All categories

3 years ago

Vita wants to center a towel bar on her door that is 27 inches wide.

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

27-(2·9)=9 inches

Step-by-step explanation:

the door is 27 inches wide, and the distance from each end of the towel bar to the end of the door is 9 inches, so the towel bar would take up all of the door except the 2·9 inches, so the equation is 27-(2·9)=9 in

You might be interested in

Use the figure above of Quadrilateral ABCD to answer the following: Use the check list to determine which properties fit. You wi

prohojiy [21]

Explanation:

First, let's draw the quadrilateral. So:

Then, the distance d and slope m between two points with coordinates (x1, y1) and (x2, y2) can be calculated as:

$\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}$

So, the distance and slope of AB where A is (-5,3) and B is (0, 6) are:

$\begin{gathered} d=\sqrt[]{(0-(-5))^2+(6-3)^2} \\ d=\sqrt[]{(0+5)^2+3^2} \\ d=\sqrt[]{34} \\ m=\frac{6-3}{0-(-5)}=\frac{3}{0+5_{}}=\frac{3}{5} \end{gathered}$

The distance and slope of BC where B is (0,6) and C is (5, 3) are:

$\begin{gathered} d=\sqrt[]{(5-0)^2+(3-6)^2}=\sqrt[]{34} \\ m=\frac{3-6}{5-0}=-\frac{3}{5} \end{gathered}$

The distance and slope of CD where C is (5,3) and D is (0, 0) is:

$\begin{gathered} d=\sqrt[]{(0-5)^2+(0-3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-5}=\frac{-3}{-5}=\frac{3}{5} \end{gathered}$

The distance and slope of AD where A is (-5,3) and D is (0, 0) are:

$\begin{gathered} d=\sqrt[]{(0-(-5))^2+(0-3)^2} \\ d=\sqrt[]{(0+5)^2+(3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-(-5)}=-\frac{3}{5} \end{gathered}$

Therefore, the correct answers are:

Option 1 : Opposite sides (AB, CD, and BC, AD) have equal slopes making them parallel to each other, making ABCD a parallelogram.

Option 4: The distance of the sides AB, BC, CD, and AD are all congruent

3 0

1 year ago

Simplify the expression The root of negative nine over the quantity of three minus two i plus the quantity of one plus five i.

jeka94

This will be:
[√9]/[(3-2i)+(1+5i)]
simplifying the above we get:
√9/(3+1-2i+5i)
=√9/(4+3i)
rationalizing the denominator we get:
√9/(4-3i)×(4-3i)/(4-3i)
=[√9(4-3i)]/(16+9)
=[3(4-3i)]/25
=(12-9i)/25

Answer: (12-9i)/25

8 0

3 years ago

Read 2 more answers

What is the factored form of 2x3 4x2 – x? 2 x (x squared 2 x 1) x (2 x squared 4 x 1) 2 x (x squared 2 x minus 1) x (2 x squared

Vanyuwa [196]

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The factored form of 2x³+4x²-x is x(2x² + 4x - 1).

<h3>What are polynomials?</h3>

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The factored form of 2x³ + 4x² - x can be done as shown below,

2x³ + 4x² - x

Taking x as common,

= x(2x² + 4x - 1)

Hence, The factored form of 2x³+4x²-x is x(2x² + 4x - 1).

Learn more about Polynomial:

brainly.com/question/17822016

#SPJ1

7 0

2 years ago

Read 2 more answers

Question help please these are them 3