All categories

2 years ago

5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.

Mathematics

1 answer:

Amanda [17]2 years ago

8 0

DONT TRUST LINK!! IT IS USED TO STEAL PERSONAL INFORMATION

You might be interested in

What is the equation of this line? A: y=-3/2x B: y=2/3x C: y=-2/3x D: y=3/2x

creativ13 [48]

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: $\frac{y_2-y_1}{x_2-x_1}$

I will be using (3,2) and (-3,-2) to find the slope:

$m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}$

$y = mx + b\\y = \frac{2}{3}x+b$

(3,2)

$y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b$

$y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x$

Hope this helps!

8 0

2 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

Tell whether the statement is sometimes, always, or never true. Explain your reasoning. The x-coordinate of a point on the x-axi

Tom [10]

I think this would be sometimes true

3 0

3 years ago

Read 2 more answers

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax

Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

V=Bh

= r^2h

= * (3.1 cm)^2 * 6

= about 181 cm^3

Then you divide to find out how many candles you can make.

2,970 cm^3/181= 16.4

Hope this helps!

7 0

2 years ago

Please help. I just am I bit confused..

8_murik_8 [283]

Answer:

add tjem all up and fid the outnumber one

Step-by-step explanation:

8 0

2 years ago

5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.​

5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.