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2 years ago

Simplify and evaluate without a calculator. 3(m-4)-n(m-4) if m=5 and n=3

Mathematics

2 answers:

il63 [147K]2 years ago

8 0

Answer:

Step-by-step explanation:

If m = 5 and n = 3, then

3*(m-4)-n*(m-4) becomes 3*(5 - 4) - 3(5 - 4), or 3(1) - 3(1) = 0

Another way to do this would be to factor out m - 4 first. We get:

(m - 4)(3 - n), and substituting the given values for m and n results in

5(3 - 3) = 0 (as before).

Katarina [22]2 years ago

6 0

Answer:

Step-by-step explanation:

3*(m-4)-n*(m-4) m = 5, n = 3

3*(5-4)-3*(5-4)

3*(1)-3*(1)

3-3

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A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s

mojhsa [17]

Answer:

(a) 25.08 m

(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, $\theta=25$ °

Initial speed is, $u=15\ m/s$

Time of flight is, $t=3.0\ s$

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

$u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s$

Vertical displacement of the brick is equal to the height of the building.

So, vertical displacement = $-h$ (Negative sign implies downward motion)

Acceleration is due to gravity in the downward direction. So,

Acceleration is, $g=-9.8\ m/s^2$

Now, using the following equation of motion;

$-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m$

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, $v_y=0\ m/s$

Now, using the following equation of motion, we have:

$v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m$

Therefore, the maximum height of the brick is 2.05 m.

5 0

3 years ago

What is the value of "c" in the following quadratic? (Make sure the equation is in

garri49 [273]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}$

<em>What is the value of c in the quadratic </em> $\large\text{$x^2+28=-11x$}$ ?

$\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding $\large\textit{11x}$ on both sides:-

$\large\text{$x^2+28-11x=0$}$

We can switch the order of 28 and -11x:-

$\large\text{$x^2-11x+28=0$}$

Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

$\large\text{$ax^2+bx+c=0$}$

Now we can just write our <u>quadratic</u> here:-

$\large\text{$x^2-11x+28=0$}$

Now, can you see what the value of "c" is?

An easy way to <u>remember</u> "c" in quadratics is:-

The "c" in quadratics is the constant.

Henceforth, we conclude that the value of "c" in the given quadratic is:-

$\Large\textbf{28}\Large\checkmark$

<h3> Good luck with your studies.</h3>

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

5 0

2 years ago

A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times a

LenaWriter [7]

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

3 0

3 years ago

Please help me number 1

xenn [34]

Answer:

47 degrees

Step-by-step explanation:

You have a straight line, which has an angle measure of 180 degrees.

180-133=47

Your answer can come from the line with 133 on it because the two lines are parallel with a transversal line. Because the two lines are parallel, they have the same interior angle measurements.

4 0

3 years ago

What information does the diagram add to help you

diamong [38]

Answer:

A The engine is powered by steam, which is created when wood burned in the furnace heats water in the boiler turns it to steam

Step-by-step explanation:

I took the quiz

7 0

3 years ago

Read 2 more answers

Simplify and evaluate without a calculator. 3*(m-4)-n*(m-4) if m=5 and n=3

Simplify and evaluate without a calculator. 3(m-4)-n(m-4) if m=5 and n=3