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Alisiya [41]
3 years ago
6

Sierra used 4 pears and 12 apples to make a fruit salad. What is the

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer: 1:3

Step-by-step explanation: for every pear she uses 3 apples

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Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12
Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

\sf \longrightarrow 2y + 4x = 12 \\

\sf \longrightarrow 4x + 2y = 12

Firstly convert this into slope intercept form , to find out the slope of the line.

\sf \longrightarrow 2y = -4x +12\\

\sf \longrightarrow y =\dfrac{-4x+12}{2}\\

\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\

\sf \longrightarrow \red{ y = -2x + 6 }

Now on comparing it to slope intercept form which is y = mx + c , we have ,

  • m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

\sf \longrightarrow y - y_1 = m(x - x_1)

Now on substituting the respective values we have,

\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\

\sf \longrightarrow 2(y-1 )= x -8 \\

\sf \longrightarrow 2y -2=x-8\\

\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}

5 0
3 years ago
I need help 9-16!!Thank u!
Trava [24]

Answer:9-16=-7


Step-by-step explanation:


5 0
3 years ago
Find the mean (average) of each set of numbers. Round your answer to the nearest tenth 17 , 17 , 11 , 10 , 1 , 20 , 17 , 17
FrozenT [24]

Answer:

13.8

Step-by-step explanation:

took test

3 0
3 years ago
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Q1147 11487 Laito 58 Primary 0914211068 to!
vitfil [10]

Answer:

TRUE I REALLY HOPE THIS HELPS YOU OUT

Step-by-step explanation:

3 0
2 years ago
What is the slope of 6,10 3,-2
Artyom0805 [142]

Slope Formula: y2-y1/x2-x1

= -2-10/3-6

= -12/-3

= 4 (Slope of the line)

Hope This Helped! Good Luck!

5 0
3 years ago
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