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3 years ago

What 2 numbers multiplied together equal 35 but when added egual negative 36

1 answer:

6 0

$\begin{cases} xy=35 \\ x+y=-36 \end{cases}\\\\\begin{cases} xy=35 \\ x =-36-y \end{cases}\\ \\substitution\\\\(-36-y)y=35\\\\ -36y-y^2=35$

$y^2+36y+35=0\\\\a=1, \ \ b=36, \ \ c=35\\ \\\Delta =b^2-4ac = 36^2 -4\cdot 1\cdot 35 = 1296- 140=1156\\\\y_{1}=\frac{-b -\sqrt{\Delta} }{2a}= \frac{ -36-\sqrt{1156}}{2}=\frac{-36-34}{2}=-\frac{70}{2}=-35\\\\y_{2}=\frac{-b +\sqrt{\Delta} }{2a}= \frac{-36+34}{2}=-\frac{-2}{2}=-1$

$\begin{cases} y=-35 \\ x =-36- (-35) \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-36- (-1) \end{cases}\\\\\\\begin{cases} y=-35 \\ x =-36+35 \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-36+1 \end{cases}\\\\\\\begin{cases} y=-35 \\ x =-1 \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-35 \end{cases}$

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Kindly answer this question it would be really helpfull

Svetach [21]

Answer:

The values in the table, taking into account the quadratic equation, are:

x -3 -2 -1 0 1 2 3 4
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Step-by-step explanation:

To obtain the values of the table, you must use the quadratic equation given:

y = x^2 - 2x + 1

Now, you must replace the x with the one that is above the value you want to find, in the first case, we're gonna replace the value x with -3:

y = x^2 - 2x + 1
y = (-3)^2 - 2*(-3) + 1
y = 9 + 6 + 1
y = 16

When x is -1

y = x^2 - 2x + 1
y = (-1)^2 - 2*(-1) + 1
y = 1 + 2 + 1
y = 4

When x is 1

y = x^2 - 2x + 1
y = (1)^2 - 2*(1) + 1
y = 1 - 2 + 1
y = 0

When x is 3:

y = x^2 - 2x + 1
y = (3)^2 - 2*(3) + 1
y = 9 - 6 + 1
y = 4

At last, the graph must be as the attached picture I give you, but remember in y-axis you must use 1 cm as unit and in the x-axis you must use 2 cm as unit, in this form, the graph will not be so elongated as the picture I attach, It would be wider.

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Ilia_Sergeevich [38]

Answer: SAS Similarity theorem.

Explanation.

SAS stands for Side - Angle - Side.

SAS theorem states that if two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, then the triangles are similar.

And that is what the figure shows:

1) The angle at M is the same for both triangles.

2) The ratios of the sides are: 2/3 and 4 /6. Given that 2/3 = 4/6 you have that the two corresponding sides have identical ratios.

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Montano1993 [528]

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a bottle of juice holds 3/8 gallon when it is full. if 1/3 of the juice has been poured out, how much juice is left in the bottl

taurus [48]

Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.

8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.

1/3 * 8/8 = 8/24

3/8 * 3/3 = 9/24

There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.

Hope that helped.

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3 years ago

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

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