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3 years ago

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If you were to solve the following systems of equations by using a matrix, which of the following would be your coefficient matr

ix? 5x-y=18 3x+8y=15 (picture as everything in it for better understanding)
A.[5 3,-1 8]
B.[5 -1,3 8]
C.[5 18,3 15]
D.[5 -1 18,3 8 15]

2 answers:

sesenic [268]3 years ago

6 0

the answer on apex is A

DedPeter [7]3 years ago

4 0

C is the only answer

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The slope of the line that passes through the points (3,14) and (7,9) is

Akimi4 [234]

Answer:

m = -1.25

Step-by-step explanation:

Slope = (Y2-Y1) = (9-14) = (-5) = -1.25

(X2-X1) (7-3) (4)

<em>BRAINLIEST PLS!!!</em>

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3 years ago

Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

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3 years ago

A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packing material in 3 seconds. How long would i

True [87]

1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³

Therefore:
A machine can fill 12 ft³ in 3 seconds.

2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

12 ft³---------------------3 seconds
120 ft³-------------------- x

x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.

answer: 30 seconds.

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3 years ago

Josh rides his bicycle at a rate of 7 miles per hour. At that rate, how long would it take him to ride 28 miles?

Kay [80]

Answer:

4 hours

Step-by-step explanation:

If Josh goes 7mph and does 28 miles that means we have to divide the total miles he goes, by how much he goes in an how that way we can figure out how long it will take him.

28÷7=4

It will take Josh 4 hours

4 0

3 years ago

Read 2 more answers

PLEASE HELP QUICK!!! WILL GIVE BRAINLIEST!!

Lera25 [3.4K]

Answer:

$\boxed{\bold{112}}$

Step By Step Explanation:

Follow PEMDAS Order Of Operations

Calculate Within Parenthesis: $\bold{120+\left(12\div \:3\cdot \:30\right): \ 240}$

$\bold{240\div \:20+10^2}$

Calculate Exponents: $\bold{10^2: \ 100}$

$\bold{240\div \:20+100}$

Divide: $\bold{240\div \:20: \ 12}$

$\bold{12+100}$

Add

$\bold{112}$

➤ $\boxed{\bold{Mordancy}}$

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3 years ago