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Yanka [14]
3 years ago
10

Estimate the solution to the following system of equations by graphing.

Mathematics
1 answer:
zmey [24]3 years ago
3 0
<span>x=<span><span><span><span>−1/</span>2</span><span> and </span></span>y</span></span>=<span>3/<span>4 hope this helps. </span></span>
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Your teacher will grade your response for questions 21–23 to ensure you receive proper credit for your answer.
mario62 [17]

Answer:

(a) Arts take longer

(b) By 2/9 hours

Step-by-step explanation:

Given

Arts = four over nine hours

Maths = two over nine hours

Solving (a): Which takes longer?

First, represent both as fraction

Arts = \frac{4}{9}\ hours

Maths = \frac{2}{9}\ hours

Convert fraction to decimal

Arts = \frac{4}{9}\ hours

Arts = 0.444\ hours

Maths = \frac{2}{9}\ hours

Maths = 0.222\ hours

By comparison:

0.444 > 0.222

Hence, Arts take longer

Solving (b): How much longer?

To do this, we calculate the difference.

Difference = Arts - Maths

Difference = \frac{4}{9} - \frac{2}{9}

Take L.C.M

Difference = \frac{4 - 2}{9}

Difference = \frac{2}{9}\ hours

8 0
3 years ago
The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equa
victus00 [196]

Answer:

area of BMDN 8 ft²

Step-by-step explanation:

In BMDN the diagonals are BD and MN.

MN is 12/3 = 4 ft long, and BD = 4 ft.

A rhombus with equal diagonals is a square, so BMDN is a square.

In the right triangle BDN, the diagonal BD is the hypotenuse, then:

DN² + NB² = BD²

but DN = NB, then:

2*DN² = 16 ft²

DN² = 8 ft²

The area of BMDN is computed as one of its sides squared. Then, DN² is its area

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3 years ago
POSSIBLE POINTS 10
Sergio039 [100]

Answer:

Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32

Step-by-step explanation:

8, 9, 11, 14, 17, 23, 29,30, 32, 32

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3 years ago
What is the inverse function of f(x) = x
sasho [114]

Answer:

y = x

Step-by-step explanation:

The inverse of f(x) = x is just y = x.

7 0
3 years ago
What can those engaged in politics from both parties learn about the Constitution from the debate over the Bill of Rights?
morpeh [17]

Answer:

The Federalists wanted a strong government and strong executive branch, while the anti-Federalists wanted a weaker central government. The Federalists did not want a bill of rights —they thought the new constitution was sufficient. The anti-federalists demanded a bill of rights.

Federalists argued that the Constitution did not need a bill of rights, because the people and the states kept any powers not given to the federal government. Anti-Federalists held that a bill of rights was necessary to safeguard individual liberty.

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3 years ago
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