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2 years ago

If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?

Mathematics

2 answers:

Grace [21]2 years ago

9 0

The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

fenix001 [56]2 years ago

8 0

Answer:

B. (3,-8)

Step-by-step explanation:

We are given the trapezoid with point B having the co-ordinates (3,8).

Now, the trapezium is reflected across x-axis to form another trapezium.

Since, we have,

<em>Reflection across x-axis changes the co-ordinate (x,y) to (x,-y).</em>

So, we get,

The co-ordinates of B' are (3,-8).

Hence, option B is correct.

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Solve for x 2/3=x/4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%20%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%20%7D%2

balandron [24]

To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66

3 0

2 years ago

Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

1 year ago

Read 2 more answers

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an

BigorU [14]

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

6 0

1 year ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp

Inga [223]

Multiply the amount hiked by 2.

6 0

2 years ago

Question 9 of 15 (1 point)

mote1985 [20]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

$4x+10 = x-17$

Subtracting 10 from both sides

$4x+10-10 = x-17-10\\4x = x-27$

Subtracting x from both sides

$4x-x = x-x-27\\3x = -27$

Dividing both sides by 3

$\frac{3x}{3} = \frac{-27}{3}\\ x = -9$

<u>Verification:</u>

$4(-9)+10 = -9-17\\-36+10=-26\\-26=-26$

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

7 0

2 years ago