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3 years ago

A rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

Explanation:

A. The minimum possible length of the rug is 1.

B. The maximum area of the rug is 2m^2

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Factor. Check by multiplying<br> 2a - 14 = ?

SIZIF [17.4K]

Answer: 2a - 14 = 2(a - 7)

Step-by-step explanation:

Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).

4 0

3 years ago

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Y = -3x+4 and y= 1/2x-3

Papessa [141]

Answer:

{x = 2 , y = -2

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

{y = x/2 - 3 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

{-x/2 + y = -3 | (equation 2)

Add 1/6 × (equation 1) to equation 2:

{3 x + y = 4 | (equation 1)

{0 x+(7 y)/6 = (-7)/3 | (equation 2)

Multiply equation 2 by 6/7:

{3 x + y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 6 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 2 , y = -2

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28-81%29x%5E%7B2%7D%20%7D" id="TexFormula1" title="\sqrt{(-81)x^{2} }" alt="\sqrt{(

SSSSS [86.1K]

Answer:

We conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

Step-by-step explanation:

Given the radical expression

$\sqrt{\left(-81\right)x^2}$

simplifying the expression

$\sqrt{\left(-81\right)x^2}$

Remove parentheses: (-a) = -a

$\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}$

Apply radical rule: $\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{-1}\sqrt{81x^2}$

Apply imaginary number rule: $\sqrt{-1}=i$

$=i\sqrt{81x^2}$

Apply radical rule: $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{81}i\sqrt{x^2}$

$=9i\sqrt{x^2}$

Apply radical rule: $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=9ix$

Therefore, we conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

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3 years ago

Factor the expression. 40z – 20

erik [133]

$40z - 20$

$GCF=20
$

$20 ( \dfrac{40z}{20} - \dfrac{20}{20})$

$20(2z-1)$

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4 years ago

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Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple c

dem82 [27]

Answer: 2 points

Step-by-step explanation:

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4 years ago