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3 years ago

Writing algebraic expressions need help with homework

Mathematics

1 answer:

mina [271]3 years ago

6 0

Answer:

a. 2x-2

b. Samuel's cousin's age

Step-by-step explanation:

To write this expression, first figure out what your variable stands for. In this case, we want x to represent Samuel's cousin's age, since this is an unknown value that will help us determine Samuel's age. Next, we can create an expression. 2x-2 tells us that Samuel is two years younger (represented by the -2 part of the expression) than twice his cousin's age (represented by the 2x part of the expression).

You might be interested in

Which expression has the same value as the one below? 87 + (-12)

hjlf

Answer:

Step-by-step explanation:

Given data

First term= 87

Second term= -12

Hence,

87 + (-12)

open bracket

+*-= -

= 87 -12

=75

Therefore the equivalent is 75

3 0

3 years ago

How do I evaluate:<br> (-1000)1/3

Gennadij [26K]

9514 1404 393

Answer:

-10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

-1000 = (-10)^3

Then your expression is ...

(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

6 0

3 years ago

Please answer all of them with a clear answer

balu736 [363]

See below for the solution to the questions

<h3>The parallel side of the trapezoid</h3>

The given parameters are:

Area = 138

a = 4x - 1

b = x - 4

Height = 12

The area is calculated as:

Area = 0.5 * (a + b) * height

So, we have:

0.5 *(4x - 1 + x - 4) * 12 = 138

This gives

5x - 5 = 23

Add 5 to both sides

5x = 28

Divide by 5

x = 5.6

Recall that:

a = 4x - 1 = 4 * 5.6 - 1 = 21.4

b = x - 4 = 5.6 - 4 = 1.6

Hence, the short base length is 1.6 meters and the long base length is 21.4 meters

<h3>The largest angle in the triangle</h3>

The sides are given as:

x = 22

y = 24

z = 25

The largest angle always opposite the largest side.

This means that the largest angle is Z

<h3>The Circumference</h3>

The radius is given as:

r = 29

The circumference is calculated as:

$C = 2\pi r$

So, we have:

$C = 2\pi *29$

Evaluate

C = 182.21

Hence, the circumference is 182.21 inches

<h3>Measure of angle from arc</h3>

The measure of the arc is given as:

$\theta = 69^o$

The angle LIK is calculated as:

$m\angle LIK = \frac{\theta}2$

So, we have:

$m\angle LIK = \frac{69^o}2$

Evaluate the quotient

$m\angle LIK = 34.5^o$

Hence, the measure of the angle is $m\angle LIK = 34.5^o$