10.) DC
community property
11.) 13+x
community property
12.) 8x-12
distributive property
13.) (2+a)+b
14.) 4(2x+1)= 4+8x
For question 14 you can do 4×2=8x. Then do 4×1=4. It is equal. Just do distributive property for number 14 for 4(2x+1)
Values needed to complete the X diagram are:
On top -28, On the bottom: -3 and On the sides: -7 and 4.
<h3>What do you mean by
factorization?</h3>
An algebraic expression is factorised when it is written as the product of its factors.
The given equation is :
F(x) = x²-3x-28
finding factors,
= x²-7x+4x-28
= x(x-7) +4(x-7)
= (x-7)(x+4)
Given general equation is ax²+bx+c,
on comparing with x²-3x-28
a = 1
b = -3
c = -28
ac = 1*(-28) = -28
To know more about factorization please visit:
brainly.com/question/23153500
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Answer:
f(x) = 2x+5
Step-by-step explanation:
Given the arithmetic sequence shown
7,9, 11, 13, 15, 17,
THe nth term of the sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 7
d is the common difference = 9-7 = 11-9 = 2
Substitute
Tn = 7 + (n -1)*2
Tn = 7 + 2n - 2
Tn = 2n + 5
Hence the required function is f(x) = 2x+5
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
Answer:
The answer to your question is Volume = 12735.06 cm³
Step-by-step explanation:
Data
a = 11.26 cm
s = 13 cm
h = 29 cm
Formula
V = BH
Process
1.- Calculate the area of the base
Area = B = Pa/2
P = Perimeter
P = 6(13)
P = 78 cm
Area = (78)(11.26)/2
= 878.28/2
= 439.14 cm²
2.- Calculate the volume
Volume = BH
= (439.14)(29)
= 12735.06 cm³
