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3 years ago

Which of the following expressions results in 0 when evaluated at x = 3?

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

You need to provide the expressions you have to choose from.

Step-by-step explanation:

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PLZ ANSWER FAST!!!

Triss [41]

Answer:

First option.

Third option.

Fifth option.

Hope this helps :)

5 0

3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

Simple interest $1600.00 at 6% for 180 days

ikadub [295]

Answer:

Interest = $47.34

Step-by-step explanation:

Formula:-

Simple interest I = PNR/100

P - Principle amount

N - number of years

R - Rate of interest

It is given that

P = $ 1600

R = 6%

Number of days = 180 days

To find the simple interest for 1 year(365 days) 

I = PNR/100

= (1600 * 1 * 6)/100 = $96

To find the interest for 180 days 

For 365 day I = $96

For 180 days I = (180/365) * 96

I = $47.34

7 0

3 years ago

Marek thinks of 2 prime numbers that are larger than 3. He multiplies the 2 numbers together.is his answer odd or even.

Stolb23 [73]

Im thinking it would be odd because when you multiply 2 odd numbers youre result is usually odd

5 0

3 years ago

Read 2 more answers

The length of a rectangular garden is 10 feet longer than its width. if the garden's perimeter is 184 feet, what is the area of

Annette [7]

Width = w
length = w + 10
perimeter 2w+2l=184

2w + 2(w+10) = 184
2w + 2w + 20 = 184
4w = 164
w = 164/4 = 41

w = 41
l = 51

Area = wl
Area = 41×51 = 2091 Sq ft

8 0

3 years ago