5(-2)² - 9
First, solve the one in the bracket which is -2 × -2 which gives us =4
5(4) - 9
Then, multiply 5 with 4 so
20 - 9
Then you'll get 11
list the coordinate for both pairs.
Answer:
Hi I hope this helps
A = X : -3 Y : -3
B = X : -2 Y : 1
Step-by-step explanation:
please let me know if it's right or wrong
Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
How do I calculate (⅔)³×(4/9)⁴ with powers properties?
Notice that
4/9 = 2²/3² = (2/3)²
so that
(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴
… = (2/3)³ (2/3)⁸
… = (2/3)¹¹
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.
4.01 feet
9.37 feet
13.08 feet
29.85 feet
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Given:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.
Find:
The height of the tunnel 4 feet from the edge is.
Let us consider,
The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider
[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]
Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.
Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:
[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]
If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet from the center of the tunnel.
Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,
[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]
Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
For further details,please prefer this link:
https://brainly.com/question/13447584
Answer:
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Step-by-step explanation:
because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!
Which fraction is equivalent to 3/10?
Answer:
[tex]\frac{12}{40\\}[/tex]
Step-by-step explanation:
[tex]\frac{3}{10}[/tex] × [tex]\frac{4}{4} =\frac{12}{40}[/tex]
From a circular sheet of radius 18cm , two circles of radii 4.5cm and a rectangle of length 4cm and breadth 1cm are removed; find the area of the remaining sheet.
Answer: 14 cm
Step-by-step explanation:
Answer:
R=14 cm
total area= πr²
=22/7*196=616 cm²
r2= 3.5 cm
area of the small circles= 2*πr²=2*12.25*22/7=77 cm²
length of rectangle=3
breadth=1
area =lb=3 cm²
area of the small circles+area of rectangle=77+3=80 cm²
remaining area=616-80=536 cm²
heyy everyone a little halp here i kinda need it fast sorry
The heights of Rahul, Akash, Meera and Lakshmi are 1.54m, 1500mm,
152cm,1560mm respectively.
a) Arrange their heights in ascending order.
b) Who is the tallest among them?
Answer:
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Step-by-step explanation:
Rahul- 1.54m
Akash- 1500mm
Meera- 152cm
Lakshmi- 1560mm
Let's start by converting all the measurements to meters.
Rahul is already in meters, so he can just stay the same.
1500mm = 1.5m
152cm = 1.52m
1560mm = 1.56m
So our new measurements are:
Rahul- 1.54m
Akash- 1.5m
Meera= 1.52m
Lakshmi= 1.56m
We can now make our conclusions.
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Answer:
Step-by-step explanation:
Let's convert all the heights to meters:
Rahul 1.54m
Akash 1.50 m
Meera 1.52 m
Lakshmi 1.56m
Now, let's arrange their heights in ascending order (shortest to tallest):
Akash 1.50 m
Meera 1.52 m
Rahul 1.54m
Lakshmi 1.56m
a) 1500 mm, 152 cm, 1.54 m, 1560 mm
b) therefore Lakshmi is the tallest.
Can someone help me on this I’m struggling a lot
A) 2/16
B) 5/8
C) 6/8
D) 1/3
Answer:
B) 5/8
Step-by-step explanation:
Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.
So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:
1/2 * 4 = 4/8
Now, we can add the amounts of the total granola bar that he consumed:
4/8 + 1/8 = 5/8
Because 5/8 cannot be simplified any further, that is our final answer.
Hope this helps :)
Determine what type of model best fits the given situation:
A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection
Answer:
A. none of these
Step-by-step explanation:
It's an absolute value function such as : y = 3*| x-1 |
Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!
9514 1404 393
Answer:
sum = 1
Step-by-step explanation:
The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.
__
In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.
Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).
_____
You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...
[tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]
Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...
(1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4
This means the given sum will evaluate to ...
1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series
Apply the distributive property:
-3(x+2) =
Answer:
-3x-6
Step-by-step explanation:
you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6
Hello skm413002!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Apply the distributive property:
-3(x+2) =
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
By applying the distributive property, we can solve it as....
[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]
Method :-Distributive property.Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.__________________
Hope it'll help you!
ℓu¢αzz ッ
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer:
Perpendicular
neither
[tex]y=\frac{4}{5}x-2[/tex]
Step-by-step explanation:
Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard
Answer:
It is c
Step-by-step explanation:
help fast pleaseee
NO RANDOMS
Answer:
44.8
Step-by-step explanation:
Take the second number and subtract the first number
44.4 - (-.4)
Subtracting a negative is like adding
44.4 +.4
44.8
Answer:
[tex]D.44.8[/tex]
Step-by-step explanation:
The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.
- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
find the midpoimt of the line segment between the points (4,-7) and (12, -1)
a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)
The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.
Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])
∴ for a line segments with endpoints (4,-7) and (12, -1),
Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])
= ( [¹/₂ (16)] , [¹/₂(-8)])
= (8, -4) (OPTION A)
I got the rest please answer for last question!
Answer:
y = -3x + 1
Step-by-step explanation:
see if that's correct? I'm not quite sure
PLS ANSWER!!
32-2(1+3) squared
Answer:32-2=30 30+1+3=34 . Ans:34
Step-by-step explanation:
Answer:
32-3(4)
24
24 squared is
576
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)
7249jwnsnjdkwlskjeiwiwo1ñwlld
Answer:
I think it's about 15 to 22.
Step-by-step explanation: So first I checked the length for the unknown number and I added the 12 and 10 together but that didn't work and so i'm just estimating the number for x yo.
Sorry if I didn't helped you yo.
Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?
Define a variable:
Write an Equation or Inequality:
Answer:
5 shirts
Step-by-step explanation:
we can use the problem to get an equation:
65+15x=50+20x
subtract 50 from each side to get:
15+15x=20x
subtract 15x from each side to get:
15=5x
divide each side by 5 to get your answer:
x=5
Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?
Answer:
$ 500
Step-by-step explanation:
Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)
answer pls 8 + 40 ÷ (10 × 2)
Answer:
10
8+40÷20=8+2=10
,.,.......
someone please help me
Answer:
the slope is -2
Step-by-step explanation:
Answer:
1/1 = 1
Step-by-step explanation:
Use rise/run.
The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).
1/1 can then be converted to 1.
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
Que. 19. In the equation x = 2y + 9, if x = 1, than y =
Answer: y = -4
Step-by-step explanation:
If x = 1
1 = 2y + 9
1 - 9 = 2y
-8 = 2y
y = -8/2
y = -4
please give me a brainliest answer
Answer:
[tex]y = ( - 4)[/tex]
Step-by-step explanation:
Given that,
[tex]x = 1[/tex]
Question :
[tex]x = 2y + 9[/tex]
You have to find the value of y. So, make the y as the Subject
[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]
Now replace 1 instead of x
[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form
-
2x2 - 4x
b) Factorise
Which term of ap 30,27,24is0
Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (6,9)² + (5,3)²
x² = 47,61 + 28,09
x² = 75,7
x = 8,7yd✔
I need help finding the x
Answer:
the answer is x=11......