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Snowcat [4.5K]
3 years ago
14

What’s the equation of a line that passes through (-9,10) and y=3/2x - 3/2

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

y = 3x/2 + 23 1/2

Or

y = 3x/2 + 47/2

Step-by-step explanation:

Find the slope

y = 3/2x - 3/2

Equation of a line

y = mx + c

m = 3/2

using a point slope form equation

Substitute the point into the equation

( -9 , 10)

y - y1 = m( x - x1)

x1 = -9

y1 = 10

y - 10 = 3/2( x - (-9)

y - 10 = 3/2( x + 9)

Open the bracket

y - 10 = (3x + 27)/2

y = ( 3x + 27)/2 + 10

LCM = 2

y = ( 3x + 27 + 20)/2

y = ( 3x + 47)/2

Separate to get the value of slope and intercept

y = 3x/2 + 47/2

y = 3x/2 + 23 1/2

The equation of the line is

y = 3x/2 + 23 1/2

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What is the measure of the base in the triangle below?
lesantik [10]

Step-by-step explanation:

AC+CB+BA=180

2x+23+3x-8+4x+1=180

9x+16=180

9x=180-16

9x=164

x=164/9

x=18.2

5 0
2 years ago
Use the figure to the right to find the missing lengths of the triangle.
pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = \frac{y}{7}

tan 60° = \frac{y}{7} or (tan 60°) · 7 = y

tan 60° = \frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}

√3 · 7 = y

7√3 cm = y


sin B = \frac{7}{x}

sin 30° = \frac{7}{x} or x= \frac{7}{sin 30}

sin 30° = \frac{\frac{1}{2} }{1} = \frac{1}{2}

x = \frac{7}{\frac{1}{2} } = 14

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8 0
3 years ago
Which system of equations does this graph represent?
jeyben [28]

Answer:

1

Step-by-step explanation:

First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,

where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.

Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.

7 0
2 years ago
Please help ..............
kherson [118]
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3 0
3 years ago
Read 2 more answers
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7 0
2 years ago
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