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9966 [12]
1 year ago
9

What are the solutions of 2|x-6|=10

Mathematics
1 answer:
kobusy [5.1K]1 year ago
8 0
\begin{gathered} 2|x-6|=10​ \\ \frac{2\left|x-6\right|}{2}=\frac{10}{2} \\ \mleft|x-6\mright|=5 \\ x-6=-5\quad \mathrm{or}\quad \: x-6=5 \\  \end{gathered}

then

\begin{gathered} x-6=-5 \\ x-6+6=-5+6 \\ x=1 \end{gathered}

or

\begin{gathered} x-6=5 \\ x-6+6=5+6 \\ x=11 \end{gathered}

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3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

7 0
2 years ago
Insert &lt;, &gt;, or = between the fractions to make the sentence true. <br><br> 3/4 _____ 4/7
ratelena [41]
3/4 = .75
4/7 = .57

the answer is : 3/4 > 4/7
6 0
3 years ago
Read 2 more answers
Identify the law illustrated by: 5n x 1 is the same as 5n
tangare [24]

<u><em>The law illustrated is Distributive Law</em></u>

This question is under a topic called algebra laws.

The laws are;

- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.

- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.

- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.

We are told in the question that ; 5n x 1 = 5n

This means that 5n and 1 are factors of 5n and this corresponds to distributive law

Read more at; brainly.in/question/39479409?tbs_match=1

7 0
2 years ago
Question:Find the area of he trapezoid by decomposing it into other shapes.
Ad libitum [116K]

Answer:

D) 171 cm²

Step-by-step explanation:

You don’t actually need to decompose it.  You could just do it as a trapezoid:

(15+23)/2=19

19x9=171

If you want to decompose it into 2 triangles and a rectangle:

10=15x9=135

1/2(3)(9)=13.5

1/2(5)(9)=22.5

135+13.5+22.5=171 also

8 0
3 years ago
The area of the shaded triangle is 5x2+3x-4. What is the area of the entire figure?
Phoenix [80]
The answer will be 2 cuz you multiply them at the answers
3 0
3 years ago
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