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2 years ago

Using distributive property 7(5x+12)

2 answers:

5 0

This'll equal 35x+84 because you would multiply the 5 and 12 with seven, and 5 times 7 is 35 and 7 times 12 is 84 which will equal 35x+84

Anuta_ua [19.1K]2 years ago

4 0

35x+84 is the answer :)

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What is the difference between a triangular number and a cube number?

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A cube number is an integer which is a third power of another integer.

A triangular number is a number that counts the objects that can form equilateral triangle (sorry, I cribbed it a little from Wikipedia; it's difficult to explain). Just look at the picture.
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2 years ago

A line has a slope of -5 and passes through (1,-1). What is the equation in line point-slope form?

valentinak56 [21]

The slope of the line is Y=-5

4 0

2 years ago

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Which property does this example show? 2.61 + 92.7 = 92.7 + 2.61

azamat

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Hope this helps !

Photon

6 0

2 years ago

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Please help this is important<br> -1.5x+12=2.5x-12

Anna35 [415]

Answer:

x = 6

Step-by-step explanation:

move all terms to the left:

-1.5x+12-(2.5x-12)=0

get rid of parentheses

-1.5x-2.5x+12+12=0

add all the numbers together, and all the variable.

-4x+24=0

move all terms containing x to the left, all other terms to the right

-4x=-24

x=-24/-4 - divide

x=+6

7 0

2 years ago

Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts $38^{\circ}$ angle to each other

The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

Insert the values

$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

Resultant makes an angle of

$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

So, the resultant makes an angle of $22.57^{\circ}$ with 9 lb force

Angle made with 13 lb force is $38^{\circ}-22.57^{\circ}=15.43^{\circ}$

7 0

2 years ago

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