MATHEMATICS HIGH SCHOOL

What can be said about the discriminant of the graph below?

Answers

Answer 1

Answer:

Answer:

C. The discriminant is negative, so there are no solutions.

Step-by-step explanation:

We see that the given figure is a graph of a parabola.

The equation of the given parabola is $y=(x-3)^(2)+1$ .

Simplifying the equation in quadratic form, we get,

The equation is $y=(x-3)^(2)+1$ i.e. $y=x^(2)+9-6x+1$ i.e. $y=x^(2)-6x+10$ .

We know that the discriminant of a quadratic equation $ax^(2)+bx+c=0$ is given by $D=b^(2)-4ac$

So, from the equation $x^(2)-6x+10=0$ , we have,

a = 1, b = -6 and c = 10

Thus, the discriminant is $D=(-6)^(2)-4* 1* 10$

i.e. $D=36-40$

i.e. $D=-4$

So, the discriminant is -4 i.e. negative.

Hence, as the discriminant is negative, there are no solutions.

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Thank you if you choose to answer

Simplify the expression below.
√169

Answers

Answer:

The simplified form of the given expression is 13.

Step-by-step explanation:

The given expression is

$√(169)$

It can be written as

$√(13* 13)$

$√(13^2)$

$(13^2)^{(1)/(2)}$ $[\because √(x)=x^{(1)/(2)}]$

$13^{(2)/(2)}$ $[\because (x^m)^n=x^(mn)]$

$13^(1)$

$13$

Therefore the simplified form of the given expression is 13.

The square root of 169 is 13 because 13X13 equals to 169.

I don't understand at all

Answers

The answer is b, as angles ABC is the first half of the angle.

ItsB as it's asking for angle 2 and you can either go from DBC or CBD. But as DBC is only there, so it's B.

Hope this helps!

What's the circumference of a circle with a diameter of 12 ft

Answers

circumference=pid
d=diameter
circumference=12pi
if you aprox pi=3.141592
c=37.699104 ft

The answer is 37.7 ft.

there were 7 roses in the vase. Jessica cut some more roses from her flower garden. there are now 15 roses in the vase. how many roses did she cut?

Answers

Answer:

Jessica cut 8 roses.

Step-by-step explanation:

15-7=8

You have to subtract the amount she cut from the flower garden (15) to the amount which the vase had (7), in which you will get an answer of 8.

What is a trapezium?

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A type of quadrilateral (for geometry) or bone in the wrist (anatomy).

A trapezium is a type of a quadrilateral.

Round the decimal number to the nearest hundredth 5.6192

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the 1 is the digit in te hundredths place, so you need to look at the digit directly to the right of that, the 9. When rounding, if the digit to the right pf the place you're rounding is 0-4, the number you're rounding stays the same, and all digits to the right become zeros. If that digit is 5-9, the digit you're rounding goes up to the next number, and all digits to the right become zeros. So, because the digit to the right of the hundredths place is a 9, that tells you that the 1 has to go up to the next number in counting order, so the number 5.6192 becomes 5.62 when rounded to the hundredths place.

Other Questions

Write the linear equation between the points: (-4, 5) and (0, -2)aby=7/4x+2y=-7/4x-2y=-4/7x-2y=4/7x-2C Сd

Write and inequality for Toni can carry up to 18lb in her backpack.

4m + 9 + 5m - 12 = 42

What is the value of the expression? 25 – 4 + (40 ÷ 20)5