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yarga [219]
2 years ago
15

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle. (Answe

r needs to be a mixed number)
Mathematics
1 answer:
Paul [167]2 years ago
4 0
The answer is 8 8/11
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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
Find the value of x. Round your answer to the nearest tenth.
worty [1.4K]

Answer:

9

Step-by-step explanation:

cos(68°)×24= 8.99 which can be rounded to 9

3 0
3 years ago
Terri is rewriting 7^13 in expanded form. How many factors should she use in her expression?
Mazyrski [523]
She should use 13 factors.
All 13 factors are the same thing . . . 7 .

7^13 should be written as 7¹³ .

It means:  7·7·7 · 7·7·7 · 7·7·7 · 7·7·7 · 7
6 0
2 years ago
Read 2 more answers
I need HELP !!!!!!!!!!!!!!!!
Annette [7]

Answer:

I think the solution is (p,q)=(-2,-5)

3 0
3 years ago
What is the answer to 54,000×10
mr Goodwill [35]

the answer to 54,000 x 10 is 540,000
8 0
2 years ago
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