Answer:
(-7)+(-2)
Step-by-step explanation:
Which other expression has the same value as (-7) – 2?
The expression given :
(-7) – 2 = - 7 - 2 = - 9
To obtain our answer, we find the result of the expressions given in the option :
(-7)+2 = - 7 + 2 = - 5
7- (-2) = 7 - - 2 = 7 + 2 = 9
7+(-2) = 7 - 2 = 5
(-7)+(-2) = - 7 + - 2 = - 7 - 2 = - 9
Only option D gives the same result as the result of the expression given ; hence, our answer is option D
The volume of any prism is equal to its base times its height. V = Bh
A figure such as a pyramid or cone has 1/3 of the volume of the prism which contains it. V = Bh/3
In the case of our pyramid here...
B = 15√3 cm²
h = 4 cm
Plug these into our formula...
V = Bh/3 = (15√3)(4)/3 = (60√3)/3 = 20√3 cm³
The numbers are: "3" and "9" .
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Explanation:
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Let "x" represent one of the two (2) numbers.
Let "y" represent the other one of the two (2) numbers.
x = 2y + 3 ;
x + y = 12 .
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Method 1)
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x = 12 <span>− y ;
Plug this into "x" for "2y + 3 = x" ;
</span>→ 2y + 3 = 12 <span>− y ;
</span>
Add "y" to each side of the equation; & subtract "3" from each side of the equation ;
→ 2y + 3 + y − 3 = 12 − y + y <span>− 3 ;
</span>
to get: 3y = 9 ;
Divide each side of the equation by "3" ;
to isolate "y" on one side of the equation; & to solve for "y" ;
3y / 3 = 9 / 3 ;
y = 3 .
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Now: x = 12 − y ; Plug in "3" for "y" ; to solve for "x" ;
→ x = 12 − 3 = 9
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So; x = 9, y = 3 .
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Method 2)
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When we have:
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x = 2y + 3 ;
x + y = 12 .
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→ y = 12 − x ;
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Substitute "(12−x)" for "y" in the equation:
" x = 2y + 3 " ;
→ x = 2(12 − x) + 3 ;
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Note the "distributive property of multiplication" :
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a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
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As such:
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→ 2(12 − x) = 2(12) − 2(x) = 24 − 2x ;
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So; rewrite:
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x = 2(12 − x) + 3 ;
as:
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→ x = 24 − 2x + 3 ;
→ x = 27 − 2x ;
Add "2x" to each side of the equation:
→ x + 2x = 27 − 2x + 2x ;
→ 3x = 27 ;
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
3x / 3 = 27 / 3 ;
x = 9 .
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Note: "y = 12 − x" ; Substitute "9" for "x" ; to solve for "y" ;
→ y = 12 − 9 = 3 ;
→ y = 3 .
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So, x = 9 ; and y = 3.
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The numbers are: "3" and "9" .
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To check our answers:
Let us plug these numbers into the original equations;
to see if the equations hold true ; (i.e. when, "x = 9" ; and "y = 3"
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→ x + y = 12 ;
→ 9 + 3 =? 12 ? Yes!
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→ x = 2y + 3 ;
→ 9 =? 2(3) + 3 ?? ;
→ 9 =? 6 + 3 ? Yes!!
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Answer:
The required equation shows the formula solved for h is
Step-by-step explanation:
Consider the provided information.
The formula of volume of cone is:
Where V, is the volume of the cone with radius, r, and height, h.
Bailey knows the volume and radius of her cone, and she wants to determine the height.
In order to find the height of the cone Bailey need to solve the equation for h.
Multiply both the sides by 3.
Divide both the sides by πr².
Hence, the required equation shows the formula solved for h is