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neonofarm [45]
3 years ago
6

Solve the system by graphing. y = 1/2 x + 3/2 y = 2x -3

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Step-by-step explanation:

y=0.5x+1.5

y=2x-3

y=1.5

x=-3

for the second line

y=-3

x=3/2

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear
AlladinOne [14]

Answer:

x=\frac{83}{50}

Step-by-step explanation:

we know that

If the three points are collinear

then

m_A_B=m_A_C

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope AB

we have

A(1,\frac{2}{3}),B(x,-\frac{4}{5})

substitute in the formula

m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}

m_A_B=\frac{\frac{-12-10}{15}}{x-1}

m_A_B=-\frac{22}{15(x-1)}

step 2

Find the slope AC

we have

A(1,\frac{2}{3}),C(-\frac{1}{2},4)

substitute in the formula

m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}

m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}

m_A_C=-\frac{20}{9}

step 3

Equate the slopes

m_A_B=m_A_C

-\frac{22}{15(x-1)}=-\frac{20}{9}

solve for x

15(x-1)20=22(9)

300x-300=198

300x=198+300

300x=498

x=\frac{498}{300}

simplify

x=\frac{83}{50}

8 0
4 years ago
What is the FDP of 0.3
exis [7]

Answer:

  0.3 = 3/10 = 30%

Step-by-step explanation:

The reading of the number as "three tenths" tells you how to write the fraction:

  0.3 = 3/10

You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...

  0.3 = 0.30 = 30/100 = 30%

0.3 = 3/10 = 30%

8 0
3 years ago
Solve 5(x – 4) + 3x – 9x + 7
LenaWriter [7]

Answer:

Well the Answer is <u>- x - 13 </u> Hope this helps :)

Step-by-step explanation:


6 0
4 years ago
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props,
SVETLANKA909090 [29]

Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

∴ The percentage of the props of the total budget = 45%

→ That means 45% of the total budget = 243

∵ 45% × total budget = 243

→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

∴ 0.45 × total budget = 243

→ Divide both sides by 0.45

∴ The total budget = 540

∴ The total budget for their student film was $540

4 0
3 years ago
Read 2 more answers
Check For Understanding
adelina 88 [10]

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

8 0
3 years ago
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