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1 year ago

Use the distributive property to rewrite this expression. 4(y + 6)

Mathematics

2 answers:

inn [45]1 year ago

8 0

Answer:

4y + 24

Step-by-step explanation:

4(y + 6)
(4 * y) + (4 * 6)
(4y) + (24)
4y + 24

Stolb23 [73]1 year ago

6 0

Answer:

4y+24, when we multiply 4(y+6) using the distributive property we get 4y+24

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Three forces act on a hook. Determine the magnitude of the resultant of the force.

Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

$\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y$

$\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y$

$\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y$

The resultant force is the sum of these vectors,

$\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y$

and has magnitude

$|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N$

The closest answer is D.

5 0

2 years ago

On a number line 7.29 and -7.29 are the same point. true or false

zlopas [31]

Answer should be False

8 0

2 years ago

For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine

tankabanditka [31]

Using function concepts, it is found that the correct option is given by:

a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.

<h3>What is the least degree possible of a polynomial?</h3>

Supposing a polynomial with n turning points, the least possible degree is of n + 1.

In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

7 0

1 year ago

It takes Juwan exactly 35 minutes by car to get to his grandmother's the nearest parking area is 4 minute walk from her apartmen

liq [111]

It takes him 35 + 4 = 39 total minutes one way, so it would take him 39 x 2 = 78 minutes for 1 round trip.

convert 5 hours and 12 minutes into minutes: 1 hour = 60 minutes.

5 hours x 60 minutes = 300 minutes.

300 + 12 = 312 total minutes for the week.

Divide total minutes by minutes per round trip:

312 / 78 = 4 round trips total

4 0

2 years ago

Read 2 more answers

Given the piecewise function shown below, select all of the statments that are true.

timurjin [86]

The <span>given the piecewise function is :
</span>
$f(x) = \[ \begin{cases} 
 2x & x \ \textless \ 1 \\
 5 & x=1 \\
 x^2 & x\ \textgreater \ 1 
 \end{cases}
\]$

To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25

To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4

To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4

To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
================================
So, the statements which are true:<span>
$\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}$ </span><span></span>

8 0

3 years ago