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3 years ago

What is the midpoint of a line segment with the end points (-6 -3) and (9 -7)

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer: (1.5, -5)

Step-by-step explanation:

If you use the midpoint formula and plug in your coordinates, you’ll get (-6+9/2, -3+(-7)/2). Simplify and you get (3/2, -5) which is also (1.5, -5).

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4. A survey found that of 26 food restaurants, 13 were pizza parlours, 9 did not sell alcohol, and 7 were pizza

ICE Princess25 [194]

Answer: 16/13

Step-by-step explanation:

Facts:

Total: 26 restaurants

Pizza parlors: 13

9/13 do not sell alcohol

7/13 do not sell alcohol

Total probability (not serving alcohol): 16/13

8 0

2 years ago

I need ASAP please help me

Colt1911 [192]

Answer:

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Step-by-step explanation:

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5 0

2 years ago

Evaluate UV if possible.

Mnenie [13.5K]

Answer: B

Step-by-step explanation:

Multiply U and V:

$\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}$

$\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}$

$\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}$

$=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}$

$\mathrm{Simplify\:each\:part:}$

$=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}$

Therefore, the correct answer is B

5 0

2 years ago

hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a

nalin [4]

Answer:

a. 205320

b. 34220

c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

Step-by-step explanation:

a) The number of ways to dustribute exams among the TA's is:

n / (n - r)!

n= number of things to choose from

r= Choosing r number

60P3= 60! / (60 - 3)!

(60)(59)(58)(57)! / (57)!

=205320

B) The number of ways to dustribute the exams among the TA's is:

n! /(n - r)! r!

60C3= 60! /(60 - 3)! 3!

= 60!/ 57! 3!

= 60 × 59 × 58 / 3 × 2 × 1

= 34220

C) The required number of ways is:

60C25 + 60C20 + 60C15

= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

6 0

3 years ago

In sequence 2,6,18,54,162,468,1458, what is term 12? show all the steps using the formulas.

Gnesinka [82]

you can simply answer Gl =2 r= g2/g1 6÷2 =3

glr^11 = 2× 3^11

3 0

3 years ago