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777dan777 [17]
2 years ago
7

the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a

length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

<h3>How to find area of a rectangle</h3>

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

Learn more about area of a rectangle:

brainly.com/question/13048427

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Answer: The graph of h(x) passes the horizontal line test

Step-by-step explanation:

7 0
3 years ago
Help please state testing math.
Tcecarenko [31]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?
Natalka [10]

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

4 0
3 years ago
Please answer I need help quick!!!
grigory [225]

Answer:

85

Step-by-step explanation:

Place the 9 in for X and 9 to the second power is 81. Then add 4...85.

4 0
3 years ago
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A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, w
Pavel [41]
See the attached figure to better understand the problem

we know that

tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft 
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft

the answer is
the man is  198.45 ft  from the helicopter landing pad 

3 0
3 years ago
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