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bulgar [2K]
3 years ago
12

What is the distance between points S and T?

Mathematics
2 answers:
Margarita [4]3 years ago
8 0

Answer:  16 units

Step-by-step explanation:

The distance between any two points x_1 and x_2 on a number line is given by :-

d=|x_2-x_1|

From the given picture, there is a number line where point S is at -2 and point T is at 14.

Then, the distance between points S and T will be :_

d=|14-(-2)|\\\\\Rightarrow\ d=|14+2|=|16|=16\text{ units}

Hence, the distance between points S and T = 16 units

Alex_Xolod [135]3 years ago
7 0
The distance between points S and T is 16.
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I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil
RSB [31]

Answer:

72\pi\ in^{3}

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in -----> the radius is half the diameter

h=12\ in

substitute the values

V=\pi (3)^{2}(12)=108\pi\ in^{3} ------> exact value

step 2

Calculate  2/3 of the volume

V=(2/3)108\pi=72\pi\ in^{3}

8 0
3 years ago
Which quadratic equation has the roots -1+4i and -1-4i
AysviL [449]

Answer:

C

Step-by-step explanation:

Solve the quadratic in answer choice C using the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Here a=1, b=2, and c=17.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-2+/-\sqrt{(-2)^2-4(1)(17)} }{2(1)}=\frac{-2+/-\sqrt{4-68}}{2)}

\frac{-2+/-\sqrt{-64} }{2}=\frac{-2+/-8i }{2}=-1+/- 4i


6 0
3 years ago
If $300 is invested at a rate of 5% per year and is compounded quarterly how much will the investment be worth in 15 years?
dimulka [17.4K]

Answer:

In 15 years the final balance will be $632.15

Step-by-step explanation:

The final balance would be $632.15 and the total compound interest would be $332.15. If you have trouble with these kind of questions in the future I suggest using a compound interest calculator that can be found online :)

5 0
2 years ago
In the expression 7x^3 what is the coefficient? what is the term?
Anika [276]

Answer:

no

Step-by-step explanation:

no

5 0
3 years ago
Graph the equation by first finding the​ x- and​y-intercepts.
dalvyx [7]

Answer:

x-intercept: (2,0)

y-intercept: (0,3)

Step-by-step explanation:

We are asked to graph our given equation \frac{1}{2}x+\frac{1}{3}y=1.

To find x-intercept, we will substitute y=0 in our given equation.

\frac{1}{2}x+\frac{1}{3}(0)=1

\frac{1}{2}x+0=1

2*\frac{1}{2}x=2*1

x=2

Therefore, the x-intercept is (2,0).

To find y-intercept, we will substitute x=0 in our given equation.

\frac{1}{2}(0)+\frac{1}{3}y=1

0+\frac{1}{3}y=1

3*\frac{1}{3}y=3*1

y=3

Therefore, the y-intercept is (0,3).

Upon connecting these two points, we will get our required graph as shown below.

8 0
3 years ago
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