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3 years ago

Algebra- is this correct

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

This is the distributive property because you're breaking up the equation and putting it in simpler terms.

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How can you find unknown lengths or widths in an easy way?<br> 30 points!

Nadusha1986 [10]

Since you are in middle school, I will assume simple shapes such as rectangles and squares

area=legnth times width
therefor
width=area/legnth and
legnth=area/width

7 0

2 years ago

Find the value of x

Ivahew [28]

Answer:

x=27

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

90 + x+23 + x+13 = 180

Combine like terms

126 +2x = 180

Subtract 126 from each side

126-126 +2x=180-126

2x =54

Divide by 2

2x/2 = 54/2

x = 27

4 0

2 years ago

Find the slope of the line passing through the points (-5, 3) and (7, 9)

rodikova [14]

$\sf{\red{Answer}}$

$\sf{m = \frac{1}{2} }$

$\sf{\purple{Explanation}}$

$\sf{m = \frac{y_{2}- y_{1}}{m_{2} - m_{1}} }$

$\sf{m = \frac{9- 3}{7- ( - 5)} }$

$\sf{m = \frac{6}{7 + 5} }$

$\sf{m = \frac{6}{12} }$

$\sf{m = \frac{1}{2} }$

3 0

1 year ago

The help is needed for these times

rosijanka [135]

Answer:

This be soooo hard ;w;

Step-by-step explanation:

.w.

3 0

2 years ago

Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

$5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)$

b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

5 0

3 years ago