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3 years ago

Answer this with great detail and answer as correct and get the brainliest.

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Answer:

11 PM

Step-by-step explanation:

Since bus is going at 48 and motorcyclist going at 72, the motorcyclist will catch up the bus by 72 - 48 = 24 miles an hour

Also, since motorcyclist left 4 hours after the bus, the bus is already ahead by 48 * 4 = 192 miles

So how long will the motorcylicst take to catch up 192 miles at 24 miles catch-up an hour?

192/24 = 8 hours

To find time:

Motorcylist started 4 hours after 11 AM, so his time of starting is 3PM. Then it will take him 8 hours, so that is 11PM

Hence, at 11pm he will catch up to the bus.

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Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: $(x^2 + x + 2)(x^2 - 2x + 3)$

By using distributive property: a(b+c+d)= ab+ac+ad

$(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6$

Maximum possible terms =9

Combine like terms

$x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6$

Hence, $\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6$

Degree of polynomial (highest degree) =4

Number of terms = 5

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2 years ago

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Step-by-step explanation:

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3 years ago

Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2

jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

$(y - y1) = m1(x - x1)$

Now, put all values.

$(y + 2) = m1(x - 2)$

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

$(y + 2) = \frac{ - 1}{5} (x - 2)$

Simplify them.

$5(y + 2) = - x + 2$

$5y + 10 = - x + 2$

$x + 5y + 8 = 0$

Therefore the required equation is x+5y+8= 0.

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