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mars1129 [50]
3 years ago
10

If a line passes through the point (4,-3) and has a slope of 2/3 the point slope equation is

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

y + 3 = 2/3(x - 4)

Step-by-step explanation:

Point slope form equation

y - y1 = m( x - x1)

( x1 , y1) - any point on the line

m - slope of the line

Given

Slope - 2/3

Point - ( 4 , -3)

x1 = 4

y1 = -3

Substitute the values into the equation

y - y1 = m( x - x1)

y - (-3) = 2/3( x - 4)

y + 3 = 2/3(x - 4)

The equation of the line in point slope form is

y + 3 = 2/3(x - 4)

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SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

The given equation is:

1/5 x - 2/3 y = 30

The value of y is 15

Put the value of y in the given equation:

1/5 x - 2/3(15) = 30

1/5 x- 10 = 30

Take the L.C.M of the denominator

x-50/5 = 30

Move the denominator to the R.H.S

x-50 = 30*5

x-50 = 150

Combine the like terms

x= 150+50

x = 200

The value of x is 200...

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3 years ago
Read 2 more answers
The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
kodGreya [7K]

\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

a=140-\frac{51}{2}=\boxed{\frac{229}{2}}

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3 years ago
HELP LOL! IS THIS PROPORTIONAL EASY POINTS
goblinko [34]

Answer:

nonproportional

Step-by-step explanation:

nonproportional is what i think

4 0
3 years ago
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What is 5 multiplied by 3 1/3
maksim [4K]

Answer:

16 2/3 or 16.66 repeating

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3 years ago
Please help me, will mark brainliest for correct answers.....
Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

8 0
3 years ago
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