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AleksandrR [38]
2 years ago
11

Determine and state an equation of the line perpendicular to the line 8x + 6y = 15 and passing through the point (3,-4)

Mathematics
1 answer:
LekaFEV [45]2 years ago
4 0

Answer:

4y - 3x = -25

Step-by-step explanation:

The equation of a line in point-slope form is expressed as

y - y0 = m(x - x0)

(x0, y0) is the point

m is the slope

Given

(x0, y0) = (3, -4)

Also given the equation;

8x + 6y = 15

Rewrite in standard form;

6y = -8x+15

y = -8/6 x + 15/6

y = -4/3 x + 5/2

Slope m = -4/3

Since the required line is perpendicular to the given line =,

Slope = -1/(-4/3) = 3/4

Substitute into the formula;

y - (-4) = 3/4(x-3)

y + 4 = 3/4(x-3)

4(y+4) = 3(x-3)

4y + 16 = 3x - 9

4y - 3x = -9-16

4y - 3x = -25

This gives the required equation

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When the square of a certain number is diminished by 9 times the number the result is 36?
ArbitrLikvidat [17]
X²-9x=36
minus 36 both sides
x²-9x-36=0
what 2 numbers multiply to -36 and add to -9
-12 and 3
(x-12)(x+3)=0
set to zero
x-12=0
x=12

x+3=0
x=-3



the number is either -3 or 12
3 0
3 years ago
Which numbers are factors of 29? Select all that apply.<br><br> 5<br> 9<br> 1<br> 21
Tamiku [17]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Factors are values that the number can be divided by to produce an integer (whole number)

Simply test them out:

29/5 = 5.8

29/9 = 3.2

29/1 = 29

29/21 = 1.38....

As per the statement above, the only factor of 29 from this line is 1.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

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4 0
3 years ago
Every day, Katie looks for seashells on the beach. She has 282828 shells in her collection. Katie finds 121212 more shells each
Hoochie [10]

Katie won't have more than  100 shells until the 7th day

8 0
3 years ago
Find the difference between ( x+ 5) and (2x+3)
Lynna [10]
The first one = 5 and the second one = -6
hope this helps
4 0
3 years ago
NEED HELP LIKE NOW 15 points if answered!!!!!!!<br> how do you work it out
goblinko [34]

Remark

You have to stare at this for a moment before you catch on. When you fold the arc into a circle, 8pi becomes the circumference of the base circle.

Formula

C = 2*pi*r

C = 8pi

Solution

8pi = 2pi * r    Divide both sides by 2pi

8pi / 2 pi = r

4 = r                           Answer

4 0
3 years ago
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