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2 years ago

Systems with three variables. please help

Mathematics

1 answer:

kirza4 [7]2 years ago

3 0

X= 6
Y= 0
Z= -2

CHECK
3x + y -2z =22
3(6) + 0 -2(-2) =22
18 + 0 +4= 22
22=22

x+5y+z =4
6 +5(0)+ -2 =4
6 + 0 +-2 = 4
4=4

x+3z=0
6 + 3(-2) =0
6 -6 = 0
0=0

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5x-3 =2x+15 <br> Someone pls help for geometry

inysia [295]

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

<h3>i) move 2x to the left-hand side and change its sign</h3>

5x-2x-3 = 15

<h3>ii) move -3 to the right-hand side and change its sign</h3>

5x-2x = 15+3

<h3>iii) collect like terms</h3>

3x = 15+3

<h3>iv) add the numbers</h3>

3x = 18

<h3>v) divide both sides of the equation by 3</h3>

$\frac{3x}{3} = \frac{18}{ 3}$

$x = 6$

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2 years ago

Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by ch

Shalnov [3]

Answer:

1. LM < PN

2. AD < DC

3. m<CAB < m<CBA

4. m<1 = m<2

Step-by-step explanation:

Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.

1. LM is opposite to <LNM,

PN is opposite to <NLP

m<LNM is less than m<NLP, therefore,

LM < PN

2. AD is opposite to <ABD

DC is opposite to <DBC

m<ABD is less than m<DBC, therefore,

AD < DC

3. m<CAB is opposite to CB

m<CBA is opposite to CA

CB is less than CA, therefore,

m<CAB < m<CBA

4. The side opposite to <1 is congruent to the side opposite to <2.

Therefore,

m<1 = m<2

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2 years ago

Determine whether the function is periodic. If it is, find the period.

Vadim26 [7]

<span>A. periodic; about 6</span>

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3 years ago

Read 2 more answers

Which expression could be used to determine the reduction of -4 and 3 1/4

Setler79 [48]

Answer:

The expression that could be used is (-4)(3) + (-4)( $\frac{1}{4}$ ) ⇒ B

Step-by-step explanation:

Let us revise the distributive property:

<em>The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers</em>

a(b + c) = ab + ac

We will use this rule to solve the question

∵ The product of -4 and 3 $\frac{1}{4}$ = -4 × 3 $\frac{1}{4}$

→ We can right 3 $\frac{1}{4}$ as (3 + $\frac{1}{4}$ )

∵ 3 $\frac{1}{4}$ = (3 + $\frac{1}{4}$ )

∴ -4 × 3 $\frac{1}{4}$ = -4(3 + $\frac{1}{4}$ )

→ By using the rule above

∵ -4(3 + $\frac{1}{4}$ ) = (-4)(3) + (-4)( $\frac{1}{4}$ )

∴ -4 × 3 $\frac{1}{4}$ = (-4)(3) + (-4)( $\frac{1}{4}$ )

∴ The expression that could be used is (-4)(3) + (-4)( $\frac{1}{4}$ )

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2 years ago

The following data set represents the age of

Julli [10]

$\huge\text{Hey there!}$

$\huge\textsf{Breaking the meaning down in simpler terms}$
$\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}$

$\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}$

$\huge\textsf{Formulas for each term}$

$\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }$

$\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}$

$\huge\textbf{SOLVING FOR THE QUESTION}$

$\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}$

$\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}$

$\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>
~ $\frak{Amphitrite1040:)}$ </h3>

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2 years ago