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Pachacha [2.7K]
3 years ago
5

Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\  \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1
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If mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", find each measure.
NikAS [45]

Step-by-step explanation:

Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.

To get x, we will substitute the given angles into the formula as shown;

(10x – 18) =  (3x + 14)+ (5x - 2)

10x-18 = 3x+5x+14-2

10x-18 = 8x+12

10x-8x = 12+18

2x = 30

x = 30/2

x = 15

Find the measure of each angle

For mCDF:

mCDF = 3x + 14

mCDF = 3(15)+ 14

mCDF = 45+14

mCDF = 59°

For mFDE:

mFDE = (5x - 2)

mFDE = 5(15) - 2

mFDE = 75-2

mFDE = 73°

For mCDE:

mCDE = (10x – 18)

mCDE = 10(15) - 18

mCDE = 150-18

mCDE = 132°

4 0
3 years ago
Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon i
solong [7]

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

4 0
3 years ago
True or False<br> 1. 25190 2510 = 251000
Elenna [48]

Answer:

False

Step-by-step explanation:

That is not true

4 0
3 years ago
Read 2 more answers
Question 13
Mrac [35]

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

5 0
2 years ago
Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much dat
Goryan [66]

Answer:

She has 400 megabytes left

Step-by-step explanation:

3 0
3 years ago
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