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stepan [7]
2 years ago
12

Solve for x √4x-3=5 check extraneous or not​

Mathematics
1 answer:
dexar [7]2 years ago
6 0

Answer:

ok i ned time

Step-by-step explanation:

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Can someone please help me solve for x and then find the measurments of ∠B asap!
Tanya [424]
Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write

8x + 78 = 2x + 114 ,

and it should all be smooth sailing for you from that point.
7 0
3 years ago
Read 2 more answers
A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e
mojhsa [17]

Answer:

V = 4/3 x pi x r^3

972 x pi= 4/3 x pi x r^3

729 = r^3

The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

Step-by-step explanation:

7 0
3 years ago
Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
So hmmm  check the picture below

so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both

in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"

because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}
(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
h=3\\
k=3\\
p=-2
\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)
\\\\\\
-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
3 years ago
2(n+2)=10 solve for n
astra-53 [7]

Answer :

<em>\:  \:  \:  \:  \:  \: 2(n + 2) = 10 \\  =  > 2n + 4 = 10 \\  =  > 2n = 10 - 4 \\  =  > 2n = 6 \\  =  > n =  \frac{6}{2}  \\   = > n = 3</em>

5 0
3 years ago
an initial deposit of $200 is made into an account that pays 4.2% annual interest. What is a model to represent the balance in t
Sholpan [36]
You would use the equation y = A(1+r)^t 

A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x 

Plug them in and you get the model: y = 200(1+0.042)^x 

or just simplify the parentheses to (1.042)
5 0
3 years ago
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