they are saying x = 3 so you would use the middle equation
so -4x becomes -4(3)
-4 * 3 =-12
Let x = your number.
x^2 - 21 = 4x. Subtract 4x from both sides.
x^2 - 4x - 21 = 0. Factor.
(x - 7) (x + 3) = 0. Set each term to 0.
x + 3 = 0. Subtract 3 from both sides.
x = -3. This is the negative solution.
Set the other term equal to zero.
x - 7 = 0. Add 7 to each side.
x = 7. This is the positive solution.
Answer:
2+3n
Step-by-step explanation:
This question is based on a topic called sequence and series,under which we have the arithmetic progression
The formula for arithmetic progression is a+(n-1)d
In which a is the first number,n is the nth term and d is the difference
Back to the question
a=5,n=it's not given,d=3
Using the general formula
a+(n-1)d
5+(n-1)3
Open the bracket first
5+3n-3
Collect like terms
5-3+3n
2+3n
The answer is 2+3n
And it can be solved further only if we are given the value of n...the question even stated that we should solve in terms of n
Therefore the answer is 2+3n
Answer:
C.WXYZ equal to PNLM
Step-by-step explanation:
Look at the given statement, WZYX is equal to PMLN.
WZYX is equal to PMLN. W corresponds to P.
WZYX is equal to PMLN. Z corresponds to M.
WZYX is equal to PMLN. Y corresponds to L.
WZYX is equal to PMLN. X corresponds to N
Now look in the choices. The letters must correspond like they do above.
W must correspond to P.
WXYZ equal to P...
X must correspond to N.
WXYZ equal to PN...
Y must correspond to L.
WXYZ equal to PNL...
Z must correspond to M.
WXYZ equal to PNLM
Answer: C.WXYZ equal to PNLM
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
<h3>
Volume of the orange pyramid</h3>
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
- A is the base area of the pyramid
- h is the height of the pyramid
V = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
<h3>
Volume of the green pyramid</h3>
Voume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
<h3>Height of the green pyramid</h3>
V = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
Learn more about area of pyramid here: brainly.com/question/22744289
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