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3 years ago

The dashed triangle is a dilation image of the solid triangle. What is the scale factor?

Mathematics

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Take any point from the original, like (2,2) If the new point is (1,1) then the change would be 1/2

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Find the of x in each triangle.

zhannawk [14.2K]

I pretty sure you either add or subtract to get the answer

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3 years ago

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Is √m+n = √m + √n for all values of m and n? Explain why or why not.

lukranit [14]

Step-by-step explanation:

√(m + n) = √m + √n

Square both sides:

m + n = m + 2√(mn) + n

Simplify:

0 = 2√(mn)

mn = 0

The equation is only true if either m or n (or both) is 0.

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3 years ago

Please help me! I'm stuck and really confused, thank you so much!

Kryger [21]

Answer:

(a) $5 * (2x - 1) = 10x - 5$

(b) $6 * x = x + 2x + 3x$

(d) $y(3x + 4z) = 3xy + 4yz$

(e) $z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz$

Step-by-step explanation:

Solving (a):

Given

$10x - 5$

Required

Express as a product

Express 10x as 5 * 2x

$10x - 5 = 5 * 2x - 5$

Apply distributive property

$10x - 5 = 5(2x - 1)$

$10x - 5 = 5 * (2x - 1)$

So:

$5 * (2x - 1) = 10x - 5$

Solving (b):

Given

$x + 2x + 3x$

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

$x + 2x + 3x = x + 2*x + 3*x$

Apply distributive property

$x + 2x + 3x = x(1 + 2 + 3)$

$x + 2x + 3x = x(6)$

$x + 2x + 3x = 6*x$

So:

$6 * x = x + 2x + 3x$

Solving (c):

Given

$\frac{1}{2}(x - 6)$

Required

Express as a sum/difference

Apply distributive property

$\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6$

$\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}$

$\frac{1}{2}(x - 6) = \frac{1}{2}x - 3$

Solving (d):

Given

$y(3x + 4z)$

Required

Express as a sum/difference

Apply distributive property

$y(3x + 4z) = 3x * y + 4z * y$

$y(3x + 4z) = 3xy + 4yz$

Solving (e):

Given

$2xyz - 3yz + 4xz$

Required

Express as a product

Factorize

$2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z$

Apply distributive property

$2xyz - 3yz + 4xz = z(2xy - 3y + 4x)$

So:

$z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz$

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3 years ago

Jaime bought 3/4 pound of Walnuts for $7.60 a pound. She also bought 1 1/4 pounds of almonds for $7.80 a pound. What is the tota

kipiarov [429]

(3/4 lbs.)x($7.60)+(5/4 lbs.)x($7.80)= $15.45

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3 years ago

What is the volume of a sphere if the radius is 6.3?

Neporo4naja [7]

Answer:

The answer to your question is V = 1046.60 u³

Step-by-step explanation:

Data

Volume = ?

radius = 6.3

π = 3.14

Formula

V = (4/3) πr³

Substitution

V = (4/3) (3.14)(6.3)³

Simplification

V = (1.333)(3.14)(250.047)

V = 1046.6017 u³

- Rounding to two decimal places just consider the six and zero

V = 1046.60 u³

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3 years ago

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The dashed triangle is a dilation image of the solid triangle. What is the scale factor?​

The dashed triangle is a dilation image of the solid triangle. What is the scale factor?