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Pavlova-9 [17]
3 years ago
6

What is the solution to the following system of equations?

Mathematics
2 answers:
Natali [406]3 years ago
8 0

Answer:

1.) x=2y-4

2.) x=2y-4 :)

alexira [117]3 years ago
5 0

Answer:

3x - 6y =  - 12 ..........i)\\ x - 2y =  - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i)  \: we \: get \\ 3(2y - 8) - 6y =  - 12 \\ 6y - 24 - 6y =  - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2}  = 0 \\ where,  \: \:  \frac{a \frac{}{1} }{a \frac{}{2} }  =  \frac{b \frac{}{1} }{b \frac{}{2} }  \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.

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In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.
BabaBlast [244]

Answer: length of DE is about 3.3 ft

Step-by-step explanation:  A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h,  Substitute values for sin and o.  O is EC, Opposite the 23° angle D

<em>0.3907311285 = 1.3/h</em> multiply both sides by h

h(0.3907311285) = 1.3 divide both sides by 0.3907311285

h = 1.3/0.3907311285

3.327096065 = h, the length of the hypotenuse, DE.

7 0
2 years ago
Micheal buys two bags or chips and three boxes of pretzels for $5.13 . He then buys another bag of chips and 2 boxes of pretzels
trapecia [35]

Answer:

So a bag of chip costs $2.39

Step-by-step explanation:

Let x = cost of a bag of chip

Let y = cost of a box of pretzel

Micheal buys two bags of chips and three boxes of pretzels for $5.13

This means

2x + 3y = 5.13 - - - - - - - - - -1

He then buys another bag of chips and 2 boxes of pretzels for $3.09

This means

x + 2y = 3.09 - - - - - - - - - - - -2

Solving equation 1 and equation 2 simultaneously and using the elimination method,

Multiply equation 1 by 1 and equation 2 by 2

2x + 3y = 5.13

2x + 6y = 6.18

Subtracting,

-3y = -1.05

y = -1.05/-3= $0.35

Put y= 0.35 in equation, x + 2y = 3.09

x + 2(0.35)= 3.09

x + 0.7= 3.09

x = 3.09-0.7 = $ 2.39

So a bag of chip costs $2.39

5 0
3 years ago
Please hurry! Look image!!
maxonik [38]

Answer:

Step-by-step explanation:

I'm guessing you want the volume?

so for a triangle it's  1/2 base * height for the area

1/2 * 8 * 3 = 12

12*20=240 m^3

5 0
3 years ago
Read 2 more answers
Help please !! thank you so much
belka [17]

Answer:

Yes it is a proportional relationship

Step-by-step explanation:

That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.

5 0
2 years ago
Find the perimeter of a rectangle with a length of
Luba_88 [7]

Answer:

P = 8\sqrt{2} + 10 + 2\sqrt{6}

Can only be simplified through calculator using decimal equivalents.

Step-by-step explanation:

The perimeter of a rectangle is the formula P=2l+2w. Here l=4\sqrt{2} and w=5+\sqrt{6}. So the perimeter is:

P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}


4 0
3 years ago
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