Answer:
4ˣ + 4⁻ˣ es igual a 7
Step-by-step explanation:
4ˣ + 4⁻ˣ
Dónde;
2ˣ + 2⁻ˣ = 3
Nosotras tenemos
[tex]2^x + \dfrac{1}{2^x} = 3[/tex]
[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]
[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]
Deje que 'a' represente 2ˣ, tenemos;
a² - 3·a + 1 = 0
a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2
∴ a = 2ˣ = (3 ± √5)/2
((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1
x = ln(3 ± √5)/2/(ln(2))
4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7
∴ 4ˣ + 4⁻ˣ = 7.
PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)
Answer:
6. Additional information is required on the two triangles
7. The pair of triangles are similar by SAS similarity postulate
8. Yes, by triangle proportionality theorem
9. DE = 9
Step-by-step explanation:
When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant
6. From the given figure, more information is required on the two triangles
However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate
7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;
18/45 and 10/25
18/45 = 2/5
10/25 = 2/5
Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate
8. By triangle proportionality theorem, we have;
If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;
3/6 = 4/8 = 2
∴ [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]
9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;
12/20 = DE/15
∴ DE = 15 × 12/20 = 9
DE = 9
solve for x
3x - (8-x) = 47
the square below has sides that are 3 1/2 inches long. what is the perimeter of the square? write an addition equation to solve.
PLS HELP I AM TIMED I WILL MARK BRAINLIEST///A rectangular prism has dimensions 2 feet by 3 feet by h feet.
Which of the following expressions represents the surface area, in square feet, of the
prism?
a. 5h + 6
b. 5h + 12
c. 10h + 6
d. 10h + 12
Answer:
5h+6
Step-by-step explanation:
I was litterly just doing this trust me im right lol
Answer:
D. 10h+12
Step-by-step explanation:
You have to multiply to find the area of each rectangle. There are 3 pairs of rectangles that are identical to one another.
2*h = 2h * 2 = 4h
3*h = 3h *2 = 6h
2*3 = 6 *2 = 12
10h+12
A construction company ordered 45 wood beams for a new project. Each beam
was 22.5 ft long. What was the total length of all of the beams put together?
Write your answer in yards.
3(x-5)=9 i don't know what to do
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5) = 9
(3(x-5))/3 = 9/3
x-5 = 3
x-5+5 = 3+5
x=8
1 / 5p= 4
(what’s the correct answer)
[tex]\frac{1}{5}p = 4[/tex]
Multiply both sides by 5 to isolate p.
p = 4 * 5 = 20
p = 20
Find the mean of the following numbers.
14, 17, 21, 28, 40
PLEASE HELP ME (URGENT)!!!!!
EXTRA POINTS WILL BE GIVEN TO THE BRAINLIEST ANSWER!!!
Answer:
Square. If the middle is 90° then all of them have to be.
Answer:
Square
Step-by-step explanation:
Technically that shape is all of them, because squares are all quadrilaterals, but the square is the most precise that you can get.
Hope that this helps!
Cindy put equal sized marbles into a bowl. Then, she shook the bowl until 3 marbles fell out. Is this a random sample of the marbles? YESS OR NOO?
ANSWER FAST!!
Answer:
Yes
Step-by-step explanation:
I'm assuming this is right
BRAINLIEST
a. sqrt of 24
b. sqrt of 33
b. 5.5
c. sqrt of 11
Answer:
Step-by-step explanation:
Anyone know the answer to 20?
Never gets it right will be the Brainleiest
Answer:
J
Step-by-step explanation:
If you use a calculator, 3/4 x 60 = 45
It’s the number closet to 100-55
Second part of my last question please help me!
Answer:
AC = 28
Step-by-step explanation:
ΔADB ≈ ΔDBC
DC / BC = AD / 15
16 / 20 = AD / 15
cross-multiply:
20AD = 240
AD = 12
AD + DC = AC
12 + 16 = AC
28 = AC
Which is the graph of linear inequality 6x + 2y > –10? NO PICTURES PLZZ
Answer:
y>-5-3x
Step-by-step explanation:
Help me with this pleaseeee
Answer:
A, B, C.
Step-by-step explanation:
Is (0, 0) a solution to the equation y = 9x?
(0, 0) is a solution to the equation y = 9x
Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation
To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.
If x = 0
y = 9x
y = 9(0)
y = 0
Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x
Learn more on coordinates here: https://brainly.com/question/1047474
Please help!!!! I’ll mark you as brainliest!!!
Answer:
22.50%
Step-by-step explanation:
Rate of return = ( Return on stocks / price at which it is bought) x 100
Return on stocks = (price at which it is sold - price at which it is bought )
Price at which 20 stocks are bought = 20 x 20 = $400
Return = $490 - $400 = $90
($90 / $400) x 100 = 22.50%
-3(7x-5)
Please I need an answer ASAP
Answer:
-21x + 15!
Step-by-step explanation:
Multiply using the distributive property. Hope this helps!
-Lei
The amount of money earned by Alejandro varies directly to the number of hours
worked. Alejandro worked for 12 hours and earned $150. How much money did he
earn if he worked 38 hours?
$474
$475
$150
$100
Answer:
474
Step-by-step explanation:
38/12= 3.16
3.16x150=474
I need help on this lol
Answer:
-62
Step-by-step explanation:
180-w+49(angles on a straight line=180)
angles on a triangle=180
Hence,
180-w+49+w+17+w-4=180
collect the like terms
180+49+17-4+w+w-w=180
242+w=180
Take 180 to the other side and also w
242-180=-w
62=-w same as w=-62
please answer assapapapapppp
someone pls just comment something
Answer:
Eleventeen
Step-by-step explanation:
Answer:
THIRTEEN
Step-by-step explanation:
Can someone please help me with this and if able to explain how I work it out please
Answer:
4 = [tex]\sqrt{15[/tex]
Step-by-step explanation:
Angle G in trapezoid FGHJ measures 135 degrees. Jasmine reflects the trapezoid over the x-axis. What is the measure of the image of angle G?
Answer:
Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)
Step-by-step explanation:
Answer:
angle g is a 2 and fghj is a 1234 ok
5 grams =
centigrams
Answer:
500
Step-by-step explanation:
a centigram is 100 so 5x100=500
Answer:
Its____, you multiply the mass by 100, because its twice as many centigrams-
Step-by-step explanation:
okay so 5grams times 100centigrams is 500centigrams
Theirs your awnser yw
500 is your awnser :)))))hello please help thanks
Answer: 2 one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.
john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month
a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode
Find the perimeter of the figure. I’ll mark brainliest if correct
Answer:
66 ft.
Step-by-step explanation:
Add 9+9+9+9+30 and that equals 66.
What is the diameter of a circle if the circumference is approximately 47.12 ft?
FREE POINTSS
Answer:
94.24 ft and thank you!
Step-by-step explanation:
Answer:94.24ft
Step-by-step explanation:thx :)
Ash began her hike at 1,986 feet above sea level. She then hiked down 2,510 feet decreased her altittude by
another 420 feet and then increased her altitidue by 712 feet. What is Addison's final altitude ?
Vocab: Altitude
means the height of an object or point in relation to sea level or ground level.
Answer:
1986-2510=-524
-524-420=-994
-994+712=-232
final altitude=-232
Step-by-step explanation: