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Anarel [89]
3 years ago
7

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

4(3x+17)

Step-by-step explanation:

move the 96 to the other side and make it negative. then combine similar terms, and finally factor out 4

12x+164=96

12x+164-96

12x+68

4(3x+17)

y=4(3x+17)

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Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y
netineya [11]

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

5 0
3 years ago
Find mZ3 if mZ5 = 145º and mZ4 = 45°
trapecia [35]

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  ∠5 = ∠3 +∠4

  145° = ∠3 +45° . . . . fill in the given values

  100° = ∠3 . . . . . . subtract 45° from both sides

7 0
2 years ago
You are dealt one card from a satndard 52-card deck. Find the probability of being dealt an ace or a 7
ruslelena [56]

Answer:

2/13    or  15.38%

Step-by-step explanation:

Number of Aces in a deck = 4

Number of 7s in a deck = 4

Number of cards in a deck = 52

Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards                                          8 cards / 52 cards

This simplifies to                           2/13    or  15.38%

3 0
2 years ago
Need help on C and D, please help.
Mekhanik [1.2K]
C. 1/5,2/5,3/5,4/5 and 1 since all will be on the same mark as 2/10,4/10,6/10,8/10 and 10/10.
d. there would be 10/10 for every  0 to 2.
6 0
2 years ago
12w-24=12 solve for 12​
USPshnik [31]

Answer:

3

Step-by-step explanation:

6 0
2 years ago
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