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antiseptic1488 [7]
3 years ago
15

Which equations are perpendicular to the line that passes through (2,1) and (3,4)

Mathematics
1 answer:
REY [17]3 years ago
5 0

9514 1404 393

Answer:

  • y=(-1/3)x+6
  • y=(-1/3)x+10

Step-by-step explanation:

The slope of the given line can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -1)/(3 -2) = 3/1 = 3

The slope of the perpendicular line is the opposite reciprocal of this:

  perpendicular slope = -1/m = -1/3

__

Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.

  • y=(-1/3)x+6
  • y=(-1/3)x+10

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6.) Convert 7.5 quarts to liters
Serjik [45]

Answer:

7.5 quarts is equal to 7.098 liters

Explanation:

multiply the value in quarts by the conversion factor '0.946352946'. So, 7.5 quarts = 7.5 × 0.946352946 = 7.097647095 liters.

8 0
3 years ago
Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?
yarga [219]
Point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form
4 0
3 years ago
Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
bagirrra123 [75]

Answer:

1.25.

Step-by-step explanation:

The common ratio r  is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity =  a1 / (1 - r)

=  1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

8 0
3 years ago
Read 2 more answers
ANSWER ASAP PLEASE RIGHT ANSWER GETS BRAINLIST
Natasha_Volkova [10]

Answer:

2

Step-by-step explanation:

We can set up equation for this one.

Let's say the number is X.

the sum of X and 14 can be expressed as : X+14

five times the sum of X and 14 can be expressed as 5(x+14)

and 5(X+14) = 80

5(x+14) = 80\\x+14 = 80 \div 5 = 16\\x = 16-14 = 2

The number  is 2

8 0
3 years ago
Help plz!!!!!!!!!!!!!!
olga nikolaevna [1]
2 5/16 divided 7/8

Simplify
(37/16) / (7/8)

When dividing by a fraction flip over the fraction and multiply
(37/16) * (8/7)

Multiply numerators, multiply denominators
296 / 112

Reduce the fraction
37/14

=2 9/14 <------------- answer
3 0
3 years ago
Read 2 more answers
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