HELP PLEASE NEED IT RN!

Find equations for the lines through the point (a,

Free_Kalibri [48]

The line y = mx + c has a slope of m.

Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b

Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b

Answer:
Parallel line: $y=m(x-a)+b$
Perpendicular line: $y=- \frac{1}{m}(x-a)+b$

3 0

3 years ago

What is the surface area of the cube?

liraira [26]

SA=6A2 so 6 times 49 squared is 294mmsquared

6 0

4 years ago

Write a function rule for the table.

Pavlova-9 [17]

The correct answer is: [C]: " p = 6.25 h " .
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Explanation:
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It is clear that "pay" is a function of "hours worked" ;

So, we can eliminate: "Choice [B]: " h = 6.25p" .
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Try, Choice [A]: " p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
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Now that we have eliminated choices [A] and [B];

we are left with choices: [C] and [D]:
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Consider choice [C]: " p = 6.25h " ;
 when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;

i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
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Consider choice [D]: " p = 12.5h" .

When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is: Answer choice: [C]: " p = 6.25 h " .
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6 0

3 years ago

Read 2 more answers

7. lid ﬁlls his sports bottle with 1.2 liters of water After his bike ride he drinks milliliters of the water How much waters le

Goryan [66]

1 litre = 1000 millilitres so 1200-200= 1000 millilitres left or 1 litre left

3 0

4 years ago

A circle has the equation x^2−8y−6x+y^2=4.

mylen [45]

Hello here is a solution :
x²-8y-6x+y²=4....(1)
A)
x²-6x = x²-2(3)x+9-9
= x²-2(3)x+3²-9
x²-6x =(x-3)² -9
B)
y²-8y = y²-2(4)y +4²-16
y²-8y = (y-4)²-16
C)
in (1) :

(x-3)² -9 +(y-4)²-16 = 4
(x-3)² +(y-4)² = 29 ...is the standard form of the equation

 Select answer 1 :
A: 3
B: 4
C: (x−3)2+(y−4)2=29

8 0

3 years ago