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poizon [28]
3 years ago
8

Use the following area model to multiply 42 x 73

Mathematics
1 answer:
Sergio [31]3 years ago
7 0

A=2800,B=120,C=140,D=6

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eight more than the product of four and a number is equivalent to seven less than the same number in equation form.
Georgia [21]
4n + 8 = n - 7
(In which 'n' represents the unknown number)

(4n + 8): "Eight more than the product of four and a number"

(= n - 7): "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:
4n = n - 15

Subtract n from both sides:
3n = -15

Divide both sides by 3:
n = -5
5 0
3 years ago
Find the length of the leg x. Enter the exact value, not a decimal approximation.
kherson [118]
Answer:
x = 2√13.

Step-by-step explanation:

Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
3 0
2 years ago
14-(-5x)+2x-(-32)+4z-2x
castortr0y [4]
-5x + 46 +4z
Combine like terms
-5x + 2x = -3x
-3x + -2x = -5x
14 - (-32) = 46
4z is left alone since it doesn't have a like term.
6 0
3 years ago
A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of
Rashid [163]
The function would be v (r+3)=4/3 π(r+3)^3.
8 0
3 years ago
What are all the exact solutions of -3tan^2(x)+1=0? Give your answer in radians.
goldenfox [79]
   
\displaystyle\\
 -3\tan^2x + 1 = 0\\\\
 -3\tan^2x = -1\\\\
\tan^2x =  \frac{-1}{-3} \\\\
\tan^2x =  \frac{1}{3} ~~~~~ \Big|~\sqrt{~~~} \\\\
\sqrt{\tan^2x} =  \sqrt{\frac{1}{3}} \\\\
\tan x = \Big| \frac{1}{ \sqrt{3} } \Big|\\\\
\tan x = \Big| \frac{\sqrt{3}}{ 3 } \Big|\\\\
\tan x =  \frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_1=  \frac{\pi}{6} + k\pi,~~k \in N \\\\  
\tan x =  -\frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_2=  \pi-\frac{\pi}{6} + k\pi = \frac{5\pi}{6} + k\pi,~~k \in N \\\\  




4 0
3 years ago
Read 2 more answers
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