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3 years ago

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What is the answer of

}{75} " alt=" \frac{47.8}{75} " align="absmiddle" class="latex-formula">

2 answers:

Novosadov [1.4K]3 years ago

7 0

The answer is 0.637333333333333

makvit [3.9K]3 years ago

7 0

What is the answer of

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Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Inessa [10]

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6 take the number -3

negative reciprocal = -1/6 negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

3 0

3 years ago

Five times the sum of a number and 27 is greater than or equal to six times the sum of that

AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

<em>Five times the sum of a number and 27 </em>is written as: $5(x + 27)$

<em>greater than or equal </em>is written as: $\geq$

<em>six times the sum of that number and 26' </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

solving

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

<em /> $5x+135\ge \:6x+156$ <em />

<em /> $5x+135-135\ge \:6x+156-135$ <em />

<em /> $5x\ge \:6x+21$ <em />

<em /> $5x-6x\ge \:6x+21-6x$ <em />

<em /> $-x\ge \:21$ <em />

<em /> $\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$ <em />

<em /> $\left(-x\right)\left(-1\right)\le \:21\left(-1\right)$ <em />

<em /> $x\le \:-21$ <em />

Therefore,

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

6 0

3 years ago

Law of cosine find m<B a=11 b=12 c=17

Andrei [34K]

Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) = <span> <span> <span> 0.7112299465
Angle B = </span></span></span>44.665 degrees

3 0

3 years ago

The first term of a geometric sequence is –2 and the common ratio is -1/4. What are the next three terms of the sequence?

Gelneren [198K]

I agree with the answer being B because since it's a common ratio you could just multiply -1/4 with -2 and keep doing that with each new term

3 0

3 years ago

14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final c

snow_tiger [21]

Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.

Step-by-step explanation:

1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.

2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

3 0

3 years ago