Which of the following are continuous?

Can you please help me?

Papessa [141]

Answer:

4/D

Step-by-step explanation:

It is quite literally on the outside

4 0

3 years ago

Allyson measures her plant every year. It's now 16 years old and it measures 12 inches. What is the unit

tensa zangetsu [6.8K]

Answer:

3/4 inch per year

Step-by-step explanation:

A unit rate is the change in some quantity per one of another quantity. One common unit rate is miles per hour, which measure the number of miles traveled in one hour. Here, we're asked for the unit rate of plant growth per year, and we're told that at 16 years old, the plant measures 12 inches. Assuming this growth is linear (that is, it grows by the same amount each year), we can divide each quantity by the number of years (16) to find a unit rate of 12/16 = 3/4 inch per year.

5 0

3 years ago

AC is tangent to circle O at point C. What is the length of AB?

DochEvi [55]

The length of AB is 9.

Solution:

Given data:

Radius OC = 8

Tangent AC = 15

The angle between the tangent and radius is always right angle.

∠C = 90°.

Hence OCA is a right triangle.

Using Pythagoras theorem,

In a right triangle square of the hypotenuse is equal to the sum of the squares of the other two sides.

$OA^2=15^2+8^2$

$OA^2=225+64$

$OA^2=289$

$OA^2=17^2$

Taking square root on both sides of the equation, we get

OA = 17

OB is the radius of the circle.

⇒ OB = 8

AB = OA – OB

= 17 – 8

= 9

AB = 9

Hence the length of AB is 9.

4 0

4 years ago

Read 2 more answers

What is 6-2p=p+9 ?Because I don't know it

nikklg [1K]

Hey there!

Firstly, you have to $\bold{simplify}$ each of the sides of your equation
$\bold{6-2p-p+9\downarrow}$
$\bold{6+(-2p)=p+9\downarrow}$
$\rightarrow\bold{-2p+6=p+9}$
Now that you have that portion out of the way, we could move on to our second step... which is to $\bold{subtract}$ by the value of $\bold{p}$ on each of your sides
$\bold{-2p+6-p-p+9-p\downarrow}$
$\rightarrow\bold{-3p+6-9}$ (you get this because we solve the particular equation we added above)
Thirdly, you have to $\bold{subtract}$ by the number $\bold{6}$ on each of your sides
$\bold{-3p+6-6=9-6\downarrow}$
$\bold{Cancel:6-6}$ because it equals to $\bold{0}$
$\bold{Keep:9-6}$ because it brings us closer and closer to the answer of $\bold{p}$
Fourthly, we have to $\bold{divide}$ by the number $\bold{-3}$ on each of your sides
$\bold{\frac{-3p}{-3}=\frac{3}{-3}}$
$\boxed{\boxed{\bold{Answer:p=-1}}}$ $\checkmark$