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3 years ago

(4y + 6) + (5n + 9) = ??? Simplify your answer

Mathematics

2 answers:

OlgaM077 [116]3 years ago

6 0

(4y + 6) + (5n + 9) = ?
4y + 6 + 5n + 9
5n + 4y + 15

elena55 [62]3 years ago

4 0

Answer:

$5n+4y+15$

Step-by-step explanation:

Eliminate redundant parentheses:

$4y+6+5n+9$

Add the numbers:

$4y+15+5n$

Rearrange terms:

$5n+4y+15$

Therefore, $5n+4y+15$ is the answer.

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Marissa wrote her bike to the park and back up halfway to the park she stopped at the library she was one 310 miles from the lib

erastovalidia [21]

Answer:

5 1/5 miles

Step-by-step explanation:

Given that :

Library is located halfway between park and home ;

Distance between library and park = 1 3/10 miles

Hence, total distance between park and home :

1 3/10 + 1 3/10 = 2 6/10

The distance driven :

Home to park ; park back home

2 6/10 + 2 6/10 = 4 12/10

4 + 12/10 = 4 + 1 2/10

= 5 2/10

= 5 1/5 miles

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2 years ago

What is the smallest power of 10 that exceeds this number 235,452?

taurus [48]

${10}^{6}$
10 to the power of 6 equals 1,000,000.

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3 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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2 years ago

A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of th

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Question 2. Triangle

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3 years ago

Read 2 more answers

For the basic function f(x)=x, what conclusions can you make about f(x) and f(x)-5? Select all that apply.

babunello [35]

Answer:The ansewers are c and d.

Step-by-step explanation:

The function f(x)=x is really y=x.

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2 years ago