Answer: 2
To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.
So by the triangle inequality theorem, 11+x>12 meaning the minimum whole number value of x is 2.
(3)m+2= (-3)4 . 9 solve for m
Answer:
m = - 6.9
Step-by-step explanation:
3 × (m + 2) = - 3 × 4.9
3m + 6 = - 14.7
3m = - 20.7
m = - 6.9
Passes through 0,2 and has a slope of -5/3
Answer:
y = - 1 2/3x + 2
Step-by-step explanation:
Step 1:
y = mx + b Slope intercept Form
Step 2:
y = - 5/3x + b Input Slope
Step 3:
2 = - 5/3 ( 0 ) + b Input x and y
Step 4:
2 = b Multiply
Answer:
y = - 1 2/3x + 2 Input b
Hope This Helps :)
find a9 of an= 3n-7.
Answer:
a9=20
Step-by-step explanation:
an=3n-7
a1=3(1)-7
=3-7
=-4
a2=3(2)-7
=6-7
=-1
a3=3(3)-7
=9-7
=2
a=-4....a2=-1....a3=2
d=a2-a1
=3
a9=a+(n-1)d
=-4+(9-1)3
=-4+8(3)
=-4+24
=20..
AB, CD, and EF intersect at O. If CD is perpendicular to EF and m
Answer:
m(∠AOF) = 148°
Step-by-step explanation:
From the figure attached,
CD intersects line EF at a point O.
Line CD is perpendicular to the line EF.
m(∠AOE) = 32°
m(∠COE) = 90°
Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°
32° + m(∠AOC) = 90°
m(∠AOC) = 90° - 32° = 58°
m(∠AOF) = m(∠AOC) + m(∠COF)
= 58° + 90°
= 148°
Therefore, m(∠AOF) = 148° will be the answer.
help please do quickly
Answer:
1.79m^2
Step-by-step explanation:
(0.1×1)+2(0.5×0.8×0.1)+(1×0.8)+(1×0.81)
=1.79
Answer:
17.5m
Step-by-step explanation:
You gotta do this:
0.81 x 1 = Top area
((0.8 x 0.1) ÷ 2) x 2 = left side and right side area
1 x 0.1 + Back Area
0.8 x 1 = Bottom
Add them all together and remember that the final answer has to be in metres, you get - 17.5m
what are the solutions of the quadratic equation 4x^2-8x-12=0
Answer:
x₁ = -1, x₂ = 3Step-by-step explanation:
[tex]4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3[/tex]
The ratio of dogs to cats in a zoo choir is 4 : 3. There are 6 more dogs than cats. If another 2 cats join the choir, what will be the new ratio of dogs to cats?
Answer:
6:5
Step-by-step explanation:
c = number of cats
d = number of dogs
d = c+6
Set up a ratio:
4/3 = d/c
Then replace d with c+6, so your equation only has one variable.
[tex]\frac{4}{3} = \frac{c+6}{c}[/tex]
Cross multiply
4c = 3(c+6)
Multiply everything in the parentheses by 3.
4c = 3c + 18
Subtract 3c from both sides
4c - 3c = 18
c = 18
d = c + 6 = 18 + 6 = 24
If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20. Divide each side by 4 for a ratio of 6:5.
All real number less than 38
Can someone please help me asap?!?! I’ll mark brainlist !
Answer: $36.80 and the difference is $9.20
Step-by-step explanation:
The cost of renting a car for one day is $39 plus 15 cents per mile driven. In a graph of the situation, what does the cost per mile driven represent?
Answer:
It will represent the slope of the graph
Step-by-step explanation:
Here, we are interested in getting what the cost per mile driven represent
From the information, we can represent the cost as;
C = 15d + 39
In this case we have a representation of the cost using the fixed daily cost(y-intercept) and the cost depending on the number of miles driven which will change based on the number of miles.
Since it is changing, it represents the slope of the function for cost
Circle the irrational number in the list below. 7.27, 5, 9215, 2196
Answer:
7.27 is the irrational number
Step-by-step explanation:
7.27 can not turn into a fraction because it keeps on repeating
There are no Irrational numbers in the list.
We have a set of numbers - 7.27, 5, 9215, 2196.
We have to circle out the Irrational ones.
What are Irrational Numbers?Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction - p/q where p and q are integers.
According to the question, we have -
7.27, 5, 9215, 2196
Now -
7.27 = [tex]$\frac{727}{100}[/tex] → It is Rational.
5 = [tex]$\frac{5}{1}[/tex] → It is Rational.
9215 = [tex]$\frac{9215}{1}[/tex] → It is Rational.
9215 = [tex]$\frac{2196}{1}[/tex] → It is Rational.
All the numbers are Rational as they can be expressed in the form of p/q.
Hence, there are no Irrational numbers in the list.
To solve more questions on Rational and Irrational numbers, visit the link below-
https://brainly.com/question/20400557
#SPJ2
Activity 1 Lesson 1 Patterns, Sequences, and Rules
find the area of the hexagon with a perimeter of 240
Answer:
5985.97
Step-by-step explanation:
A=33
2a2=3·3
2·482≈5985.96759
Among all pairs of numbers with a sum of 39, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms
Answer:
39/2, 39/2 give a maximum product.
Step-by-step explanation:
Let 1 number be x then the other is 39-x.
Product P = x(39 - x)
= 39x - x^2.
Finding the derivative:
dP/dx = 39 - 2x
When P is a maximum or minimum dP/dx = 0, so
39 - 2x = 0
x = 39/2.
The 2 numbers are both 39/2.
Divide 300 among Ravi and Isha in the ratio 2:3.
Answer:
Ravi: 120
Isha: 180
Step-by-step explanation:
Think of the ratio as parts. Ravi gets 2 parts while Isha gets 3.
But, we don't know how much each gets. This is written as X.
The ratio of 2:3 can be set up in an equation as 2x and 3x.
We know that the total is 300.
[tex]2x+3x=300\\5x=300\\x=60[/tex]
Ravi has 2 parts:
[tex]2(60)=120[/tex]
Isha has 3 parts:
[tex]3(60)=180[/tex]
which statements are true when solving x^2=81
Answer: x
2
=
81
can be written as
x
2
−
81
=
0
by property ,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
The expression becomes
x
2
−
(
9
)
2
=
0
(
x
−
9
)
(
x
+
9
)
=
0
equating each of the terms with zero we obtain the solution
x
−
9
=
0
and
x
+
9
=
0
the solutions are
x
=
9
or
x
=
−
9
Step-by-step explanation:
Answer:
A) Take the square root of both sides to solve
E) x = ±9
Step-by-step explanation:
565, 961, 867, 517, 627, 714, 517, 728
What is the range of these areas in square feet?
Answer:
No Clue
Step-by-step explanation:
please get this right pleaseee
Answer:
22 is the median
the minimum is 16
idrk for number 3 or 5
the maximum is 28
idrk for 6 or 7
Step-by-step explanation:
i wrote some of the answers, all you have to do is use the box plot
Austin works as an electrician. If a job requires Austin to work on weekends, the function C(t)=54t+75 represents the customer's cost, C, in dollars of working t hours on the job. What is the interpretation of the y-intercept?
Answer:
He charges a flat rate of 75, and any extra work will be 54 dollars per hour.
Step-by-step explanation:
Answer:
he charges $75
Step-by-step explanation:
Which expression is equivalent to log subscript 12 baseline startfraction x superscript 4 baseline startroot x cubed minus 2 endroot over (x 1) superscript 5 baseline endfraction? 4 log subscript 12 baseline x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x times 1) 4 log subscript 12 baseline x one-half log subscript 12 baseline startfraction x cubed over 2 endfraction minus 5 log subscript 12 baseline 1 log subscript 12 baseline 4 x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x) 1 4 log subscript 12 baseline x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x 1)
There are four basic properties of logarithms. The solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex].
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)\\\\\rm log_aU - log_aV = log_a(\dfrac{U}{V})\\\\\rm log_aU^n = n\ log_aU\\\\\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]
The given logarithmic problem can be solved in the following manner,
[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex]
By using the division law of logarithm, [tex]\rm log_a(\dfrac{x}{y}) = log_ax - log_ay[/tex]
[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5} = log_{12}\ {x^4\sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]
By addition law of Logarithm, [tex]\rm log_a(xy)= log_ax+ log_ay[/tex]
[tex]\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]
Using the logarithmic Property, [tex]\rm log\ a^m =mlog\ a[/tex]
[tex]=\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}\\\\=log_{12}\ x^4+ log_{12} (x^3-2)^{\frac12}-log_{12}{(x+1)^5\\\\[/tex]
[tex]=4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]
Hence, the solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]
Learn more about Logarithms:
https://brainly.com/question/7302008
| 3х – 9| = 24
??????????????????????????????????
Answer:
X=11
Step-by-step explanation:
|3x-9|=24
is the same as
3x-9=24
which becomes
3x=33 because you add 9 to both sides
which is
x=11 because you divide by 3
I’m so confused help
Distribute: 7(t+4)
Explanation:
Multiply the outer term 7 by each term inside the parenthesis.
7 times t = 7*t = 7t7 times 4 = 7*4 = 28We then add up those results, combining like terms if possible.
That's how we get to 7t + 28
Answer:
7t+28
Step-by-step explanation:
multiply each term in the parentheses by 7
7t+7×4
multiply the numbers
7t+28
The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees and taxes. It costs $367 per student to board the cruise. If your class raised $16,600, how many students can attend?
HELP ME ASAP if ure not sure please dont answer
Answer:
Depends on what you think your instructor is looking for either it is 45 students, or the answer is 41.
Step-by-step explanation:
41 is the answer if you subtract the port fees from the amount raised then divided the remainder by cost per student .
Solve for x
Show work please
Answer:
[tex]\tt x=5[/tex]
Step-by-step explanation:
[tex]\tt 18x-5=13x+4x+1-11[/tex]
[tex]\tt 18x-17x=15-10[/tex]
[tex]\tt x=5[/tex]
~
Find a4 in the sequence given by {a1=-3 and an=an-1+7
Answer:
a4 = -12
Step-by-step explanation:
I need helppp pleaseeeeee!!!!!!!!!!!!!!
Answer:
$5.55
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!
Answer:
2 x 20^2
Step-by-step explanation:
I did it on paper and looked it up to make sure
Ryan walked 2 1/2 miles in 3/4 hours find unit
Answer:
2/3
Step-by-step explanation:
Divide 1/2 by 3/4 to get 1/2 x 4/3 = 2/3 mph
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. -16.25 inches
Step-by-step explanation:
First, we need to find out the total rainfall in the three days
0.75 + 0.75 + 0.75 = 2.25
Now, we need to subtract this number from 18.5
18.5 - 2.25 is 16.25
So, your answer is -16.25
I really hope this is right and I really hope this helps!
Hello everyone good morning may I get ur help in the first attachment~ marking brainliest for the right answer
Answer:
x=1.5
Step-by-step explanation:
triangle JLM is similar to triangle QST
so we know that similar triangles have proportionate sides
so..
JM/LM=QT/ST
4/(6x-3)=2/3
3*4=2(6x-3)
12=12x-6
12x=18
x=1.5
X = 1.5
On paper, I worked it out. Despite the fact that answers have already been offered, this might be used as confirmation that the answers given by other members are correct.
Have a wonderful day.