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2 years ago

At the speeds shown in the table, how much farther could a black-tailed jackrabbit

Mathematics

1 answer:

Natali5045456 [20]2 years ago

3 0

Answer:

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Factor completely:

maw [93]

Answer:

Step-by-step explanation:

Given

12 $x^{5}$ + 6x³ + 8x² ← factor out 2x² from each term

= 2x²(6x³ + 3x + 4) → d

7 0

3 years ago

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:

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

6 0

3 years ago

Read 2 more answers

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

murzikaleks [220]

The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>

Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.

The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0

2 years ago

4. Joseph is making cookies. The recipe requires 1/2 cups of flour and 1 teaspoons of sugar.

oksian1 [2.3K]

Answer:

He will use 4.

Step-by-step explanation:

1/2 flower-1 sugar*4 = 2 flower - 4 sugar

6 0

2 years ago

(-7)(-5)(2)? Its just like that so...

MAVERICK [17]

Answer:

Step-by-step explanation:

-7 × -5 = 35

35 × 2 = 70

8 0

3 years ago

Read 2 more answers