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2 years ago

Find the slope of a line that passes through the points (3, -5) and (-7,5)

Mathematics

1 answer:

STatiana [176]2 years ago

4 0

Answer:

Slope = -1

Step-by-step explanation:

$(3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)$

$Slope = \frac{y_2-y_1}{x_2-x_1}$

Substitute values into the given equation

$slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\$

$slope \: = \frac{10}{ - 10} \\ slope \: = - 1$

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Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7

GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a \times b + a \times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is $-28xy + 35y$

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

$-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)$

Thus,

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0

2 years ago

Am i right if not pls help<br> will mark brainliest!!!

Vanyuwa [196]

Answer:

you are right............

4 0

2 years ago

Read 2 more answers

PLEASE HELP!!! I NEED THE ANSWER SOON :)

densk [106]

$y=2x \newline y= x^{2} -3$

Substitue 2x for y in the second equation:

$2x= x^{2} -3$

Rearrange to $a x^{2} +bx+c=0$ form:

$x^{2} -2x-3=0$

Factor:

$(x-3)(x+1)=0$

Zeros are $x=3$ and $x=-1$

To find y-coordinates of pts of intersection, plug these x-values into first equation to get $y=-2$ and $y=6$

4 0

2 years ago

Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided

scoray [572]

Let me express the equation clearly:

lim x→-9 (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation.

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0

2 years ago

Find the area of the small rectangle. 2x + 3 x + 6 x - 5

Sloan [31]

Answer:

11x-5

Step-by-step explanation:

8 0

2 years ago