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OLga [1]
3 years ago
6

7n-(4n-3) simply to create a equivalent expression?

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

3n + 3

Step-by-step explanation:

Step 1:

7n - 4n + 3

Answer:

3n + 3

Hope This Helps :)

You might be interested in
If M is the midpoint of segment AB and AM=9x-5 and MB=15-x, what is the length of AB?
kkurt [141]

Answer:

<h2>AB = 8x+10</h2>

Step-by-step explanation:

If M is the midpoint of the segment AB, then <em>AM+MB = AB</em>. Given the following parameters;

AM=9x-5 and MB=15-x

Required parameter

segemnt AB

Substituting the given parameters into the given formula to get AB we will have;

AB = AM+MB

AB = 9x-5+15-x

collect like terms

AB = 9x-x-5+15

AB = 8x+10

<em>Hence the length of segment AB is 8x+10</em>

6 0
3 years ago
Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.
Nataly_w [17]

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

7 0
2 years ago
Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
PLEASE HELP !?!????!?
miss Akunina [59]

Answer: Supplementary Angles

Step-by-step explanation:

Supplementary angles are a pair of angles whose sum is 180°. 45° and 135° add up to 180°. Therefore, the answer is supplementary angles.

4 0
2 years ago
If possible, find AB. &amp; State the dimension of the result.
Nikitich [7]

Answer:

Step-by-step explanation:

A=\begin{bmatrix}0 &0  &5 \\ 0 &0 &-3 \\ 0 &0  &3 \end{bmatrix}

B=\begin{bmatrix}8 &-12  &5 \\ 7 &19 &5 \\ 0 &0  &0 \end{bmatrix}

A.B = A × B

A.B=\begin{bmatrix}0 &0  &0 \\ 0 &0  &0 \\ 0 &0  &0 \end{bmatrix}

Dimension of the resultant matrix is (3 × 3)

3 0
2 years ago
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