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3 years ago

3.) 2x + 4 = -3x - 2; x = 1Determine if the value of x is a solution to the equation

Mathematics

1 answer:

guajiro [1.7K]3 years ago

5 0

Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2 x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

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I need help i dont understand how to do this!!

Schach [20]

Answer:

16, see below :)

Step-by-step explanation:

Hello!

We can use the pythagorean theorem because one of the angles is 90 degrees. According to the theorem, a^2 + b^2 = c^2

a is 12, b is unknown, and c is 20

Now we use the theorem

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3 years ago

Read 2 more answers

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

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3 years ago

Algebra nation geometry

Anastaziya [24]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify: (d - 3)(d + 9)

podryga [215]

<span>Simplify: (d - 3)(d + 9)

A) d^2 + 6
B) d^2 - 27
C) d^2 - 12d - 27
D) d^2 + 6d - 27</span>

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4 years ago

A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in mile

Alexxx [7]

Answer:

Step-by-step explanation:

We are given an equation d = 65 t, where d represents the distance, in miles, that the car travels at this speed in t hours.

We know distance, speed and time relation

d = s * t.

Where d represents the distance, that the car travels at this speed in t at the speed s.

If we compare that relation with the given equation, we can see s = 65.

So,

a) The 65 tell us speed of 65 miles per hour in this situation.

b) Second part seems to be incorrect. Please check it again.

c) We are given distance = 26 miles.

Plugging d= 26 in the given equation.

26 = 65 t

Dividing both sides by 65, we get

26/65 = t

t= 0.4 hours.

So, it takes 0.4 hours or 0.4 * 60 = 24 minutes o travel 26 miles at this speed.

6 0

3 years ago

3.) 2x + 4 = -3x - 2; x = 1Determine if the value of x is a solution to the equation​

3.) 2x + 4 = -3x - 2; x = 1Determine if the value of x is a solution to the equation