Answer:
p = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
24p = 384 ( divide both sides by 24 )
p = 16
Answer:
I'll tell u later
Step-by-step explanation:
Small number =x
Large number =11 plus x
Now from the question,

Therefore 2x plus 11= 57
2x= 57-11=46
X=46÷2=23
<h2>
Answer:</h2>
The quadratic function are:
option: A A) y(y + 4) - y = 6
Option: C C.) 4b(b) = 0
<h2>
Step-by-step explanation:</h2>
We know that the general equation of a quadratic equation in terms of a variable x is given by:

A)
y(y + 4) - y = 6
On simplifying the terms we have:

Hence, option: A is correct.
B)
(3x + 2) + (6x - 1) = 0

Hence, it is a linear equation.
Hence, option: B is incorrect.
C)
4b(b) = 0
it could also be written as:

Hence, it is a quadratic equation.
Hence, option: C is correct.
D)
3a - 7 = 2(7a - 3)

which is again a linear equation.
Hence, option: D is incorrect.
(a) The radius of the circle is the distance the wave travels since it first formed, so if <em>g(t)</em> is the radius of the circle at time <em>t</em>, then it changes at a rate according to
d<em>g</em>/d<em>t</em> = 60 cm/s
Integrate both sides with respect to <em>t</em> to solve for <em>g</em> :
∫ d<em>g</em>/d<em>t</em> d<em>t</em> = ∫ (60 cm/s) d<em>t</em>
<em>g(t)</em> = (60 cm/s) <em>t</em> + <em>C</em>
but <em>C</em> = 0 since the radius at <em>t</em> = 0 must be 0.
<em>g(t)</em> = (60 cm/s) <em>t</em>
<em />
(b) The area of any circle with radius <em>r</em> is <em>πr</em> ². So
<em>f(r)</em> = <em>πr</em> ²
(c) The composition of <em>f</em> with <em>g</em> represents the area of water encircled by the wave at time <em>t</em> :
<em>(f</em> o <em>g)(t)</em> = <em>f(g(t))</em> = <em>π</em> <em>g(t) </em>²
Answer:
Huh?
Step-by-step explanation: