when two pieces of rope are laid end to end they measure 40 meters. one is 10 meters longer than the other. how long is each piece of rope.

perimeter = 2 times the length plus 2 times the width

 which can also be written as 2(4/3w+w) so the answer is D

part 2

 28 = 2(4/3w+w) when you do the calculation w = 6

length = 4/3 *6 = 8

 area = 6 * 8 =48 square inches

Final answer:

To find how far Ebony walked, multiply her walking rate (3 1/2 miles per hour) by the time walked (1 1/3 hours), resulting in a total distance of 4.665 miles.

Explanation:

The question asks, "Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. How far did she walk?" To answer this, we need to multiply the rate at which Ebony walked by the time she spent walking. The rate is 3½ (or 3.5) miles per hour, and the time is 1⅓ (or 1.333) hours.

So, the calculation is as follows:

Distance = Rate × Time

Distance = 3.5 miles/hour × 1.333 hours

Distance = 4.665 miles

Therefore, Ebony walked a total of 4.665 miles.

Just to let you know i did not write this someone else on brainly did

if the variables cancel out leaving u with an untrue statement, like 0 = 4 or 2 = 6, then u will have no solutions

if the variables cancel out leaving u with a true statement, like 2 = 2 or 4 = 4, then u will have infinite solutions

if u end up with a variable equaling a number, then u have 1 solution

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Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)

Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.

So the new coordinate for the vertex C should read 5,-1.

After the translation , the coordinates of vertex C are ( 5 , -1 )

There are several types of transformations:

Let us now tackle the problem!

This problem is about Translation.

The triangle is translated 4 units down and 3 units left.

The rule that represents the translation will be [tex]\left[\begin{array}{ccc}-3\\-4\end{array}\right][/tex]

Let's find the translation for every vertice of Triangle ABC:

A(-3 , 4) → A'(-3 + (-3) , 4 + (-4)) = A'(-6 , 0)

B(4 , -2) → B'(4 + (-3) , -2 + (-4)) = B'(1 , -6)

C(8 , 3) → C'(8 + (-3) , 3 + (-4)) = C'(5 , -1)

From the results above, we can illustrate the translation process as shown in the attached picture

After the translation , the coordinates of vertex C are ( 5 , -1 )

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle

To convert a quadratic function in standard form to vertex form, follow these steps: identify the given equation, find the x-coordinate of the vertex, substitute the x-coordinate to find the y-coordinate, and write the function in vertex form.

To convert a quadratic function in standard form to vertex form, follow these steps:

For example, if the quadratic function is given as 2x² - 8x + 5 = 0, we first find the x-coordinate of the vertex using the formula x = -b/2a as x = -(-8)/(2*2) = 2. Substituting this x-coordinate into the equation, we find the y-coordinate of the vertex as y = 2*(2)² - 8*(2) + 5 = -3. Therefore, the quadratic function in vertex form is y = 2(x-2)² - 3.

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Answer:

In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] is the constant of proportionality.

This equation represents a proportional relationship between [tex]\(x\)[/tex] and [tex]\(y\),[/tex] where [tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\).[/tex] Therefore, [tex]\(5.5\)[/tex] is the constant by which [tex]\(x\)[/tex] is multiplied to get [tex]\(y\).[/tex]

Explanation:

In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] represents the constant of proportionality. In a proportional relationship, one quantity is always a constant multiple of the other. Here,[tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\)[/tex]. This means that as [tex]\(x\)[/tex] increases or decreases, [tex]\(y\)[/tex] changes in direct proportion, always maintaining a ratio of [tex]\(5.5:1\)[/tex] between [tex]\(y\)[/tex] and [tex]\(x\)[/tex]. The constant of proportionality, [tex]\(5.5\)[/tex], determines the rate at which [tex]\(y\)[/tex] changes with respect to changes in [tex]\(x\)[/tex], serving as a scaling factor in the relationship between the two variables.

Answer:

(-6,-8)

Step-by-step explanation:

2x+4=x-2

2x-x=-2+-4

x=-6

y=-6-2

y=-8

11 foot wall,

 the center of the wall would be 5 1/2 feet which is 5 feet 6 inches

the shelf is 2 feet 6 inches, so the center of that would be 1 foot 3 inches

5 ft 6 in - 1 ft 3 in = 4 ft 3 inches from corner

Final answer:

The statement that -5 + x is negative, given the distance from 0 to x on a number line is less than 5, is true sometimes. This depends on the value of x, whether it is a small positive number or any negative number.

Explanation:

The question revolves around the concept of distance on a number line and the calculation of numerical expressions. To understand whether -5 + x is always, sometimes, or never negative given the condition that the distance from 0 to x on a number line is less than 5, let's analyze the scenarios.

First, the absolute value |x| < 5 indicates that x must be between -5 and 5 (not including -5 and 5). This means x can be any value closer to 0 than 5, whether positive or negative.

If x > 0 (but less than 5), then -5 + x would be negative because x cannot neutralize the -5 completely.

For example, if x=4, then -5 + 4 = -1.

If x < 0, then -5 + x is negative since you are adding two negative numbers.

For example, if x=-4, then -5 + (-4) = -9.

The statement -5 + x is negative is true sometimes based on the value of x. If x is a positive number close to 5, the expression may approach 0 but will stay negative. If x is negative, the expression is further negative.

For those of you who are confused like I was, the answer is x ≤ -3

Answer:

5b  

Step-by-step explanation:

Given,

The base area of the prism = base area of the pyramid = b,

Also, the height of the prism = 30 ft,

While, the height of the pyramid = [tex]\frac{\text{height of prism}}{2}[/tex]

[tex]=\frac{30}{2}=15\text{ ft}[/tex]

Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height

[tex]=\frac{1}{3}\times b\times 15[/tex]

[tex]=\frac{15b}{3}[/tex]

= 5b ft²

Hence, THIRD option is correct.

To determine Susan's share of the daycare earnings, the simple equation T + 2T = 225 was solved to give Terry's share as $75. Susan's share, being double Terry's, is therefore $150.

The total earnings of Susan and Terry together: 2x (Terry's share) + Terry's share = 225

Given that the total earnings are 225:

2x (Terry's share) + Terry's share = 225

3x (Terry's share) = 225

Terry's share = 225/3 = 75

Susan's share = 2 x 75 = 150

Therefore, Susan's share is 150.

π radians =180∘

1 radian = tex] \frac{180°}{ \pi} [/tex]π

3 radians = [tex] \frac{540°}{ \pi} [/tex]