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3 years ago

What is the coefficient for the term whose variable is y2 in the expression 3xy2 + 2y – 4y??

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Answer:

3xy * 2 + 2y - 4y = 3 * 2xy - 2y = 6xy - 2y ;)

Step-by-step explanation:

the explanation is on the answer one sorry i forgot i put it up there but hope this will help you B)

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What is the largest possible number of peopel at a party if no two of them have birthdays in the same month

lakkis [162]

Answer:

Step-by-step explanation:

The answer is 12 because there are 12 different months in a year and also all the attendees must have birthdays in different months and not in the Same month. Hence 12 the largest possible number of attendees

5 0

3 years ago

A triangle has one angle that measures 72 degrees and one angle that measures 18 degrees what kind of triangle is it

MariettaO [177]

Answer:

a rightangle triangle

Step-by-step explanation:

because 72+18=90 degrees

when a side is 90 degrees in a triangle, it is right-angled.

hope this helps you!!

7 0

3 years ago

Easy question so yall get can get brainliest by answering correctly first

storchak [24]

Answer:

Distance is 13.6 units.

Which means it is 13

Step-by-step explanation:

Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).

we have to find the distance between house and the subway stop.

Points are (-7, 8) and (6, 4).

Using distance formula,

D= /(x2-x1)^2+(y2-y1)^2} = (6-(-7))^2+(4-8)^2=(13)^2+16}={169+16}={185}=13.60147\sim13.6units.

Hence, distance between house and the subway stop is 13.6 units.

3 0

3 years ago

In Euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540°. Predict how the sum of the measures

Blizzard [7]

In Euclidean geometry, the sum of the measures of the interior anlges of a pentagon is 540°.

The sum of the measures of the interior angles of a pentagon would be different in spherical geometry because A.) THE SUM WOULD BE GREATER THAN 540°

6 0

3 years ago

g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o

natali 33 [55]

Answer:

The tangent line to the given curve at the given point is $y=9x-26$ .

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of $y=2x^2-7x+6$ and then evaluate it for $x=4$ .

$(y=2x^2-7x+6)'$ Differentiate the equation.

$(y)'=(2x^2-7x+6)'$ Differentiate both sides.

$y'=(2x^2)'-(7x)'+(6)'$ Sum/Difference rule applied: $(f(x)\pmg(x))'=f'(x)\pm g'(x)$

$y'=2(x^2)'-7(x)'+(6)'$ Constant multiple rule applied: $(cf)'=c(f)'$

$y'2(2x)-7(1)+(6)'$ Applied power rule: $(x^n)'=nx^{n-1}$

$y'=4x-7+0$ Simplifying and apply constant rule: $(c)'=0$

$y'=4x-7$ Simplify.

Evaluate y' for x=4:

$y'=4(4)-7$

$y'=16-7$

$y'=9$ is the slope of the tangent line.

Point slope form of a line is:

$y-y_1=m(x-x_1)$

where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Insert 9 for $m$ and (4,10) for $(x_1,y_1)$ :

$y-10=9(x-4)$

The intended form is $y=mx+b$ which means we are going need to distribute and solve for $y$ .

Distribute:

$y-10=9x-36$

Add 10 on both sides:

$y=9x-26$

The tangent line to the given curve at the given point is $y=9x-26$ .

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function $f(x)=2x^2-7x+6$ at $x=4$ (the slope of the tangent line at $x=4$ ):

$\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}$

$\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}$ We are given f(4)=10.

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

$2x^2-7x-4=(x-4)(2x+1)$

Let's check this with FOIL:

First: $x(2x)=2x^2$

Outer: $x(1)=x$

Inner: $(-4)(2x)=-8x$

Last: $-4(1)=-4$

---------------------------------Add!

$2x^2-7x-4$

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

$\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}$

$\lim_{x \rightarrow 4}(2x+1)$

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0

4 years ago