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Juli2301 [7.4K]
3 years ago
9

Write the equation of a line with the slope of -3 and through the point (2,-2).

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

Answer:

  y +2 = -3(x -2)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for this:

  y -k = m(x -h)   . . .    for a line of slope m through point (h, k)

__

  y +2 = -3(x -2) . . . . fill in the given values. Note that -(-2) = +2

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Mitchell invested part of his $34,000 advance at 2% annual simple interest and the rest at 9% annual simple interest. If his tot
slava [35]
Let x = Amount invested at 2%
      y = Amount invested at 9%

x + y = 34000            ×(-0.02)→ -0.02x - 0.02y = -680
0.02x + 0.09y = 2570             →  0.02x + 0.09y = 2570
                      add the equations               0.07y = 1890
           divide by 0.07 both sides                      y = 27000
x = 34000 - 27000 = 7000
ANSWER:
Invested at 2%: $7000
Invested at 9%: $27000
8 0
4 years ago
A salt march harvest mouse ran a 360 cm straight course race in 9 seconds. How fast did it learn
Makovka662 [10]

Answer: 40c m/s  

Solution:  

Mouse ran 360 cm straight course race in 9 seconds.  

We need to find the rate or speed of mouse  

We know the speed formula is distance covered by given time.  

Speed=\frac{Distance}{Time}  

Where,  

Distance = 360 cm  

Time = 9 seconds  

\therefore   speed =\frac{360}{9}

Speed=40 cm/s  

Mouse ran with speed 40 cm/s


6 0
3 years ago
Read 2 more answers
Valerie mixes 5 parts liquid fertilizer for every 9 parts water to make fertilizer for her garden. How many quarts of water and
OverLord2011 [107]

Answer:

7.14 Quarts of Liquid Fertilizer and

12.86 Quarts of Water

Step-by-step explanation:

Parts of Liquid Fertilizer Needed=5

Parts of Water Needed=9

Total=9+5=14

Therefore:

Proportion of Liquid Fertilizer Needed=5/14

Proportion of Water Needed=9/14

If she wants to make 20 Quarts of solution

Quarts of Liquid Fertilizer Needed=(5/14)*20=7.14 Quarts

Quarts of Water Needed=(9/14)*20=12.86 Quarts

6 0
3 years ago
What is the degree of x6 + 4x - 3?
Pie

Answer:

Degree 6

Step-by-step explanation:

Its the highest exponent.

7 0
4 years ago
Read 2 more answers
What’s the approximate distance?
Lunna [17]
Let m be the slope of the parallel lines, each having a slope of m
Then the distance between the parallel lines 
= (difference in y-intercept)/sqrt(1+m^2)

For the given problem,
difference in y-intercept = 4-2=2
slope = m = -1
Distance between lines = 2/sqrt(1+(-1)^2) =2/sqrt(2)=sqrt(2)=1.41421

Answer: distance between the parallel lines = 1.41 (to the nearest hundredth)
8 0
4 years ago
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