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Mariulka [41]
3 years ago
12

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the g

iven conditions.
Let n = a number.
Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

The equation would be 3(n - 2) ≥ 5n

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50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle
aalyn [17]

Answer:

EF=4\sqrt{3}

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

A_{\text{rect}}=8(6)=48\text{ cm}^2

The area of the triangle is 1/4 of this. Therefore:

\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

\displaystyle 12=\frac{1}{2}(DE)(DF)

Since DE = DF:

24=DF^2

Thus:

DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

(DE)^2+(DF)^2=(EF)^2

Therefore:

(2\sqrt6)^2+(2\sqrt6)^2=EF^2

Square:

24+24=EF^2

Add:

EF^2=48

And finally, we can take the square root of both sides:

EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}

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Answer:

y=x-1

Step-by-step explanation:

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The area of the arrow it's 660 cm.

                   

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The graph of a quadratic function is shown on the grid. 2 HE . Which equation best represents the axis of symmetry? ​
attashe74 [19]

Answer:

Step-by-step explanation:When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x - p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.

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3 years ago
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