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Marta_Voda [28]
3 years ago
11

Help with math, please answer

Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

  1a) divide both sides by 2

  1b) multiply both sides by -1

  2a) 2x+4

  2b) 2x

  2c) P = 2x+4; A = 2x

Step-by-step explanation:

To solve equations, you take advantage of the properties of equality and of identity elements.

The multiplicative identity element is 1. (Multiplying by 1 does not change the value of a number or expression.) The product of a number and its reciprocal is the multiplicative identity element.

The multiplication property of equality tells you that you can multiply both sides of an equation by the same value, and the value of the variable remains the same. (The equal sign remains true.)

Of course, division by 'a' is the same as multiplication by 1/a.

__

1a) We have 2x on the left. We want 1x on the left. The properties discussed above say we can multiply both sides of the equation by the multiplicative inverse of 2 and the result will be what we're after.

  (1/2)(2x) = (1/2)(17) . . . . multiply both sides by 1/2 (equivalently, divide by 2)

  x = 17/2

__

1b) The coefficient of x is -1. The reciprocal of that is also -1. So, we can multiply this equation by -1 to get what we're after.

 (-1)(-x) = (-1)(9) . . . . multiply both sides by -1

  x = -9

__

2a) The perimeter is the sum of the lengths of all the sides. Opposite sides of a rectangle have the same length. So, the perimeter is ...

  2 + x + 2 + x = 2x+4 . . . . . . listing sides CW from the top

__

2b) The area is the product of the side lengths:

  (x)(2) = 2x

__

2c) As equations, we can write perimeter (P) and area (A) as ...

  P = 2x+4

  A = 2x

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Angelina_Jolie [31]

Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.

By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.

This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.

The total area of the given figure is then 34+6, or 40, square units.

7 0
4 years ago
An account earns simple interest.<br><br> $5200 at 7.36% for 54 months
vovikov84 [41]
A = P(1 +rt)  where A is the total amount(principal and interest), r is the rate, and t is the time invested.

A = 5200[1 + .0736(4.5)]
A = 6922.24

note we had to change the rate to a decimal by dividing by 100 
Also 54 months is equal to 4.5 years...you enter time in years.
6 0
3 years ago
What is the next 4 terms-0.02,0.04,0.07,0.10
kiruha [24]

Answer:

0.13,0.15,0.18,0.21

8 0
4 years ago
What are the coordinates of the hole in the graph of the function f(x) ?
Vinvika [58]
ANSWER

(3, \infty )

EXPLANATION

The given function is

f(x) = \frac{ {x}^{2} - 9}{x - 3}

When we plug in x=3 into this function, we obtain,

f(3) = \frac{0}{0}

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}

This implies that,

f(x) = x + 3

The graph this function is a straight line that is continuous everywhere.

To graph

f(x) = \frac{ {x}^{2} - 9}{x - 3}
we draw the graph of

f(x) = x + 3
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

(3, \infty )

6 0
3 years ago
The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
Anna35 [415]
We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

123-63=60°

 Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles


5 0
4 years ago
Read 2 more answers
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