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2 years ago

What do you know about the slopes of lines that are parallel? Explain

1 answer:

Rudiy272 years ago

7 0

Parallel lines have to have the same slope. The must stay the same distance apart at all times to be parallel and the only way to do that is to change in exactly the same manner as they move so slope is the change in x over the change in y. it must be the same

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1 Find the measure of angle B <br>

Sholpan [36]

Answer:

The measure of angle B is 50

Step-by-step explanation:

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3 years ago

Find the value of x. Part 1c

gtnhenbr [62]

Answer:

x=11

Step-by-step explanation:

Please see attached image.

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3 years ago

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How many are there write answer and how you solved

V125BC [204]

Answer:

5.2 hours

Step-by-step explanation:

To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.

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2 years ago

What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

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$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

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Therefore, the right answer is 415.4 cubic feet.

3 0

2 years ago

Read 2 more answers

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

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Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago