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2 years ago

The sum of negative 45 times a number and twelve is 117. What is the number?

Mathematics

1 answer:

blagie [28]2 years ago

7 0

Answer:

-2.33

Step-by-step explanation:

Let the number be denoted as "x"

-45x + 12 = 117

-45x = 117-12

-45x = 105

x = 105/-45

x= -2.33

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56% of what number is 84

damaskus [11]

We set up a proportion: 84/?= 56/100

Cross multiply: 56*?= 84*100
⇒ ?= 84*100/56= 150

56% of 150 is 84.

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2 years ago

Which real value of m makes the expression undefined<br><br> M^8+1/4m^2

Soloha48 [4]

Answer:

m = 0

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the rational expression undefined. Equating the denominator to zero and solving gives the value that m cannot be.

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2 years ago

If 6 - 7 = -1, which of the following is true?

MAXImum [283]

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2 years ago

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trasher [3.6K]

Answer:

lol

Step-by-step explanation:

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1 year ago

(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no

Anni [7]

Answer:

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

Step-by-step explanation:

Given that

Vector a , a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

$V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\ 0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k$

The unit vectors

$V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}$

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

5 0

2 years ago