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Tju [1.3M]
3 years ago
9

O A) 9.1 O B) 8.9 O C) 14.4 D) 10.3

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

B) 8.9

Step-by-step explanation:

12^2 - 8^2 = square root144 - sq root64 = sq root80 = 8.9

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Consider the following equation.
Natali [406]

\\ \tt\longmapsto 6(-x)+4=3x+1

\\ \tt\longmapsto -6x+4=3x+1

\\ \tt\longmapsto -6x-3x=1-4

\\ \tt\longmapsto -9x=-3

\\ \tt\longmapsto x=\dfrac{1}{3}

7 0
3 years ago
The area of a square room can be expressed as 196x12y10z6 square feet . hajime is installing a wallpaper border along the perime
jeka94

The perimeter of the room will be 56x^6y^5z^3 feet

<h3>Area of a square</h3>

A square is quadrilateral with 4 sides. The formula for calculating the area of the shape is given as:

A = L²

Given the following parameters

A = 196x^{12}y^{10}z^6

Substitute

L²=196x^{12}y^{10}z^6
L=\sqrt{196x^{12}y^{10}z^6}\\L=14x^6y^5z^3

Determine the perimeter

Perimeter = 4L

Perimeter = 4(14x^6y^5z^3)

Perimeter = 56x^6y^5z^3

Hence the perimeter of the room will be 56x^6y^5z^3 feet

Learn more on area and perimeter of square here: brainly.com/question/25092270

#SPJ1

7 0
2 years ago
Solve the following equation by first writing the equation in the form ax^2 = c<br><br> t^2 - 49 =0
JulijaS [17]
T^2 - 49 =0
t^2=49
t=7 or t=-7
7 0
3 years ago
Read 2 more answers
Find the slope between these two points:<br> (-5, 8), (-5,-9)
Elena L [17]

Answer:

The slope is undefined.

Step-by-step explanation:

The slope of a line is its relationship between its change in verticalness and its change in horizontalness. In layman's terms, we call it rise over run. Slope can be useful for many things: to show how steep a line is, to write a line in slope-intercept form (y = mx + b), etc.

Recall that a line only needs two points to be formed. That's why slope matters so much. With lines, we only care about its steepness and its position on the coordinate plane, so slope knocks out one of those criteria.

One way to find slope is to use the definition of slope, the change in verticalness (y) divided by the change in horizontalness (x):

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

where m is the slope of the line;

and x1, y1, x2, and y2 are coordinates for points (x1, y1) and (x2, y2).

So let's use what we now know to solve the problem.

Since (-5,8) and (-5,9) are two points, they can form a line. So I can say that x1 = -5, y1 = 8, x2 = 5, and y2 = 9. Now, let's plug these numbers into the formula.

m=\frac{-9-8}{-5-(-5)}

m = \frac{-17}{0}

"Wait, what's going on? I thought I can't divide by 0." - You

Yes, exactly. But what we have here is a special case of a line, nothing more. Let me explain.

Lines don't always have a natural number for a slope, like m = 1. There are two special lines that deviate from the norm: horizontal lines and vertical lines.

Horizontal lines have a slope of zero. This is because they change in x, but not in y. So y appears as 0 in the formula: 0/x = 0. That's why horizontal lines have a slope of zero. They are usually written as y = C where C is some constant.

Vertical lines have an undefined slope. We're dealing with this type of line for our problem. They change in y, but not in x. So x appears as 0 in the formula: y/0 = undefined. We simply cannot divide by zero. That's why vertical lines have undefined slopes. They are usually written as x = C where C is some constant.

So there you go. (-5, 8) and (-5, -9) form a vertical line that has an undefined slope. And if you really want to know the equation for this line, it's x = -5.

6 0
2 years ago
Please show work if you do, ( and get it right) I will make you brainliest!!!
DerKrebs [107]

Answer:

The percentage increase in bird population in the second years is 4%  .

Step-by-step explanation:

Given as :

During two years, the population of birds of an island became 7 times more than before.

The the percentage increase in first year = = r_1 =40%

Let The percentage increase in second year =  r_2 = r%

So, According to question

The initial population of bird = x

The increase population of bird =7 times before = 7 x

Now,

The increase population of bird = initial population of bird × (1+ \dfrac{r_1}{100}) ×  (1+ \dfrac{r_2}{100})

Or, 7 x = x × (1+ \dfrac{40}{100}) ×  (1+ \dfrac{r}{100})

Or, \dfrac{7 x}{x} = 1.4 ×  (1+ \dfrac{r}{100})

Or, 7 = 1.4 ×  (1+ \dfrac{r}{100})

Or, \dfrac{7 }{1.4} = (1+ \dfrac{r}{100})

Or, 5 = (1+ \dfrac{r}{100})

Or, (1+ \dfrac{r}{100}) = 5

Or, \dfrac{r}{100} = 5 - 1

Or,  \dfrac{r}{100} = 4

∴ r = 4 × 100

I.e r = 400

so, The percentage increase = r% = 4

Hence The percentage increase in bird population in the second years is 4%  . Answer

3 0
3 years ago
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