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mr_godi [17]
3 years ago
5

+find the discriminant and the number of real roots for this equation 9x^2+12x+14

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
8 0

Answer:

no real roots

Step-by-step explanation:

9x²+12x+14

recall that for a quadratic equation ax²+bx+c, the discriminant = b²- 4ac

In our case,

discriminant,

= b²- 4ac

= 12² - 4(9)(14)

= 144 - 504

= -360

because the discriminant is negative, there are no real roots.

Dimas [21]3 years ago
3 0

Answer:

the number of real roots for this equation 9x^2+12x+14 is :

0 (zero)

Step-by-step explanation:

Let Δ represent the discriminant

Δ = b² - 4ac = 12² - 4(9)(14) = -360

since Δ < 0 then it doesn’t have any real root.

You might be interested in
Please help, find the area of the polygon.
disa [49]

Answer:

126cm²

Step-by-step explanation:

first divide the figure into two( rectangle and a triangle)

area of a rectangle=length x width

16cmx7xcm

112xcm²

area of a triangle=1/2base x height

1/2x7cmx(20-16)cm

1/2x7cmx(4)cm

14cm²

total area of the figure=area of rectangle+area of triangle

=112cm²+14cm²

=126cm²

hope this is helpful

8 0
3 years ago
Please help me stuck on this question.
lions [1.4K]

Answer:

x = 65°

Step-by-step explanation:

See the attached diagram.

Given lines, p and q are parallel and line a and b are parallel to each other.

So, the closed figure that formed is a parallelogram.

Then, two opposite angles indicated by y are equal.

Now, angle y and angle 50° makes a straight line so, they are supplementary.

Then, 50 + y = 180

⇒ y = 180 - 50 = 130°

Now, angles 2x and y are vertically opposite angles.

Therefore, 2x = 130°

⇒ x = 65° (Answer)

3 0
3 years ago
When do we use d=(x2-x1)+(y2-y1)
stiks02 [169]

Answer:

to find the distance between two points on a coordinate plane

Step-by-step explanation:

yes

8 0
2 years ago
A sofa depreciates at 20% of its original value each year. If the sofa was $349 at its time of purchase, what is the value of th
klemol [59]

Answer:

$142.95

Step-by-step explanation:

Given Original value of the sofa = $349

Rate of depreciation each year = 20%

Number of years = 4

To find the value of the sofa after 4 years use depreciation formula:

If the constant decrease in population be R% per annum. Then the population after n years is  P \times\left(1-\frac{R}{100}\right)^{n}

349 \times\left(1-\frac{20}{100}\right)^{4}=349 \times\left(\frac{100-20}{100}\right)^{4}  

                           =349 \times\left(\frac{80}{100}\right)^{4} 

                           =349 \times\left(\frac{4}{5}\right)^{4}

                           = 142.9504

                           = 142.95 (Nearest cent)

Hence, the value of sofa after 4 years is $142.95.

7 0
3 years ago
Please help me answer this‍♂️
DerKrebs [107]

Answer:

x+x+14=90

2x=90-14

2x=76

x=38 (opp angles =)

8 0
3 years ago
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