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crimeas [40]
3 years ago
12

Solve for x.....................

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

B  x=3

Step-by-step explanation:

12x = 2x^2 +18

Divide by 2

12x/2 = 2x^2/2 +18/2

6x = x^2 +9

Subtract 6x from each side

6x-6x = x^2 -6x+9

0= x^2 -6x+9

Factor

What 2 numbers multiply to 9 and adds to -6

-3*-3 = 0

-3+-3 =-6

0= (x-3) (x-3)

Using the zero product  property

x-3 =0   x-3 =0

x=3   x=3

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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
Dovator [93]

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form  ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}

where

The <u>discriminant</u> of the <u>quadratic equation</u>  is equal to

b^{2}-4ac

if  (b^{2}-4ac)> 0 ----> the <u>quadratic equation</u> has two <u>real roots</u>

if  (b^{2}-4ac)=0 ----> the <u>quadratic equation</u> has one <u>real root</u>

if  (b^{2}-4ac)< 0 ----> the <u>quadratic equation</u> has two <u>complex roots</u>

in this problem we have that

the <u>discriminant</u> is equal to -8

so

the <u>quadratic equation</u> has two <u>complex roots</u>

therefore

the answer is the option A

There are two complex roots

5 0
3 years ago
Read 2 more answers
Calculate the average rate of change of a function over a specified interval.
RideAnS [48]

Answer:

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8 0
3 years ago
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Please help! Two math problems!!!
Fynjy0 [20]

Answer:

Tell me if i am wrong. :)

Step-by-step explanation:

To solve for y:

Q.1   2x + y = -1

       y = -1 - 2x

Q. 2.  4x - 5y = 7

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3 0
3 years ago
Please help me I would really appreciate it.
Karo-lina-s [1.5K]

Given:

\overline{AB}\cong \overline {CD},\overline{BC}\cong \overline {DA}

To prove:

\Delta CDA\cong \Delta ABC

Proof:

In \Delta CDA\text{ and } \Delta ABC,

\overline{AB}\cong \overline {CD} because Given

\overline{BC}\cong \overline {DA} because Given

\overline{AC}\cong \overline {AC} because Reflexive property.

Corresponding sides of both triangles are congruent. So,

\Delta CDA\cong \Delta ABC because SSS

Therefore, the required missing values are: Given, \overline{BC}\cong \overline {DA}, Reflexive property ,\Delta CDA\cong \Delta ABC, SSS respectively.

5 0
3 years ago
What is 263874 rounded to the nearest 10000
Archy [21]
30000 is the answer as it is ajove 20000 in comparison to rounding down
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