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3 years ago

Find the value of each expression. Show your work. 10c4

Mathematics

1 answer:

Gnoma [55]3 years ago

7 0

I think you forgot to add the other part of the question

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6(2 + x) = 12 + 6x illustrates what property of multiplication?

ElenaW [278]

This equatuon illustrates <span>distributive of multiplicatiton over addition.
</span><span>
If we have a set E with two relation * and + : (E,+,*) we say that the relation * is distributive with respect to the relation
If a*(b+c) = a*b + a*c for every a,b,c from E</span>

5 0

4 years ago

The angle of depression of a car C, from the top of the building of height 100m is

Crazy boy [7]

Answer:

a) 148.26 m

b) 21.94 degrees

Step-by-step explanation:

tan 56 = 100/x

1.4826 = 100/x

x = 148.26

148.26 + 100 = 248.26

tan y = 100/248.26

tan y = 0.4028

y = 21.94 degrees

4 0

3 years ago

The black figure is an ellipse, and the black line segment is its major axis. What is the length of the blue line segment?

andrezito [222]

The answer is: A. 20.3

The explanation is shown below:

1. By definition, the sum of the length of the strings (The length of the blue segment and the length of the red segment) is equal to the length of the major axis (The black segment).

2. Based on this, you can write the following expression, where $x$ is the length of the blue segment:

$x+10.7=31$

3. Now, you must solve for $x$ , as following:

$x=31-10.7$

$x=20.3$

4. Therefore, the answer is the option A.

6 0

4 years ago

Simplify each expression. Write your answers in exponential notation.

GenaCL600 [577]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad
a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{36b^3}{9a^5} \right)^3\implies \left( \cfrac{4b^3}{a^5} \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left(\cfrac{4^3b^{3\cdot 3}}{a^{5\cdot 3}}\right)}\implies \cfrac{64b^9}{a^{15}}$

3 0

3 years ago

Match the algebraic expressions and the algebraic equations

Dmitry_Shevchenko [17]

The given terms are :

1. Algebraic expression

2. Algebraic equation

3. Algebraic equation

4. Algebraic expression

5. Algebraic equation

6. Algebraic expression

4 0

3 years ago