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Hatshy [7]
3 years ago
9

what is the perimeter of the larger rectangle i cant miss anymore and i don't know how to solve this ​

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

<h2>A. 104 inches</h2>

Step-by-step explanation:

The formula of a perimeter of a rectangle:

P = 2l + 2w = 2(l + w).

The perimeter of the smaller rectangle:

P = 2(l + w) = 26 in.

The perimeter of the larger rectangle:

P' = 2(4l + 4w) = (2)(4)(l+w) = 4[2(l + w)] = 4P.

Therefore the perimeter of a larger rectangle is:

P' = 4(26) = 104 in

Vikentia [17]3 years ago
5 0

Answer: 52 Inches

Step-by-step explanation:

Small Rectangle Perimiter = 26

Rectangle = 4x the smaller rectangle

26*4= 104

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Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
I need help plz help me
Marta_Voda [28]

Answer:

3000g

hope this helps

7 0
3 years ago
What is the equation for (0,3) and (6,6)
Alexxandr [17]
The answer is y= — 1/2x + 3
6 0
2 years ago
NOT GRADED. <br>FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.​
Setler [38]

Answer:

The angle in the box is always 50 and that other acute angle is 46

Hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Could someone pls help me out? Thank u so much
vesna_86 [32]

Answer:

$25

Step-by-step explanation:

c=30−(0.25)(20)

c=30+(−5)

c=(30+(−5)

30-5

Combine Like Terms

c=25

8 0
2 years ago
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