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2 years ago

Prove that:random answer will be reported.

Mathematics

1 answer:

AnnyKZ [126]2 years ago

6 0

i think the best answer is b.cos60 + sin60+1/8(5 +3cos40) the answer is -0.88232537463→

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Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the

Maksim231197 [3]

Answer:

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Step-by-step explanation:

The line segment AB has vertices at: A(-4,5) and B(-4,1).

We apply the rule $(x,y)\to (-x,y)$ to reflect AB in the y-axis to obtain CD.

$\implies A(-4,5)\to C(4,5)$

$\implies B(-4,1)\to D(4,1)$

We apply the rule $(x,y)\to (y,-x)$ to rotate CD 90 degrees clockwise about the origin to obtain EF.

$\implies C(4,5)\to E(5,-4)$

$\implies D(4,1)\to F(1,-4)$

The coordinates of EF are E(5,-4) and F(1,-4).

See attachment

4 0

3 years ago

(x – 2)^2 + 20 = 0

seraphim [82]

Answer:

x = 2 ± 2 sqrt(5)i

Step-by-step explanation:

(x – 2)^2 + 20 = 0

Subtract 20 from each side

(x – 2)^2 + 20 -20=0 -20

(x – 2)^2 =- 20

Take the square root of each side

sqrt((x – 2)^2) =±sqrt(- 20)

x-2 = ±sqrt(- 20)

We know sqrt(ab) = sqrt(a) sqrt(b)

x-2 = ±sqrt(- 1) sqrt(20)

We know the sqrt (-1) = i

x-2 = ±i sqrt(4*5)

x-2 = ±i sqrt(4) sqrt(5)

Add 2 to each side

x-2+2 = 2 ±i sqrt(4) sqrt(5)

x = 2 ±i 2 sqrt(5)

x = 2 ± 2 sqrt(5)i

7 0

2 years ago

A square has sides 5.3cm long. Work out the area of the square

mezya [45]

Answer:

Area of square = 28.09 square cm.

Step-by-step explanation:

Given : A square has sides 5.3 cm long.

To find : Work out the area of the square.

Solution : We have given

Side of square = 5 .3 cm .

Area of square = side * side .

Area of square = 5.3 * 5.3 .

Area of square = 28.09 square cm.

Therefore, Area of square = 28.09 square cm.

4 0

3 years ago

Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ×3 2 1

Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0

2 years ago

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin

alekssr [168]

Answer:

<em>The two figures are similar as the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = $\sqrt{(x-x1)^{2} + (y-y1)^{2} }$

we find that,

CD= $\sqrt{20}$ and JK= $\sqrt{5}$

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0

3 years ago

Prove that:random answer will be reported.​

Prove that:random answer will be reported.