39 free points

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

Step-by-step explanation:

The slope is represented by x.

Since the slope of both equation is 1(the same), it means the lines will remain parallel.

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Im so confused pls help

uranmaximum [27]

Answer:

2,3

Step-by-step explanation:

Let the first number be x

Hence, its next consecutive integer = x+1

$Reciprocal\ of\ the\ first\ integer\ = \frac{1}{x} \\Reciprocal\ of\ the\ second\ integer\ = \frac{1}{x+1} \\\\As\ we\ are\ given\ that\ their\ sums\ are\ \frac{5}{6} ,\\\frac{1}{x} + \frac{1}{x+1} = \frac{5}{6} \\\\Through\ butterfly\ method\ of\ resolving\ the\ denominators\,\\\frac{(x+1)+x}{x(x+1)} = \frac{5}{6} \\\frac{2x+1}{x^2+x} =\frac{5}{6} \\6(2x+1)=5(x^2+x)\\12x+6=5x^2+5x\\\\Now, lets\ bring\ all\ the\ terms\ in\ the\ LHS\ to\ RHS.\\\\Hence,\\0=5x^2+5x-12x-6\\5x^2-7x-6=0\\$

By Factorizing the expression on the LHS. we get it equal to :-

$5x^2-7x-6=0\\5x^2-10x+3x-6=0\\5x(x-2) + 3(x-2) = 0\\(5x+3)(x-2)=0$

Hence, we get two solutions for x, x=2, x= -3/5

As x is an integer, x=2 is the most suitable solution in this case.

Hence,

The numbers are 2,3

5 0

3 years ago

(2,-2)

svetoff [14.1K]

You should put 2 as x, -2 as y and b as the y intercept

3x+y=4
$3 \times 2 - 2 = b \\ 4 = b$
the first one is true

x-3y=-4
$2 - 3 \times ( - 2 )= b \\ 2 - (- 6) = b \\ 8 = b$
the second one is wrong

good luck

5 0

4 years ago

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

ratelena [41]

The answer to this question is B

7 0

3 years ago

If r = 6 units and x = 8 units, then what is the total surface area of the cylinder shown above?

Solnce55 [7]

I hope this helps you

Surface Area=2.pi.6.8

Surface Area=96pi

6 0

4 years ago