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4 years ago

The product of two consecutive integers is 3 less than three times their sum find the integers

Mathematics

1 answer:

Lerok [7]4 years ago

5 0

X(x + 1) = 3(2x + 1) - 3
x(x - 5) = 0 
The two consecutive integers are 5 and 6.

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The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

$A =l\times w$

Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

7 0

3 years ago

Read 2 more answers

Solve the system 8y-5z=23 3y-2z=6 100 POINTS

Hatshy [7]

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

6 0

3 years ago

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Help ME! solve for ∠K.

Ainat [17]

Answer:

Step-by-step explanation:

Every Triangle has 180 degrees.

x + 8x + 3x = 180

12x = 180

x = 180/12

x = 15

Angle K = 3x

K = 3 * 15

K = 45

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3 years ago

What is the answer to 81.56 + n - 2.55

Anna71 [15]

81.56+n-2.55=0
81.56+n=2.55
n=2.55-81.56
n=-79.01

5 0

3 years ago

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Which two numbers add up to 8 and multiply to negative 9?

azamat

facotr -9
add factors
-1+9=8
correct

6 0

3 years ago