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3 years ago

Do the following lengths form a right triangle?

Mathematics

1 answer:

Solnce55 [7]3 years ago

6 0

Answer:

Yes, they do

Step-by-step explanation:

Because

6+8=14>9

6+9=15>8

8+9=17>6

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Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. −x − 10 > 14 + 2x −3x − 10 > 14 ____

Svet_ta [14]

Answer: $-3x> 24$

Step-by-step explanation:

Given the inequality $-x - 10 > 14 + 2x$ , we need to solve for "x".

We can subtract $-2x$ to both sides:

$-2x-x - 10 > 14 + 2x-2x$

$-3x- 10 > 14$ (This step is shown in the exercise)

Now, we can add 10 to both sides:

$-3x- 10 +10> 14+10$

$-3x> 24$ (This step is not shown in the exercise)

And finally, divide both sides by -3:

$\frac{-3x}{-3}>\frac{24}{-3}$

$x< -8$ (This is shown in the exercise)

Therefore, the missing step is:

$-3x> 24$

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3 years ago

4^(4x-1)=32 <br><br> How do I solve this problem? Do I do 4 to the fourth power first?

yKpoI14uk [10]

Answer:

$\large\boxed{x=\dfrac{7}{8}}$

Step-by-step explanation:

$4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}$

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4 years ago

Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).

Levart [38]

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

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3 years ago

Do the following lengths form a right triangle? ​

Do the following lengths form a right triangle?