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aksik [14]
2 years ago
8

1/2 x + y = 8 and 2y = x + 14 pls show your work thx

Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

9514 1404 393

Answer:

  (x, y) = (1, 7.5)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second equation.

  y = 8 -1/2x . . . . . subtract 1/2x

  2(8 -1/2x) = x +14

  16 -x = x + 14 . . .eliminate parentheses

  2 = 2x . . . . . . . add x-14

  1 = x . . . . . . . . divide by 2

  y = 8 -1/2(1) = 7 1/2

The solution is (x, y) = (1, 7 1/2).

__

<em>Alternate solution</em>

Type the equations into a graphing calculator and let it show you the solution.

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Among all pairs of numbers whose difference is 6, find a pair whose product is as small as possible. What is the minimum product
kkurt [141]
Ummm if its multiply then its 1 and 6. is its addition then its 1 and 5 or 6 and 0. if its divide it would be 6 and 1. is its subtraction then it would be 7 and 1 or 6 and 0

3 0
4 years ago
Which ordered pairs make the open sentence true? 3x+y&lt;14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0
Jet001 [13]

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

4 0
3 years ago
How u can convert decimal to a fraction in .23?
Vlada [557]

23

%

=

23

100

=

0.23

First we have to think that the symbol

%

=

1

100

so that

23

%

=

23

⋅

(

1

100

)

this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.

the result is the fraction

23

100

Now, to convert to decimal, simply divide 23 by 100

23

÷

10

=

2.3


and

2.3

÷

10

=

0.23

this is the same as

23

÷

100

=

0.23

4 0
3 years ago
a triangle has a side length of 3/4 inch and a side length of 3in what could be the length in inches of the third side of the tr
eimsori [14]
I think the answer will be 6.75
6 0
3 years ago
Here is an equilateral triangle. The length of each side is units. A height is drawn. In an equilateral triangle, a line drawn f
Temka [501]

1. Height of the equilateral triangle is: √3 units

2. Area of the equilateral triangle = √3 units²

3. Area = √3/4 x², when each side is x.

<h3>What is an Equilateral Triangle?</h3>

A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.

1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:

h = √(2² - 1²)

h = √(4 - 1)

h = √3

2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)

Area of the equilateral triangle = √3 units²

3. If x is the side length of the equilateral triangle, we would have:

height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x

Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²

Learn more about equilateral triangle on:

brainly.com/question/15294703

#SPJ1

3 0
2 years ago
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