Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answer:
8.50
Step-by-step explanation:
Please don’t troll include work
Find the final amount of money in an account if
$
6
,
700
is deposited at
7
%
interest compounded weekly and the money is left for
10
years.
Answer:
7064
Step-by-step explanation:
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
B. parallelogram
Step-by-step explanation:
Given
See attachment for quadrilateral
Required
Select the type of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Since all 4 sides are not equal, then it is neither a square; nor a rhombus
Hence, the shape is a parallelogram
Find the common ratio for the geometric sequence
-24, -12, -6
can someone do this for me thanks ok bye
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
log2 10=3x
Step-by-step explanation:
is the amswer
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
Simplify.
Help me please
Answer:
answer is 3^2
hopefully this helps someway
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
What is the answer to that
Answer:
can you show me the picture? I will edit my answer if you show me full picture
Step-by-step explanation:
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
[tex]l = 14cm[/tex]
[tex]w = 11cm[/tex]
[tex]h = 7cm[/tex]
Required
The length of the longest segment (d)
This is calculated using:
[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]
So, we have:
[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]
Using a calculator, the equation becomes
[tex]d = \sqrt{366[/tex]
Take square roots
[tex]d = 19.13cm[/tex]
need help with this
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32
Solve for xxx in the diagram below.
Find the missing side. Round to the nearest tenth.
Answer:
take 72 degree as reference angle
using cos rule
cos 72=b/h
0.30=6/x
0.30x=6
x=6/0.30
x=20
Step-by-step explanation:
no files or links please give me answer
Answer:
I think it is J if not it may be H if they are both wrong i am so so sorry
Step-by-step explanation:
Plz help me well mark brainliest if correct............?
Answer: 343
hope this helps
WILL
GIVE BRAINLIST
ANSWER
MATH
who was the artist that cut off his ear?
Answer:
Vincent Van Gogh
Step-by-step explanation:
He was the artist who cut off his ear in 1888 in December I think...
I hope this helped :))
Please help!!!
Select the correct answer
2 + 2 =
very easy beainliest :)
Answer:
4
Step-by-step explanation:
1+1+1+1=4
Answer:
wow, hardest question I've ever answered! It's either 4 or 22, I can't decide
Step-by-step explanation:
What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
Please someone help me on this :c
Scientific notation questions
Best answer gets Brainliest and 20 points
(All of the questions are on the picture)
Please answer this ASAP
*NO LINKS OR QUESTION REPORTED*
[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]
The above expression can be written as :
[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]
[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]
As Bases are same, we can add the powers with same base
[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]
[tex]\implies \sf{10^{9}}}}[/tex]
[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]
The above expression can be written as :
[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]
[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]
[tex]\implies\sf{10^{(5 - 11)}}[/tex]
[tex]\implies\sf{10^{-6}}[/tex]
[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]
[tex]\implies\sf{10^{(-5 + 10)}}[/tex]
[tex]\implies\sf{10^{5}}[/tex]
[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]
[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]
[tex]\implies \sf{(20)(10^{11})}[/tex]
[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]
[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]
please help me and use laws of exponents
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000
Answer:260000
Step-by-step explanation:
The computer club spent $27.75 on beverages for the end-of-year picnic. The total cost of the beverages was $0.75 per person. How many people attended the picnic
Can someone help me
Answer:
8
Step-by-step explanation:
If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.
please help!!!!
ignore the writing -_-
Answer:
Haha once again 1200 and 8.5 are the answers