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Paraphin [41]
3 years ago
5

Systems of equations. Y= -3x+1 Y=x-3 How do i start it

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0
You can set both equations together

y = -3x + 1

and y = x - 3

we can replace the y of one equation with the other side 

-3x+1 = x-3

add 3x on both sides

1 = x + 3x -3
add 3 on both sides

1 + 3 = x+ 3x

simplify

4 = 4x

divide by 4 on both sides

x = 1

y = x - 3
y = 1 - 3
y = 2

So the solution is: (1,2)
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How to find the answers ?
maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

or, x = 48

Answers: a)48°

b)42°

c)72°

3 0
2 years ago
I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

650/2=325

6 0
2 years ago
500 people took part in a marathon. 35% of them were children and the rest
sineoko [7]

Answer:

325

Step-by-step explanation:

500×.35=175

500-175=325

3 0
2 years ago
Rationalize the denominator:<br><br> Please give step by step solution
MrMuchimi

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i

5 0
3 years ago
Sin x =.3 what is the cos x =?
nalin [4]

Answer:

If you're asking what cosine 3 is it's 0.9999986292247

Step-by-step explanation:

I don't really understand the question

5 0
3 years ago
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