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3 years ago

Solve the system of equations by substitution y=3x+5. y=5x7

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

Step-by-step explanation:

3x+5=5x+7

-2x =2

x=-1

y=2

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List all subsets of ta, b, c, d, e) containing a but not containing b

fomenos

Answer:

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

Step-by-step explanation:

We are given the set (a,b,c,d,e).

Total number of subsets of the above set are $2^5$ = 32

Subsets:

(a,b,c,d,e)

(a), (b), (c), (d), (e)

(a,b), (a,c), (a,d), (a,e), (b,c), (b,d), (b,e), (c,d), (c,e), (d,e)

(a,b,c), (a,b,d), (a,b,e), (a,c,d), (a,c,e), (a,d,e), ( b,c,d), (b,c,e), (b,d,e), (c,d,e)

(a,b,c,d), (a,b,c,e), (a,b,d,e), (a,c,d,e), (b,c,d,e)

Subset having a but not b :

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

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4 years ago

What are the missing angles? What is the relationship between the measures of complementary angles?

DENIUS [597]

Answer:

Step-by-step explanation:

When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other. Suppose if one angle is x then the other angle will be 90 o – x

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can you mark me brilll

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3 years ago

Andrew purchased a living room set for $2,276 using an 18-month deferred payment plan with an interest rate of 23.49%. What is t

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The answer is c)3,123.34

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3 years ago

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xey + yez + ze

lara31 [8.8K]

The directional derivative of $f$ at the point $\vec p$ in the direction of $\vec v$ is

$D_{\vec v}f(\vec p)=\nabla f(\vec p)\cdot\dfrac{\vec v}{\|\vec v\|}$

We have

$f(x,y,z)=xe^y+ye^z+ze^x\implies\nabla f(x,y,z)=\langle e^y+ze^x,xe^y+e^z,ye^z+e^x\rangle$

With $\vec p=\langle0,0,0\rangle$ ,

$\nabla f(0,0,0)=\langle1,1,1\rangle$

$\vec v$ has magnitude

$\|\vec v\|=\sqrt{5^2+2^2+(-2)^2}=\sqrt{33}$

and so the directional derivative is

$\langle1,1,1\rangle\cdot\dfrac{\langle5,2,-2\rangle}{\sqrt{33}}=\boxed{\dfrac5{\sqrt{33}}}$

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3 years ago

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Montano1993 [528]

Answer:

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Step-by-step: The surface area is the number of square units that fit into the square. As shown in the picture, the surface area of this square is 16 total square units. With a rectangle and square we can also get the surface area by multiplying width (W) x length (L).tep explanation:

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3 years ago