What is the equation of a line that is perpendicular to the line y=3x-6 and passes through the point (15,5)?

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

$\mathbf{Shape = Square}$

$\mathbf{Perimeter = 32x + 8}$

The perimeter of a square is:

$\mathbf{Perimeter = 4 \times Length}$

So, we have:

$\mathbf{4 \times Length = 32x + 8}$

Divide both sides by 4

$\mathbf{Length = 8x + 2}$

Hence, the length of the patio is: 8x + 2

Read more about perimeters at:

brainly.com/question/6465134

3 0

3 years ago

What is the remainder of (4x2 + 7x-1)= (4 + x)? A. -9x – 1 B.23x – 1 C.35 D.-37

bearhunter [10]

Answer: I don't know what you meant by remainder but i hope this helps :)

$x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}\\$

Step-by-step explanation:

$\left(4x^2+7x-1\right)=\left(4+x\right)\\\mathrm{Refine}\\4x^2+7x-1=4+x\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\4x^2+7x-1-x=4+x-x\\Simplify\\4x^2+6x-1=4\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\4x^2+6x-1-4=4-4\\\mathrm{Simplify}\\4x^2+6x-5=0\\\mathrm{For\:}\quad a=4,\:b=6,\:c=-5:\\\quad x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}$

$\frac{-6+\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\=\frac{-6+\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{8}\\\\Let\: simplify\: ; -6+2\sqrt{29}\\=-2\times \:3+2\sqrt{29}\\=2\left(-3+\sqrt{29}\right)\\=\frac{2\left(-3+\sqrt{29}\right)}{8}\\=\frac{-3+\sqrt{29}}{4}\\$

$\frac{-6-\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\\\=\frac{-6-\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\\\=\frac{-6-\sqrt{116}}{2\times \:4}\\\\=\frac{-6-2\sqrt{29}}{8}\\\\=-\frac{2\left(3+\sqrt{29}\right)}{8}\\\\=-\frac{3+\sqrt{29}}{4}\\\\\\x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}$

6 0

3 years ago

Read 2 more answers

Write an equation using the following numbers in the chart in point slope form

slavikrds [6]

Answer:

A

Step-by-step explanation:

3 0

3 years ago

Miranda found 4 pieces of an ancient ceramic bowl.

Fofino [41]

Answer:

There are many variables to determine if you have all the complete pieces some are the following:

1.- bowl size

2.- the way it broke

3.- the size of the pieces

4.- if the pieces can fit together

5.- if the bowl paint has the same figures

This is important to determine, since if they do not have these requirements, you can find different pieces of different bowls, which will make the pieces never coincide with each other.

7 0

3 years ago

Select the expression that makes the equation true (−3⋅10 3 )⋅(4⋅10 6 ) select 2 answers

scZoUnD [109]

The answer is letter c , because if you multiply the number 4 that is outside with the third power you will get 12 and with the second power you will get 8 and base number stays the same. As an answer you’ll get the same numbers as the expression

5 0

3 years ago