A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. what is the width of this garden?

Answers

Answer 1

Answer: We can call a the width of the garden and b the length of the other side.
The perimeter of the garden is the sum of the two sides, and it is equal to 48 cm:
$a+b=48$ (1)
The area of the garden is the product between the two sides, and it is equal to $140 cm^2$ :
$a b = 140$

From (1), we find
$b=48 -a$
And by substituting this into (2)
$a(48-a)=140$
$a^2-48a+140 =0$
which gives two solutions:
$a=44.9$ , to which corresponds $b=48-a=48-44.9=3.1$
$a=3.1$ , to which corresponds $b=48-a=48-3.1=44.9$

So, the width of the garden is $44.9 cm$ while the length of the other side is $3.1 cm$ .

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Which solid figure has one polygon base?A. pyramid B. cone C. cylinder D. prism Question #6TrueFalse A rectangular prism with a height of 6 m, a length of 5 m, and a width of 4 m will have a different surface area than a rectangular prism with a height of 5 m, a width of 6 m, and a length of 4 m. TrueFalse Question #7MultipleChoice Score: The volume of a rectangular prism is 288 ft3. If its height is 6 feet and its length is 8 feet, what is its width? A. 6 feet B. 8 feet C. 9 feet D. 12 feet Question #8MultipleChoice A cube is 6 feet on each side. What is its volume?

Asking again for your help! I really don't understand!

Answers

Answer: y≤4x+3 and y≤-3x-5

Step-by-step explanation:

The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.

The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5

If x and y are negative integers and x – y = 1,
what is the least possible value for xy?

Answers

x=y+1
Least possible value for y(y+1)? Well, it appears for y halfway between the roots (you know what a parabola is, don't you?). That y is -0.5, so let's calculate -0.5*0.5, which is -0.25.
The least possible value is $-\frac{1}4$
Well, not really :)) The two values must be both negative, so we can't take one of them to be 0.5! As we lower the values, however, the product grows, reaching 0 when x=0 and y=-1, and further increasing as x and y lower. Thus, we would actually take x=0 and y=-1.

The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??

Answers

I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3

So,

Your question has already provided the necessary information for us to be able to compute the volume. To find the volume of the triangular prism, you just need to multiply the area of the base (a triangle) by the height (15).

We already know how to find the area of a triangle.

$(1)/(2) (10)(4)$

5(4)

20 cm²

Now, multiply that by the height of the prism.

20 * 15 = 300 cm³

The volume of the triangular prism is 300 cm³.

Which set of integers is included in (-1,3]?

Answers

the answer could be 0 , 1 , 2 , 3 hope this helps!

Write the equations of two lines whose graphs are perpendicular to one another

Answers

Write 2 equations in slope - intercept form: y = mx + b
The slopes of perpendicular lines are negative reciprocal of each other. That is, if you have a slope of 2/3, the perpendicular slope will be -3/2.
y = 2/3x + 3
is perpendicular to
y = -3/2x - 9
Only the slope matters in the equations. The y-intercept can be anything. I randomly chose +3 and -9.

Final answer:

Perpendicular lines have slopes that are negative reciprocals of each other. By using the slope-intercept form of a linear equation, you can find two equations for lines that are perpendicular to each other. An example pair of equations is y = 2x + 1 and y = (-1/2)x + 3.

Explanation:

In order for two lines to be perpendicular, their slopes must be negative reciprocals of each other. Let's say the equation of the first line is y = mx + b, where m is the slope. The equation of the second line that is perpendicular to the first line would have a slope of -1/m. So, you can choose any values for m and b for the first line and then find the slope of the second line using -1/m.

For example, let's say the equation of the first line is y = 2x + 1. The slope of this line is 2. The equation of the second line that is perpendicular to the first line would have a slope of -1/2. So, an example equation for the second line could be y = (-1/2)x + 3.

Therefore, two example equations of lines that are perpendicular to each other are y = 2x + 1 and y = (-1/2)x + 3.

Learn more about Perpendicular Lines here:

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Name three collinear points.D
А
B)
N
OS
OD
ON
ОА
ОС
DB

Answers

answer _------Three or more points , , , ..., are said to be collinear if they lie on a single straight line. .

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