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GalinKa [24]
1 year ago
6

Use the distributive property. 4(5x + 3y - 7) = 20x + 12y + [?]

Mathematics
2 answers:
katen-ka-za [31]1 year ago
6 0

Answer:

- 28

Step-by-step explanation:

4(5x + 3y - 7) ← multiply each term in the parenthesis by 4

= 20x + 12y - 28

Grace [21]1 year ago
3 0
4(5x+3y-7)=20x+12y+(-28)
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QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
If the area of the rectangle is equal 48, what is the value of x? Write an equation you can use to solve.
schepotkina [342]

6 \times 8 = 48

hope it is correct if not I'm sorry

3 0
3 years ago
Read 2 more answers
Three equivalent ratios for 6: 54
vodka [1.7K]
Treat it as a fraction where it must stay equal
6/54
with fractions, you can do anything as long as you do it so top and bottom
so 6/54=1/9=2/18=3/27=4/36=5/45 etc

but don't forget to convert back to ratios
so some examples are 1:9
2:18
3:27
4:35
5:45

4 0
3 years ago
5^2(7) <br> Pls solve I am stuck
AfilCa [17]

Answer:

5^{2}(7) = 175

Step-by-step explanation:

hope this helps! just follow the order of operations. :)

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3 years ago
What is the range of this function?<br> 543210
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7 is the range of this function
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