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2 years ago

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

Mathematics

1 answer:

tia_tia [17]2 years ago

4 0

Answer:

There are two complex roots.

Step-by-step explanation:

When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.

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Simplify where possible 3 (x+3)

lawyer [7]

Distributive property
3(x+3)

3*x + 3*3

3x+9

divide by three to simplify

x + 3

if you’re supposed to solve it, subtract three

x = -3

8 0

2 years ago

Find the value of x when : 2^30/8^9=2^x

artcher [175]

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

3 0

2 years ago

Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is co

SIZIF [17.4K]

Answer:

The land that is covered with an irrigation arm of 370 ft is $430,084\ ft^2$

Step-by-step explanation:

<u>Area of the circle</u>

Being r the radius of a circle, its area can be calculated as follows:

$A=\pi\cdot r^2$

The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:

$A=\pi\cdot 370^2$

$A=430,084\ ft^2$

The land that is covered with an irrigation arm of 370 ft is $430,084\ ft^2$

3 0

3 years ago

Josh makes a fruit salad with bananas, blueberries, and strawberries. He uses 234 pounds of bananas, 112 pounds of blueberries,

4vir4ik [10]

Answer:

234+112=346

618-346=272

Josh used 272 pounds of strawberries in his fruit salad.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Bobby catches 8 passes in 3 football games. At this rate, how many passes does he

olasank [31]

Answer:

40 passes

Step-by-step explanation:

we know that

Bobby catches 8 passes in 3 football games

using proportion

Find out how many passes does he catch in 15 games

$\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes$

7 0

3 years ago

Read 2 more answers