All categories

4 years ago

The perimeter of a rectangle is 142m. The length is 2m more than the width. Find the dimensions. What is the length?

1 answer:

5 0

You have a rectangle that has a width of w. the length us 2 more than the width, so the lengthis w+2. the perimeter is 142. so 142=w+w+(w+2)+(w+2). because the perimeter is all 4 sides added together 2 of those sides being the length and 2 beingtje width. combine like terms to get 142=4w+4. now you subtract 4 from each side and get 138=4w. divide both sides by 4. you get w=34.5. now, w is the width. the length is 2 more than w, which is 34.5+2, or 36.5

You might be interested in

Tom's Game Shop ordered 18 computer games. Two-thirds of the games were baseball games. How many of the game were not baseball g

juin [17]

2/3=?/18

18÷3=6

3×6=18

2×6=12

?=12

5 0

3 years ago

Read 2 more answers

Will give most points!!!!(06.02)Jordan plotted the graph below to show the relationship between the temperature of his city and

Lubov Fominskaja [6]

Answer:

Part A: Linear relationship

Part B: Using the dividing method

Slope = -3.325

y-intercept is (0, 88.5)

Step-by-step explanation:

Part A

The is an approximately linear relationship between the temperature of his city and the number of chocolate sold

Part B

The line of best fit can be drawn by

1) Plot the data points on the graph

2) Divide the number of data points into two with a vertical dotted line

3) Mark the center of the data on each side of the dividing central line with an a or x

4) Draw a straight line through the x marks that extends to the plot edges

5) The straight line drawn is the line of best fit

The approximate slope is found from points (0, 90) and (20, 20) using the formula for gradient, m, such that we have;

$m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where:

y₁ = 88

x₁ = 0

y₂ = 22

x₂ = 20

Therefore;

$The \ slope, \ m =\dfrac{22-88.5}{20-0} = \dfrac{-66.5}{20} =-3.325$

From the graph, the y-intercept is approximately (0, 88.5) while the x intercept is approximately (26.5, 0)

8 0

3 years ago

Use substitution what is the solution to the system of equations ? Explain. Y=1/4x+4 12y-48=3x

Masja [62]

Answer:

see attached picture.

3 0

4 years ago

SOLVE USING THE QUADRATIC FORMULA <br><br> 1) y=3x^2-x-6<br><br> 2) y=-5x^2+7x+3

kondor19780726 [428]

1) $x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

2) $x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Step-by-step explanation:

Solving the equations using quadratic formula.

1) $y=3x^2-x-6$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =3, b = -1 and c= -6

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-6)}}{2(3)}\\x=\frac{1\pm\sqrt{1+72}}{6}\\x=\frac{1\pm\sqrt{73}}{6}\\so, x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

2) $y=-5x^2+7x+3$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =-5, b = 7 and c= 3

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(7)\pm\sqrt{(7)^2-4(-5)(3)}}{2(-5)}\\x=\frac{-7\pm\sqrt{49+60}}{-10}\\x=\frac{-7\pm\sqrt{109}}{-10}\\So, x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Keywords: Solving Using Quadratic Formula

Learn more about Solving Using Quadratic Formula at:

#learnwithBrainly

3 0

4 years ago

Which value of x makes the equation true? x - 5 = 22

NARA [144]

Answer:27

Step-by-step explanation:

27-5=22

7 0

3 years ago