Answer:
[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840
Step-by-step explanation:
All the angles of a triangle add up to 180°, so we can solve this using the following equation:
180 = (x^2 + 34) + (6x + 4) + (10x + 10)
180 = x^2 + 34 + 6x + 4 + 10x + 10
Now, let's combine like terms:
180 = x^2 + (6x + 10x) + (34 + 4 + 10)
180 = x^2 + 16x + 54
Subtract 180 from both sides:
0 = x^2 + 16x - 126
And solve using the quadratic formula:
[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]
And we can approximate this as a decimal, if needed:
x = 5.7840
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.
1. 0.3, 0.9, 1.5, 2.1
2. 1, 8, 27, 64
Step-by-step explanation:
an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.
1. is an arithmetic sequence. the constant is 0.6.
0.3 + 0.6 = 0.9
0.9 + 0.6 = 1.5
1.5 + 0.6 = 2.1
...
so, we have
a1 = 0.3
an = an-1 + 0.6
and
an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6
2. is neither an arithmetic nor a geometric sequence.
it is simply
an = n³
Pre-Algebra simple question
Step-by-step explanation:
multiplication
yep that is the answer
Answer:
multiplication should be used
What is the value of x? Enter your answer in the box. x =
Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
When we round 7.80576 to 3s f, it is equal to:
Question.[Mathematics]
6³ + 6³ =
[tex] \: \: \: \: \: \: [/tex]
[tex] = 432[/tex]
Step-by-step explanation:
[tex] {6}^{3} + {6}^{3} [/tex]
collect like terms[tex]2 \times {6}^{3} [/tex]
evaluate the power[tex]2 \times 216[/tex]
multiply the number[tex] = 432[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?
kimi is running for student body president. her friend, sarah, already helped by posting 12 of her campaign signs around the school. now kimi id posting the rest at a rate og 1.5 signs per minute. write an equation that shows the total number of signs posted, y, depends on the number of minutes
Help with this and explain please
Answer:
Step-by-step explanation:
-6x + y = -6 Add 6x to both sides
y = 6x - 6 So the slope of the new line is 6
The point the new line has to go through is (-4,0) That will determine b.
y = 6x - 6
x = - 4
y = 0
0 = 6*(-4) + b Combine
0 = - 24 + b add 24 to both sides
24 = b
Answer: y = 6x + 24
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answer:
The answer is D,..................
Step-by-step explanation:
D
Just need some help with this one
Answer:
y = -2/3x + 10/3
I need this answer also. As fast as possible!!! Please please
Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
So what we can do, is input 12 as n in the original function.
Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]
Using algebra, we can solve it and we get 11!
Cheers!
find the unknown angle
Answer:
total angles in triangle = 180
180 = 44+56+ y
y = 180-44-56
y = 80°
now to find z and x
we know the 2 straight lines are parallel (indicated by arrows)
x = 56°
z = 44°
how?
alternate angles theorem
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.
Answer:
1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00
Step-by-step explanation:
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[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]
The best option is letter C. t = 2h + 32
C. t = 2h + 32One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?
pls help this is due tmrw
Answer:
Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
What is the slope of the function, represented by the table of values below?
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 10) and (x₂, y₂ ) = (8, - 10) ← 2 ordered pairs from the table
m = [tex]\frac{-10-10}{8-(-2)}[/tex] = [tex]\frac{-20}{8+2}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2 → B
a car travels at a constant speed for 2 hours. what is that speed miles per hour
Answer:
Distance/2 hours
Step-by-step explanation:
Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.
Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.
DUBS
Please consider a brainliest!
a football team won 80% of the 150 games in a season. Wright the percent proportion that will help you solve the problem in that point
40.8 divide by 12 pleas find it
Answer:
40.8 ÷ 12 = 3.4
Step-by-step explanation:
---------
The solution of expression 40.8 divide by 12 is, 3.4
The given numbers to divide are,
⇒ 40.8 divide by 12
Let us assume that, a is divided by b,
Then, it can be written as,
⇒ a / b
Hence, We can write as,
⇒ 40.8 / 12
⇒ 408 / 120
⇒ 3.4
Therefore, The solution of expression 40.8 divide by 12 is, 3.4
Learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
If x = 100, what is the value of x(x-4)?
Answer:
9,600
Step-by-step explanation:
100-4 is 96
96 times 100 is 9600
PLEASE HELP IM FAILING
Find the output for the relation with the given input. If there is no possible output for the given input explain why not
Step-by-step explanation:
[tex]f(x)=\frac{x}{x-1}[/tex]
To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:
[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]
There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.
Without solving the system of equations how can you
determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7
Answer:
Step-by-step explanation:
First Pair.
If you divide the top equation by 3 you get
x + 2y = 12
x + y = 7 From that I get that y = 5
Second pair
Do the same thing to the top equation only this time divide by 6
x + 2y = 4
x + y = 7
If you subtract again you get y = - 3
Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.
Answer:
35 glasses
Step-by-step explanation:
Susie has 5/8 gallon = 5/8 * 16 = 10 cups
10 cups ÷ 2/7 cups per glass = 35 glasses
210 is the product of − 14 and x
Answer:
-14 and -15
Step-by-step explanation:
When you multiply two negative numbers together, it will equal a positive number
please help please help
Answer:
35
Step-by-step explanation:
It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.
I hope this helps!!!
Answer:
C) 35
Step-by-step explanation:
The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.
Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.
To find the absolute value of a number do this:
If the number is zero, then its absolute value is 0. |0|= 0
If the number is positive, then the absolute value is just the number. For example, |9| = 9
If the number is negative, then just drop the negative sign. Example: |-3| = 3
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.
Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.
We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
https://brainly.com/question/13738061
Which linear equation represents a line with a slope of -7 and a y-intercept of 12
Answer:
Answer → y = -7x + 12
Step-by-step explanation:
General equation of a line:
[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]
m is the slopec is the y interceptFrom the question;
m is -7
c is 12
[tex]{ \tt{y = - 7x + 12}}[/tex]
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.
Answer:
195,500,000 people.
Step-by-step explanation:
8.5 mil times 23 equals 195,500,000
Which graph best represents the solution set of y + 8/3x > 4
Which graph best represents the solution set of y + 8/3x > 4 ?
Letter D. is the answer :)Hope It's Help
Determine the zeros for x2 + 7x − 20 = 6x.
Answer:
= 4
or
= −5
Step-by-step explanation:
Answer:
[tex]x=-5[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
[tex]x^2+7x-20=6x[/tex]
[tex]x^2+7x-20-6x=6x-6x[/tex]
[tex]x^2+x-20=0[/tex]
[tex](x+5)(x-4)=0[/tex]
[tex]x=-5[/tex] and [tex]x=4[/tex]