1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zepelin [54]
3 years ago
10

ON THE SMARTBOARD, THE

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

answer

width = 98 cm

length = 105 cm

set up equations

the perimeter of a rectangle = 2W + 2L

p = 2W + 2L

the perimeter is also 406

406 = 2W + 2L

we know that the length of the rectangle is 7 cm longer than the width so

L = W + 7

substitute equations and solve for width

plug L into p = 2W + 2L to get

406 = 2W + 2(W + 7) distribute the 2 to the terms in the parentheses

406 = 2W + 2W + 14

406 = 4W + 14

392 = 4W

W = 98

substitute equations and solve for length

now that we know the width, we can substitute W in L = W + 7 to find length

L = W + 7

L = 98 + 7

L = 105

final dimensions

width = 98 cm

length = 105 cm

You might be interested in
Show work on 8x+3y=-9
kozerog [31]
Work on 8x + 3y =-9.
6 0
3 years ago
Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Select two answ
otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

x = 0.202, x = 113.798

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is ax^2 + bx  +c = 0

Then its roots are given as:

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

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0  = x^2 -114x + 23\\x^2  -114x + 23 = 0\\

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})

Thus, there are two solutions to the given quadratic equation

x = 0.202, x = 113.798

Learn more here about quadratic equations here:

brainly.com/question/3358603

5 0
3 years ago
Which describes the slope of this line?
Mice21 [21]

Positive Slope

<em>TIP for finding what slope it is:</em>

<em>Positive </em>- the line is pointing right

<em>Negative</em> - the line is pointing left

<em>Undefined </em>- the line is pointing up and down

<em>Zero</em> - the line is point from left to right

4 0
3 years ago
Read 2 more answers
In a U. S . Poll 8 out of 12 citizens said they were happy with the job Obama is doing. If 126 people were surveyed...
Solnce55 [7]

8 out of 12 people were happy.

8/12 reduces to 2/3 of the people were happy.

Multiply the total people surveyed by 2/3:

126 x 2/3 = (126 x 2) /3 = 252/3 = 84

84 people were happy.

8 0
3 years ago
A and B have coordinates –2 and 10 on a number line. If it is marked off into 10 congruent segments, which one of the following
Rasek [7]
Your answer will be D
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the mixed number for 38/8
    14·1 answer
  • if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?
    9·1 answer
  • What is seventy five percent of two hundred?
    14·1 answer
  • The answer to this problem
    6·1 answer
  • Question in photo (:
    13·1 answer
  • 1/6 =. what is 1/6 equal to ​
    8·2 answers
  • PLEASE SOMEONE HELP:(
    8·2 answers
  • D10 (ΔPQR)= (ΔPt Qt Rt), which are the coordinates of P'?
    13·1 answer
  • Find the length of the unknown side. Round your answer to the nearest tenth.
    8·1 answer
  • Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!