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Nitella [24]
3 years ago
13

Give the slope intercept form of the equation of the line that is perpendicular to 5x-3y=8

Mathematics
1 answer:
Stels [109]3 years ago
5 0
Hello : 
let the slope : a    and ; b the slope of the line : 5x - 3y = 8
<span>the line that is perpendicular to 5x-3y=8  so : a×b = - 1 
but : 
5x - 3y = 8...      y = (5/3)x - 8/3  when : b = 5/3
</span><span> the slope intercept form of the equation of the line that is perpendicular
 to 5x-3y=8 is : y = (5/3)x +c </span>
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A. Renard let’s t= the number of taffy bags and c= the number of Carmel bags. Help him write two equations to represent the info
vlabodo [156]

Answer:

  • 20 taffy bags and 15 caramel candy bags

Step-by-step explanation:

<u>Given:</u>

  • t = the number of taffy bags
  • c = the number of caramel bags
  • Number of taffy's are 5 more than caramel bags
  • Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
  • Total weight is 400 ounces

<u>Equations:</u>

  • t = c + 5             (the difference in number of bags)
  • 8t + 16c = 400  (the weight of the bags)

<u>Simplify the second equation by dividing all terms by 8:</u>

  • t + 2c = 50

<u>Substitute t and solve for c:</u>

  • c + 5 + 2c = 50
  • 3c = 50 - 5
  • 3c = 45
  • c = 45/3
  • c = 15

<u>Find the value of t:</u>

  • t = 15 + 5 = 20

<u>Answer:</u>

  • 20 taffy bags and 15 caramel candy bags

7 0
3 years ago
Name the greater number 3.579, 3.564
kolezko [41]
3.579 is greater.
It is relatively closer to 4 than the other number. 3 and 3 are equal, 5 and 5 are equal, but 7 is greater than 6. Hope this helps :)
6 0
3 years ago
A lamppost is 12 feet high and casts a
AysviL [449]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Please help! .........
stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

1)

y=x^2-6x+9

y+x=5 which can be rearranged as y=5-x.

Substituting this lone y into the first equation, you get:

5-x=x^2-6x+9

Move everything to one side:

x^2-5x+4=0

Factor:

(x-4)(x-1)=0

x=1, 4

y=4, 1

2)

y-30=12x which can be rearranged as y=12x+30.

y=x^2+11x-12

Let's use elimination this time and subtract the first equation from the second:

0=x^2-x-42

Factor:

(x-7)(x+6)=0

x=-6, 7

y= -42, 114

3)

y=x^2-2x+6

y=4x+10

Let's set the two equations equal to each other through substitution:

x^2-2x-6=4x+10

Move everything to one side:

x^2-6x-16=0

Factor:

(x-8)(x+2)=0

x=-2, 8

y= 2, 42

Hope this helps!

6 0
3 years ago
Product of (5 + a) and ( -5 + a ) is ......​
lorasvet [3.4K]

Answer:

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Step-by-step explanation:

(5 + a)(-5 + a)

= -25 + 5a - 5a + a^2

= a^2 - 25.

4 0
3 years ago
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