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3 years ago

Please help I will mark brainliest

Mathematics

1 answer:

shutvik [7]3 years ago

3 0

Answer:

slope = - 50

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, 2400) and (x₂, y₂ ) = (12, 2000) ← 2 points on the line

m = $\frac{2000-2400}{12-4}$ = $\frac{-400}{8}$ = - 50

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Round 6.8 to nearest hundredth

Andrej [43]

Answer:

6.8

Step-by-step explanation:

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3 years ago

Find the least common denominator (LCD) of 5/8 and 1/4

Effectus [21]

Answer:

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

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3 years ago

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Kiran and Mai are trying to figure out if this equation is an identity, what do you think

ValentinkaMS [17]

Expanding the left side of the equation, it is found that since both sides are equal, yes, it is an identity.

An equality represents an identity if both sides are equal.

In this problem:

$(a - b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4$

Expanding the left side:

$(a - b)^2(a - b)^2 = a^4 - 4a^3b + 6a^2b^2 + 4ab^3 + b^4$

$(a^2 - 2ab + b^2)(a^2 - 2ab + b^2) = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4$

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Since both sides are equal, yes, it is an identity.

A similar problem is given at brainly.com/question/24866308

7 0

3 years ago

Find the equation of a line that passes through (-5,4) and us parallel to y=-6/7x+3

irina [24]

Given:

The given equation of line is

$y=-\dfrac{6}{7}x+3$

To find:

The equation of line that passes through (-5,4) and is parallel to the given line.

Solution:

Slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

We have,

$y=-\dfrac{6}{7}x+3$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{6}{7}$

Slope of given line is $m=-\dfrac{6}{7}$ .

Slope of parallel lines are same. So, slope of parallel line is $m=-\dfrac{6}{7}$ .

The required line passes through (-5,4) with slope $m=-\dfrac{6}{7}$ . So, the equation of line is

$y-y_1=m(x-x_1)$

$y-4=-\dfrac{6}{7}(x-(-5))$

$y-4=-\dfrac{6}{7}(x+5)$

$y-4=-\dfrac{6}{7}x-\dfrac{30}{7}$

Adding 4 on both sides, we get

$y=-\dfrac{6}{7}x-\dfrac{30}{7}+4$

$y=-\dfrac{6}{7}x+\dfrac{-30+28}{7}$

$y=-\dfrac{6}{7}x-\dfrac{2}{7}$

Therefore, the correct option is a.

8 0

3 years ago

Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers

VladimirAG [237]

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3 years ago