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2 years ago

Which of the following statements best summarizes the SSS Similarity Postulate?

Mathematics

1 answer:

Anarel [89]2 years ago

7 0

C. SSS is when all three sides are congruent

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Can somebody step by step explain how to solve this problem??<br><br> (3x^2y)(-7xy^3)

charle [14.2K]

Answer:

$\boxed{\bold{-21x^3y^4}}$

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

$\bold{-3x^2y\cdot \:7xy^3}$

[ Step Two ] Multiply: $\bold{3\cdot \:7=21}$

$\bold{-21x^2xy^3y}$

[ Step Three ] Apply Exponent Rule $\bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}$

$\bold{-21x^3y^3y}$

[ Step Four ] Apply Exponent Rule: $\bold{y^3y=\:y^{1+3}=\:y^4}$

$\bold{-21x^3y^4}$

[ $\boxed{\bold{Final \ Answer}}$ ]

➤ $\bold{-21x^3y^4}$

$\boxed{\bold{Mordancy}}$

5 0

2 years ago

Read 2 more answers

Explain how you can use multiplication to show that two-fourths and four-eighths are equivalent.

ANTONII [103]

Answer:

2/4 and 4/8 are equivalent because you can use the butterfly method of multiplication. Meaning you multiply the numerator by the other fractions denominator and vis-versa.

Step-by-step explanation:

2 x 8 = 16

4 x 4 = 16

3 0

3 years ago

An art teacher had 2/3 gallon of paint to pour into containers if he poured 1/8

exis [7]

To find your answer do 2/3 divided by 1/8 = 5 1/3 containers.

6 0

3 years ago

Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0

3 years ago

Plzzzzzzzzzzzzzzzzz help quick

Sergeeva-Olga [200]

Answer:

y=-2x-7 D

Step-by-step explanation:

3 0

3 years ago