All categories

3 years ago

If is parallel to , which statement must be true?

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

The answer is B because they can’t interest but perpendicular can

You might be interested in

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Tamiku [17]

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

3 0

2 years ago

The graph of the function f(x) = (x + 6)(x + 2) is shown.

ioda

Answer:

The axis of symmetry is x = -4

The function is negative over (-6, -2)

3 0

3 years ago

Read 2 more answers

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

7 0

2 years ago

Solve the following system of equations.

Lerok [7]

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

3 0

2 years ago

Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup

vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

$\dfrac{1}{(r)^{42}}$

The option B is the correct option.

Given information-

The given expression in the problem is,

$[(r)^{-7}]^5$

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

$(x^a)^b=x^{ab}$

Using the power rule of the exponents given expression can be written as,

$[(r)^{-7}]^6=(r)^{-7\times 6} 
$

$[(r)^{-7}]^6=(r)^{-42}$

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

$[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}$

Hence the expression which is equal to the given expression is,

$\dfrac{1}{(r)^{42}}$

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

8 0

2 years ago

Read 2 more answers