Consider the line y=7x-3 fine the equation that pass through -5,6 of a perpendicular
1 answer:
Answer:
Step-by-step explanation:
Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Your line has a slope of 7. In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope. The perpendicular slope to m = 7 is m = -1/7. Now we go through x = -5 and y = 6 to find the new equation.
6 = -1/7(-5) + b gives us
6 = 5/7 + b and
b = 37/7
Therefore, the equation of the line perpendicular to your original line is
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1. Ans: Option (B) 
Explanation:
Given:
Take the common out:
=>
Hence: =>![[tex]-6x^4](https://tex.z-dn.net/?f=%5Btex%5D-6x%5E4)
[/tex] (Option B)
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: => (Option D)
3. Ans: Option (B)
<span> quadratic trinomial
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=> (Option B)
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
<span>
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = - 
=> Final area of the Yard =
(Option D)
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= -
=> Final area of the lot = (Option A)
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Explanation:
Given:
Take the common out:
=>
Hence: =>
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: =>
3. Ans: Option (B)
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=>
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard =
=> Final area of the Yard =
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot=
=> Final area of the lot =
-i