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natali 33 [55]
3 years ago
9

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

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Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of
just olya [345]

Answer:5x+3y+1=0

Step-by-step explanation:

Given

The linear equation is 5x+3y-9=0

The other linear equation parallel to the given line can be represented by

5x+3y+c=0

Here, c can take any value . for example c=1, line becomes

\Rightarrow 5x+3y+1=0

8 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
3 years ago
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less th
Elden [556K]

Answer:

4

Step-by-step explanation:

25/100 x 80/1 = 20/1

80 - 20 = 60

30/100 x 80/1 = 24/1

80 - 24 = 56

60-56=4

6 0
3 years ago
Two angles of a triangle measure 57 and 46. What is the measure of the largest exterior angle of the triangle?
irina [24]

Answer:

A. 103°

Step-by-step explanation:

57° + 46° =103°

This shows that the third angle in the triangle is 180°-103°=77°

Therefore the largest exterior angle is 180°-77°=103°

5 0
3 years ago
Edith’s age is 1/4 of Ronald’s age. In how many years will Edith’s age be 1/3 of Ronald’s age if Edith is 20 years old?
ruslelena [56]

Answer:

10

Step-by-step explanation:

x = Edith's age = 20 years

y = Ronald's age

x = 20 = y/4

y = 20×4 = 80 years

in z years we have

(x + z) = (y + z)/3

(20 + z) = (80 + z)/3

3(20 + z) = 80 + z

60 + 3z = 80 + z

60 + 2z = 80

2z = 20

z = 10

in 10 years Edith's age will be 1/3 of Ronald's age.

then Edith will be 30, and Ronald will be 90.

30 = 90/3

correct.

7 0
2 years ago
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