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aleksandr82 [10.1K]
3 years ago
14

Solve the system using elimination. y – x = 13 7y + x = 11

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

Answer:

x= -10 ; y= 3

Step-by-step explanation:

see the picture

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\frac{1}{2} c > -1\\c > -2\\

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Gross income is all a persons receipts and gains from all sources before any deductions.
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The following histogram shows the number of items sold at a grocery store at various prices:
monitta

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<h2><u><em>its B</em></u></h2>

Step-by-step explanation:

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Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5
Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

                                = 8 units

CB =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD.  A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So,  we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

6 0
3 years ago
How is writing expressions with variables and numbers similar to writing expressions using words?
Vladimir79 [104]

Answer: Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable). One of the many reasons is that math is more precise and easier to work with than words are.

Step-by-step explanation:

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