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ICE Princess25 [194]
3 years ago
8

(25 points)

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0
Here, y = -15 with x = -20
LCM of 15 & 20 is 60, so divide 15 & 20 from 60, 
60/15 = 4 & 60/20 = 3

Now, multiply the results with intial values, 
4y = 3x
y = 3/4 x

When y = 12, 
x = 12 * 4/3
x = 48 / 3
x = 16

In short, Your Answer would be 16

Hope this helps!

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Mrrafil [7]

Answer:

b) all interior angles are right angles

8 0
3 years ago
What type of number is root of 50
kirill [66]

Irrational Number

You can tell this easily because the square root of 50 isn't a perfect number.

7 0
3 years ago
Read 2 more answers
How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

----------------

0 4x² - x

- 4x² - 4x

-----------------------

0 + 3x - 3

- 3x - 3

---------------------------

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
To determine whether the inverse of a function is a function you can perform the horizontal line test.
iris [78.8K]

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

7 0
3 years ago
Step by step explanation please
galina1969 [7]

Two equal triangles

2(1/2×b×h)

=2(1/2×8×10)

= 80 {cm}^{2}

Three rectangles

=3(l×h)

=3(18×8)

=3(144)

432 {cm}^{2}

Total Surface area

80 {cm}^{2}   +  432 {cm}^{2} \\ 512 {cm}^{2}

8 0
3 years ago
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