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Vesna [10]
3 years ago
6

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

pt form
Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

asap

Step-by-step explanation:

i will do it asap ...hejei

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Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

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2 years ago
Evaluate 4p+q/p when p= -2 and q= -3 <br><br>a) -11/2<br>b) 9/2 <br>c) -9/2<br>d) 11/2​
nadya68 [22]

Answer:

D

Step-by-step explanation:

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Answer:

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