x-5)(x+4) 

Now apply the rule to the whole expression:

\frac{(x-3)(x+4)}{(x-5)(x+4)}* \frac{4(x-5)(x+1)}{(x-5)(x-3)}

4. Simplify equal terms in the numerator and denominator:

we get: \frac{4(x+1)}{(x-5)}

Answer: \frac{4(x+1)}{(x-5)}
3 0
3 years ago
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