4 years ago

Use the distributive property to remove the parentheses. -6(2v - 4w-6)

Mathematics

1 answer:

lilavasa [31]4 years ago

7 0

Just multiple. -12v+24w+35

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In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

Neporo4naja [7]

Answer:

$BD=4\sqrt{3}\ units$

Step-by-step explanation:

we know that

$AD=12\ units$

$3CD=12$ ----> $CD=4\ units$

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{BD}{AD}=\frac{CD}{BD}$

substitute the given values

$\frac{BD}{12}=\frac{4}{BD}$

$BD^2=48$

$BD=\sqrt{48}\ units$

simplify

$BD=4\sqrt{3}\ units$

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3 years ago

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kakasveta [241]

Answer:

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gladu [14]

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4 years ago

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

telo118 [61]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Distribute 4: 4x - 8 = 3x + 1
Subtract 3x on both sides: x - 8 = 1
Add 8 to both sides: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(9 - 2) = 3(9) + 1
Parenthesis (add): 4(7) = 3(9) + 1
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3 years ago

Use the distributive property to remove the parentheses. -6(2v - 4w-6)​

Use the distributive property to remove the parentheses. -6(2v - 4w-6)