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Mashutka [201]
2 years ago
12

The rectangle shown has a perimeter of 106 cm and the given area. It’s length is 8 more than four times the width. Write and sol

ve a system of equations to find the dimensions of the rectangle
Mathematics
1 answer:
jeka942 years ago
6 0

Answer:

Step-by-step explanation:

p = 106

L = 8 + 4W

p = 2L + 2W

p = 2(8 + 4W) + 2W

p = 16 + 8W + 2 W

p = 16 + 10W

106 = 16 + 10W

106 - 16 = 10W

90 = 10W

90/10 = W

9 = W

<h2>W = 9</h2><h2 />

L = 8 + 4W

L = 8 + 4(9)

L = 8 + 36

<h2>L = 44</h2>

44 + 44 + 9 + 9 = 106

44 * 9 = Area = 396

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7 0
3 years ago
Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
2 years ago
Which of the following is the product of the rational expression 1/x+2 × x/x-2
pav-90 [236]

Answer:

the answer of your question

\frac{1}{x + 2}  \times  \frac{x}{x - 2}  =  \frac{x}{x ^{2}  - 4}

6 0
3 years ago
In 2010 an item costs $9.00. The price increases by 1.5% each year. How much will it be in 2030?
Yanka [14]

Answer:11.7

Step-by-step explanation:

1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.

2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)

3. Make your equation

20(9*(.015))+9

+9 is your starting point

9*(.015) gives you the amount the price increases per year

20 is multiplied then to that increased price for the next 20 years

4. Crunch em numbers

PEMDAS

5 0
3 years ago
Fill in the blanks to complete the equation: 1 3/5= blank+3/5​
Galina-37 [17]

The answer is..

1 3/5=1+3/5    

5 0
2 years ago
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