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3 years ago

Help me on the first question pls

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

To do the first question, simplify the equation, putting like terms together, by adding and subtracting to do this.

Then looking at the equation that you solved for, look and see if there are any other equations that are related in some way to the original solved equation.

Pay close attention to the positive and negative signs.

You might be interested in

A football field measures 300 feet in length. It can also be expressed as approximately 5 7x 10miles. If the

kogti [31]

Answer:

The question is incomplete or there are details missing.

Step-by-step explanation:

From similar parameters, if by what they mean is that the football field measures 300feet in length, which is the dimension in length, this can also be in terms of metre.

The conversion factor between ft and metre is 1ft = 0.3048m

As such, we can only have variations or the length of the field measured may have ranges of measurement, but as it is the length of the field can not be expressed in terms of miles, the most reasonable vale of n we can get will be the least measurement in metres.

3 0

3 years ago

The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.

RSB [31]

Answer:

(2y−3)(y+1) hope this helps!

7 0

2 years ago

Why is ti that when you add two numbers together (5+5,6+6,3+3, etc.) you get an even sum?? I need this for my 8 year-old-brother

astra-53 [7]

Essentially, the rule goes as so: odd + odd = even, even + even = even.

Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Write the slope intercept form of the equation of the line through the given point

ozzi

Answer:

y = $-\frac{3}{4}$ x

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = $-\frac{3}{4}$ , point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 = $-\frac{3}{4}$ (4) + b

Solve for b:

-3 = $-\frac{3}{4}$ (4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y = $-\frac{3}{4}$ x + 0

y = $-\frac{3}{4}$ x

The equation written in slope-intercept form is: y = $-\frac{3}{4}$ x

8 0

3 years ago

Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He

ZanzabumX [31]

Answer:

cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

<h3>Rectangular Prism</h3>

The relevant formulas are ...

V = LWH

A = 2(LW +H(L +W))

for length L, width W, and height H.

<u>a)</u><u> prism 1</u>

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

V = (8 in)(8 in)(5 in) = 320 in³

A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

<u>b)</u><u> prism 2</u>

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

V = (10 in)(8 in)(4 in) = 320 in³

A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

<h3>Cylinder</h3>

The relevant formulas are ...

V = πr²h

A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

<h3>Square Pyramid</h3>

The relevant formulas are ...

V = 1/3s²h

A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

A = (10 in)(10 in + 2×14 in) = 380 in²

<h3>Summary</h3>

The proposed figures have volume and area (rounded to the nearest unit) as follows:

$\begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}$

The proposed <em>cylinder</em> requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

<em>Additional comment</em>

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

3 0

1 year ago