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kifflom [539]
3 years ago
11

(Factorisation of Algebraic Expressions)

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Step-by-step explanation:

a.) 6x - 12

= 6( x - 2)

b.) 4ay - 24az

= 4a( y- 6z)

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In the figure below, which term best describes point T?
Bezzdna [24]
The center of this triangle is created by intersection of altitudes of the triangle, so this point T is an orthocenter.

So, the answer is A.
5 0
3 years ago
determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
LuckyWell [14K]
Hmmm the y-intercept is at -2?  what does that mean?  well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at.  Let's assume a vertical parabola, in which case the squared variable is the "x".

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
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\end{cases}
6 0
3 years ago
True/False (4z + y) is the sum of two terms
frutty [35]
True. The answer is the product of 4 and a number plus another number. 
4 0
4 years ago
Read 2 more answers
Suppose AC = 48, find the value of x. Then, find the length of AB and the length of BC.<br> 1
gladu [14]

Answer:

2x-4+3x+2=48

5x-2=48

5x=48+2

5x=50

x=10

Step-by-step explanation:

this

6 0
3 years ago
Find the inverse of the given function.<br><br> f(x) = -1/2√x + 3, x ≥ -3
inna [77]
<span>Find the inverse of the given function.

f(x) = -1/2√x + 3, x ≥ -3

I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3.  If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.

1.  Replace "f(x)" by "y:"  y </span>= -(1/2)sqrt(x) + 3
 2.  Interchange x and y:  x = -(1/2)sqrt(y) + 3
3.  Solve for y:  x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4.  Replace "y" with 

           -1
        f      (x) = sqrt(2[3-x])

Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers.  The domain here is (-infinity,3]
4 0
3 years ago
Read 2 more answers
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