Simplify using positive exponents
(x–2y–4x3) –2

Answers

Answer 1

Answer: $(x-2y-4x^3)-2$

Remove the parentheses (a) = a

$= x-2y-4x^3-2$

hope this helps!

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Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4
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Ind the slope of the line passing through the given points, when possible. (If an answer Js undefined, enter UNDEFINED. ) (-1,-15) and (6,-15)

Answers

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = $(y_(2)-y_(1) )/(x_(2)-x_(1) )$

let (x₁, y₁ ) = (- 1, - 15 ) and (x₂, y₂ ) = (6, - 15 )

substitute these values into the formula for m

m = $(-15-(-15))/(6-(-1))$ = $(-15+15)/(6+1)$ = $(0)/(7)$ = 0

Two triangles are similar. The sides of the first triangle are 8,10 and 12. The smallest side of the second triangle is 24. Find the perimeter of the second triangle.

Answers

The perimeter of the second triangle is 90 units.

What are similar figures?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

$L = k * M$

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

For this case, the two considered triangles are similar. Thus:

A side of first triangle = k times corresponding side of its similartriangle

where k is the scale factor, constant for one pair of similar triangles.

We're given that:

Sides of first triangle are of 8,10 and 12 unit length.

Smallest side of second triangle is of 24 units.

Now, smallest side of first triangle will correspond to the smallest side of its similar triangle.

For first triangle, the smallest side is of 8 units (8 is smaller than 10 and 12, the other two sides).

Let the sides of second triangle be of S = 24 units, M units, and L units.

where M is middle sized side and L is largest side of second triangle.

Let the scale factor be 'k'.

Then, we get:

Smallest side of first triangle = k × smallest side of its similar triangle

$8 = k * 24\n\nk = (8)/(24) = (1)/(3)$

Similarly, middle sized side of first triangle = (1/3) × middle sized side of second triangle

$10 = k * M = (1)/(3) * M\n\nM = 3 * 10 = 30$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Largest side of first triangle = (1/3) × Largest side of second triangle

$12 = k * L = (1)/(3) * L\n\nL = 3 * 12 = 36$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Perimeter of the second triangle = sum of length of its sides

= S + L + M = 24 + 30 + 36 = 90 units.

Thus, the perimeter of the second triangle is 90 units.

Learn more about scale factor here:

brainly.com/question/8765466

so 8*3=24, so multiply all of the sides by 3,
the other 2 are 30 and 36

Rectangle HIJK is dilated to form rectangle TUVW. What corresponding side is proportional to segment JK? Type the answer in the box below.

Answers

Answer: VW

Step-by-step explanation:

By the property of dilation,

If Rectangle HIJK is dilated to form rectangle TUVW,

Then Rectangle HIJK is similar to TUVW,

Thus, by the property of similarity,

The corresponding sides of HIJK and TUVW are proportional to one another.

Since, segment JK is corresponding to segment VW,

⇒ Segment JK is proportional to segment VW.

Answer:

VW

Step-by-step explanation:

Your Welcome

Unknown g (x) = ax + b and g (g (x)) = 16x - 15. Calculate the value of a and b.

Answers

g(g(x))=16x-15
means that when you subsituted g(x) for x in g(x), you got 16x-15

a(ax+b)+b=16x-15
distribute
xa^2+ab+b=16x-15d
we look at the x terms
therefor
xa^2=16x
a^2=16
a=-4 or 4
we will find out

look a constant terms
ab+b=-15
undistribute b
b(a+1)=-15

if a is -4 then
b(-4+1)=-15
b(-3)=-15
b=5

if a=4 then
b(4+1)=-15
b(5)=-15
b=-3

so
g(x)=-4x+5 or
g(x)=4x-3

if a=-4, b=5
if a=4, b=-3

Last one

Please show your work

Answers

Mean = (Sum of values)/(Number of values)

$Mean\n \n =\frac { 55+62+61+54+68+72+59+61+70 }{ 9 } \n \n =\frac { 562 }{ 9 } \n \n =62.4\quad mph\quad (1\quad d.p)\n \n$

Range = Highest Value - Lowest Value

$Range\n \n =72-54\n \n =18\n \n$

It takes Juwan exactly 35 minutes by car to get to his grandmother's the nearest parking area is 4 minute walk from her apartment. One week, he realized that he spent 5 hours and 12 minutes traveling to her apartment in then back home. how many round trips did he make to visit his grandmother?