Answer:
1. x=66
2. x=55
Step-by-step explanation:
1. 180 - 48 = 132
132/2 = 66
2. multiply and solve
a transformation is applied to a figure to create a new figure on a coordinate grid. which transformation does not preserve congruence?
a. A reflection across the x-axis
b. A translation 7 units down
c. A dilation by a scale factor of 5
d. A rotation of 90° clockwise
PLEASE HELP
Factor completely 2x3 + 6x2 + 2x + 6.
O 2[(x + 3)(x2 + 1)]
• (2x + 6)(x2 1)
O (x + 3)(2x2 + 2)
O 2(x3 + 3x2 + x + 3)
Answer:
A. 2(x+3)(x^2+1)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The given expression is
Taking out the common factor.
The complete factor form of given expression is . Therefore the correct option is A.
. solve it I will mark u as brilliant
Answer:
5/100 , 7/2 ,4/5 321/100, 35/100, 607/1000, 3/2, 52/1
Step-by-step explanation:
Use Newton's method with initial approximation
x1 = −2
to find x2, the second approximation to the root of the equation
x3 + x + 6 = 0.
Use Newton's method with initial approximation
x1 = −2
to find x2, the second approximation to the root of the equation
x3 + x + 6 = 0.
x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.
Newton's method is one of the numerical methods used to estimate the root of a function.
The following are the steps for using Newton's method:
Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).
Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).
Therefore, the given equation is x³ + x + 6 = 0.
Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.
Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.
To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).
Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13
To Know more about derivative visit:
https://brainly.com/question/29144258
#SPJ11
Find the LCM of 13 and 52.
LCM =
.
Answer:
Step-by-step explanation:
13 , 52
Here 13 is a prime number. So, check if 52 is a multiple of 13.
Yes, 13*4 = 52
LCM = 52
Answer:
52
Step-by-step explanation:
L.C.M of 13 and 52 is,
13 | 13 , 52
4 | 1 , 4
| 1 , 1
L.C.M = 13 x 4 = 52
solve the system of equations and choose the correct ordered pair
3x+5y=6
4x+2y=-6
Answer: The answer is
x= -3
y= 3
If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the
probability that the Islanders will win exactly three out of three games in a series
against the Rangers? Round your answer to the nearest thousandth.
Answer:
1/3 ^ 1/3 * 1/3 = (1/3)^3 = 1/27
Which two expressions are equivalent?
a.) 2a and 9/3 (a)
b.) 5a and 3(2a)
c.) 4a - 2a and a+a
d.). 4a - a and 1+1+1+a
Answer:
C) 4a-2a=a+a
Step-by-step explanation:
4a-2a=2a
2a=a+a
2a=2a
answer:
option c is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
need help with this question
The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.
What is an explicit formula?
The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.
Here, we have
Given: the sequence 14,16,18,….
First term a₁ = 14
Common difference d = 16 - 14 = 2
Now, plug the values into the above formula and simplify.
aₙ = a₁ + d( n - 1 )
aₙ = 14 + 2( n - 1 )
aₙ = 14 + 2n - 2
aₙ = 14 - 2 + 2n
aₙ = 2n + 12
Hence, the explicit formula is aₙ = 2n + 12.
To learn more about the explicit formula from the given link
https://brainly.com/question/9859279
#SPJ1
Write a linear equation that passes through the point (2,-9) and has a slope of 5
Answer:
y=-5x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-5(x-2)
y+9=-5x+10
y=-5x+10-9
y=-5x+1
Is - 3 a solution of - 3x=9?
Answer:
Yes
Step-by-step explanation:
-3(-3) = 9
Product of two negatives is positive
Answer:
yes, -3 is a solution of -3x = 9
Step-by-step explanation:
substitute -3 for x in the equation
-3x = 9
-3*-3 = 9
9 = 9
since 9 does in fact equal 9, the answer is yes!
I picked (-x,y) and it said it was incorrect I really do not understand this at all someone please help
Answer:
(x + 2, y - 6)
Step-by-step explanation:
its basically the rule of the translation, like x was 2 units to the right and y was 6 units down
Can i get brainliest please? :))
hope this helped
Rachel and Keegan are building a stand like the one shown to display framed photos. what is the surface area of the stand? length 7ft, width 1ft, height 2ft.
Answer:
it a because digkjg
Step-by-step explanation:
1 goes to 2 adnd it stops like that
This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
To know more about equilateral triangle
brainly.com/question/3461022
#SPJ4
Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?
Answer:
Step-by-step explanation:
5 game apps to 2 educational apps = 5/2
I don't have any choices given, but either 5/2 is the answer or 2.5/1 or 2 1/2:1 is the answer.
A building, which costs $125,000 to build, increased in value by 3 ½% What is the building worth now?
Answer:
The building is worth $129,375 now.
Step-by-step explanation:
To find the value of the building now, you can use the following formula:
Current value = Original value + (Original value * Increase percentage)
Plugging in the values given in the problem, you get:
Current value = $125,000 + ($125,000 * 3.5%)
= $125,000 + $4,375
= $129,375
hi pls help. thank you sm:) have a good night/day!
Answer:
Step-by-step explanation:
a.)
\(14*2^x\)
b.)
\(14*2^7=1792\)
Express the equation x+y=200 in the form ax+by+c= 0
Answer:
x+y-200=0
Step-by-step explanation:
ax = x
by = y
c = 200 but we convert it to negative 200 after moving it from the RHS to LHS
So x+y=200 will be x+y-200=0 in the form ax + by + c =0
Please Help Me!!! I'm bad at math.!
Group the terms with variables on one side of the equal sign, and simplify.
5n + 13 = 25n
A. 13 = 20n
B. –13 = 20n
C. 18n = 25
D. 13 = 30n
Please select the best answer from the choices provided
Answer:
A. 13=20n
Step-by-step explanation:
5n+13=25n
-5n -5n
13=20n (you can't simplify any further making A your answer )
I got a 100 on this
help me please im struggiling with this
Answer:
Step-by-step explanation:
Its easy if you think about it, the median is the middle number of the equation so you line the numbers up in order- least to greatest.
1,1,1,1,1,1,2,2,2,2,2,3,4,4,4.
Cross out the numbers until you hit one middle number!
Median is 2.
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
Background of the Discriminant
The discriminant \(b^2-4ac\) applies to quadratic equations when they are organised in standard form: \(ax^2+bx+c=0\).
All quadratic equations can be solved with the quadratic formula: \(x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}\).
When \(b^2-4ac\) is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
Solving the Problem
\(3x^2+5x=-1\)
We're given the above equation. It hasn't been organised completely in \(ax^2+bx+c=0\), but we can change that by adding 1 to both sides to make the right side equal to 0:
\(3x^2+5x+1=0\)
Now that we can identify the values of a, b and c, we can plug them into the discriminant:
\(D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13\)
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
Triangle def is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures? δdef ≅ δsur δdef ≅ δsru δdef ≅ δrsu δdef ≅ δrus.
Triangle DEF is congruent to triangle SRU, i.e., ΔDEF ≅ ΔSRU. So, second option is correct.
It is given to us that -
Triangle DEF is reflected over the y-axis
It is then translated down 4 units and right 3 units
We have to find out the correct congruency statement that describes the figures.
From the given figures we can see that, upon translation of the triangle DEF down 4 units and right 3 units,
The point D gets transformed into S
The point E gets transformed into R
The point F gets transformed into U
We know that any type of rotation or translation does not create any change in the shapes or dimensions of the figure.
So, the lengths and angles didn't vary in accordance to the given transformations.
Therefore, the new triangle is ultimately congruent to the actual triangle.
Thus, corresponding to the equivalent order for the letters of the original triangle, it can be concluded that triangle DEF is congruent to triangle SRU, i.e., ΔDEF ≅ ΔSRU. So, second option is correct.
To learn more about congruent triangle visit https://brainly.com/question/22062407
#SPJ4
1. 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A. 3656 D. 2739 B. 1841 E.5418 C. 3556
Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).
The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.
To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:
The first number, 5, is the sum of the second and third numbers (2 + 1).
The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).
The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).
The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).
The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).
The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).
Based on this pattern, we can deduce that the missing values are 5 and A.
Now, let's calculate the missing value:
m + A = 5
To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).
For such more questions on Missing value: Indeterminable.
https://brainly.com/question/30389332
#SPJ8
An apple has a mass of 160 g and a volume of 100 cm. Find its density in g/cm'
Answer:
Hi
Please mark brainliest ❣️
Step-by-step explanation:
density= mass / volume
density= 160 / 100
density= 1.6
a fair bet is a: wager entered into with honesty and concern for the welfare of the other party. gamble that provides net gains to all participants so there is no loser. wager entered into when the rules are clear to all participants. gamble that, on average, will leave a person with the same amount of money.
Answer:gamble that,on average,will leave a person with the same amount of money.
Step-by-step explanation:
Circle O shown below has a radius of 9 inches. To the nearest tenth of an inch,
determine the length of the arc, x, subtended by an angle of 81°.
9 inches
10=81°
Answer:
\(\boxed{12.7\;inches}\)
Step-by-step explanation:
For a circle of radius r, the circumference is given by the expression
C = 2πr
So for this circle of radius 9", the circumference is 2 x π x9 = 18π
The entire circle covers a total angle of 360°
If there is a sector of the circle that is subtended by an angle Ф, then the length of that arc will be Ф/ 360 x C
Here Ф = 81°
So length of arc is
\(\dfrac{81}{360} \times 18 \pi\\\\\\\textrm {Using a calculator this works out to }\\\\\)
\(\dfrac{81}{360} \times 18 \pi = 12.72345\\\\\)
Rounded to the nearest tenth of an inch this would be
\(\boxed{12.7\;inches}\) ANSWER
the distance from city a to city b is 256.8 miles. the distance from city a to city c is 739.4 miles how much farther is the trip to city c than the trip to city b
Taking a difference, we can see that the trip to city C is 482.6 mi longer.
How much farther is the trip to city c than the trip to city b?
Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles
To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.
That means that we need to take the distance to city c and subtract the distance to city b.
We will get:
739.4 mi - 256.8 mi = 482.6 mi
The trip to city C is 482.6 mi more than the trip to city B.
Learn more about differences at:
https://brainly.com/question/17695139
#SPJ1
Help will give brainiest and 20 points, please answer thoroughly and explain ur steps. If you don’t answer properly I will report. The data is shown above, here is the question:
What types of graph could be used to display the data? Explain
What is the ratio of the areas of the triangles?
Answer:
Step-by-step explanation:
Write the sentence as an equation
w increased by 288 is the same as 8
Type a slash ( / ) if you want to use a division sign
How many solutions are there to the inequality x1 + x2 + x3 ≤ 11, where x1, x2, and x3 are nonnegative integers? [Hint: Introduce an auxiliary variable x4 such that x1 + x2 + x3 + x4 = 11.]
The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.
We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.
We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.
We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:
| ** | * | ****
This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.
We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.
Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
Click the below link, to learn more about solutions of the inequality :
https://brainly.com/question/22010462
#SPJ11