Two sides of a triangle have lengths of 120 cm and 95 cm.

8 + 5[(5 + 3)2 - (32 + 2)]

jeka57 [31]

Add: 5 + 3 = 8

Exponentiation: the result of step No. 1 ^ 2 = 8 ^ 2 = 64

Add: 32 + 2 = 34

Subtract: the result of step No. 2 - the result of step No. 3 = 64 - 34 = 30

Multiple: 5 * the result of step No. 4 = 5 * 30 = 150

Add: 8 + the result of step No. 5 = 8 + 150 = 158

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3 0

3 years ago

Read 2 more answers

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

Marat540 [252]

A dilation can elongate or diminish a figure. It can create an image the same as the original by using a scale factor. The scale factor of a dilation is the ratio of corresponding side lengths. To dilate a polygon, multiply the coordinates of each vertex by the scale factor k and connect the vertices.

4 0

3 years ago

Read 2 more answers

Dan recently bought a new mountain bike for $550. His friend works

Wittaler [7]

$990
550 x .80 = 440
$550 + $440 = $990

8 0

3 years ago

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

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Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

8x-9x please help I need it bad

alexandr402 [8]

Answer:

-x

Step-by-step explanation:

8x - 9x

Factor out an x

x(8-9)

x (-1)

-x

7 0

3 years ago