Answer: 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
8^2 + 8^2 = c^2
64 + 64 = c^2
128=c^2
[tex]\sqrt{128}[/tex]
[tex]\sqrt{4 * 32}[/tex]
2[tex]\sqrt{4 * 8 }[/tex]
2* 2 [tex]\sqrt{4 * 2}[/tex]
4 * 2[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
what is the middle product of (-2x+1)(-3-5)?
Answer:
7x
Step-by-step explanation:
Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
What is the slope of the line y = 3?
Which values are equivalent to the fraction below? 6^7/6^5
Answer:
36
Step-by-step explanation:
Because the bases are the same we can just subtract the exponents to get us 6² or 36.
a.
If f(x) = 25 - xand g(x) = 5 - , which is the rule of function (8 + 9)(x)?
-x2 + x+ 20
5 + x
x? - 5x2 - 25x + 125
--X2 - x + 30
b.
C.
d.
Please select the best answer from the choices provided
Answer:
The answer is D.
Step-by-step explanation:
You have to add both functions together :
[tex]f(x) = 25 - {x}^{2} [/tex]
[tex]g(x) = 5 - x[/tex]
[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]
[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]
[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]
A new restaurant opens, and on the first night has 100 guests. Each night after that, the number of guests grows by 20 people. What type of sequence does this scenario represent, and why? If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
What type of sequence does this scenario represent, and why?
✔ arithmetic; the sequence has a common difference
If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
✔ 360
This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
Calculate arithmetic sequence nth term?Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."
An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
an = 100 + (14 - 1)20.
an = 360
The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
To learn more about Arithmetic sequences nth term refer to:
https://brainly.com/question/7882626
#SPJ2
find the length of each side of a square field whose area is 608 sq.m
Answer:
a=24.65 sq.m
Step-by-step explanation:
A=[tex]a^{2} or l^{2}[/tex]
608=[tex]a^{2}[/tex]
[tex]a=\sqrt{608}[/tex]
[tex]a=24.65[/tex]
To check your answer
[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]
Estimate the measure of ∠DBC.
Could someone please help me with this?
Answer:
Option (4). 135°
Step-by-step explanation:
From the figure attached,
Two pair of vertical angles have been given,
∠ABD and ∠CBE
∠ABE and ∠CBD
One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.
Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.
Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.
Option (4) will be the answer.
Factor. m² + 10m + 25
(m + 5)(m - 5)
(m + 5)²
(m - 5)²
(m + 25)²
Answer:
[tex]\left(m+5\right)^2[/tex]
Step-by-step explanation:
[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]
How does the size of a bar magnet's magnetic field compare to that of Earth's? A. A bar magnet's magnetic field is larger than Earth's. B. A bar magnet's magnetic field is smaller than Earth's. C. A bar magnet's magnetic field is the same size as Earth's.
Answer:
A. A bar magnet’s magnetic field is larger than Earth’s.
Step-by-step explanation:
The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.
Attachment Mathswatchhhh!!!!!!!!! answer only no explanation
Answer:
y= -7/-4/-1/2/5/8
Step-by-step explanation:
Answer:
-7, -1, 8
Step-by-step explanation:
substitute the numbers in the equation given:
1) y=3x-1
y=3(-2) -1
y=-6 -1
y=-7
2)y=3x-1
y=3(0) -1
y=0-1
y=-1
3) y=3x-1
y=3(3) -1
y=9-1
y=8
Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet
Answer:
80 feet
Step-by-step explanation:
The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.
Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.
Answer:
c
Step-by-step explanation:
edge2020
What is the area, in yards, of
a box thats 38 feet wide by
15 feet
long?
Answer:
570
step-by-step explanation:
assuming you're talking about a 2-dimensional rectangle,
Area = base x height
base = 38
width = 15
Area = 38 * 15
Area = 570 ft
570ft * (1 yard/3ft) = 190 yards
Answer:
190 yards
Step-by-step explanation:
area= length*width
area= 15*38
area= 570 feet
feet/3= yards
570/3= 190 yards
hope this helps!
From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answer:
It is expected to be at a distance of 200 ft below the sea level
Step-by-step explanation:
We are told that the sub marine has a descending rate of 40 ft per minute.
Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft
Thus, the submarine is expected to be 200ft below sea level
Find a solution for the equation y = 4x - 3.
Answer:
y=1
Step-by-step explanation
the x is like a imaginary 1 so 4*x=4-3=1
F
D
80°
E
B
160
G
NOTE: Angles not necessarily drawn to scale.
2=
PLEASE HELPPP!!!
Answer:
[tex] \boxed{x\degree = 80\degree} [/tex]
Step-by-step explanation:
Vertically opposite angles are equal.
[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]
Answer:
80°
Step-by-step explanation:
Look at the picture* *
Need help with this problem
Answer:
Start at the top. Place the numbers below it in a triangular pattern. Each number is the added numbers directly above it.
Step-by-step explanation:
Start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.
The horizontal sum's double each time.
Please answer correctly !!!!!! Will mark brainliest Answer !!!!!!!!!!!
Answer:
45 meters
Step-by-step explanation:
graph the equation and find the y-intercept
HELP!!!! Position and label the triangle on the coordinate plane
Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
In need of help PLEASE!!!!
Answer:
a bc I think it's right idk really
Step-by-step explanation:
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Una escalera está apoyada sobre una pared a 4,33 m de altura y forma con el piso un ángulo de 60°. a) Calcula el largo de la escalera. b) Si el punto B correspondiera a (5,0) y el punto a correspondiera a (0,7). Halla la ecuación de la recta que pasa por los dos puntos, es decir la escalera.
Answer:
a) 5,00 m
b) y = - (7/5)x + 7
Step-by-step explanation:
The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).
a) To find the length of stairs you use the following trigonometric relation:
[tex]sin\theta=\frac{h}{l_s}[/tex] (1)
h: height in which the stairs touch the wall = 4,33 m
ls: length of the stairs
θ: angle between ground and stairs = 60°
You solve the equation (1) for ls:
[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]
b) The line equation is given by:
[tex]y-y_o=m(x-x_o)[/tex] (2)
Firs, you calculate the slope by using the equation (2):
[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]
Next, you use one of the point, say B, an you replace this points for yo and xo:
[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]
what is the slope-intercept equation for the line below
Answer:
A
Step-by-step explanation:
If I'm completely honest I'm not really sure of this cause I hv another way of doing this...
,
Can someone help me please??
Answer:
B.
Step-by-step explanation:
It's just y = 2x because if you look the y is two times the x.
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B - The correct answer is graph B
Step-by-step explanation:
Answer:
the correct choice is graph B. (see attachment below)
A car was bought a year ago for £1875. It is now worth £1335. By what percentage has the car depreciated in value? (round to 1 decimal place)
Answer:
28.8%
Step-by-step explanation:
1875 - 1335 = 540
[tex]\frac{540}{1875}[/tex] x 100% = 28.8%
What is the next term in the following set of numbers: {1,3,7,15,31,...? a. 63 b. 47 c. 39 d. 35 e. Other:
Answer:
[tex]63[/tex]
Step-by-step explanation:
[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]
The explicit formula for a particular arithmetic
sequence is an = 8 + (n - 1)3, with n > 1
What are the first three terms?
ai -
11
az
a3 =
Answer:
8, 11, 14
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 8 + (n - 1)3 , then
a₁ = 8 and d = 3 , thus
a₂ = 8 + 3 = 11
a₃ = 11 + 3 = 14
The first 3 terms are 8, 11, 14
Answer:
8
11
14
THAT IS THE ANSWER TO THE QUESTION
Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.
In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.
In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all of the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-int
c. (if possible) anything you can learn by considering symmetry and transformations.
1a. p(x)- 2x^4-3x^3-6x^2+5x+6
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Been a while since I've done synthetic division.
1a. Let's assume that's supposed to be an equals sign
p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6
possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.
Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6
Factors of 2: 1,2
Possible rational roots:
(dividing by 1:) 1,-1,2,-2,3,-3,6,-6
(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2
Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2
Synthetic division, trying x=1,
1 | 2 -3 -6 5 6
2 -1 -7 -2
2 -1 -7 -2 4
Got a remainder of 4, so 1 isn't a root;
Trying x=-1
-1 | 2 -3 -6 5 6
-2 5 1 -6
2 -5 -1 6 0
Zero remainder, found a root, x=-1. This division says
(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6
Same set of rational roots on the cubic, we continue with x=2
2 | 2 -5 -1 6
4 -2 -6
2 -1 -3 0
Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as
(2x - 3)(x + 1) = 0
That's a second factor of x+1. Our final factorization is
2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)
Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.
I'll leave the actually sketching and the other two polynomials to you -- that took some time.