Answer:
x = 6 ± 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² - 12x = 39
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 6)x + 36 = 39 + 36
(x - 6)² = 75 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )
x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form
Answer:
x = 6 ± 5* OR 6 - 5*
Step-by-step explanation:
In decimal form it would be either 14.66025403... or -2.66025403
Hope this helps!
Item 16
Find the perimeter of the figure to the nearest hundredth. due today
Answer:
42.84 cm
Step-by-step explanation:
1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm
2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm
3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Vertex ( ?,?)
y-intercept: ?
Answer:
Step-by-step explanation:
y = (x-1)²
vertex (1,0)
y-intercept = (0-1)² = 1
please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)
Answer:
6.96 is the area of this triangle! So, option A is correct.
Hope this helps and please mark brainliest!
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
What’s the slope of the line I forgot how to do it when it comes to negative ones :((!!
Help nnananannanannanananannannanansnnsnsnnsnsnsnsnnsns
Answer:
2
Step-by-step explanation:
The two x's end up being -4 and 6, so added together that's 2
Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?
Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?
Answer:
$15.20
Step-by-step explanation:
When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.
56.80 + 19.20 = 76
76 ÷ 5 = 15.20
Thus the mean cost is $15.20
Hope this helped!
the pounds p of the flour and how many cakes c you can make
Answer:
How many pounds of flour do you have and how many pounds of flour it takes to make a cake?
Step-by-step explanation:
The diameter of a circle is 3 meters. What is the circumference?
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
Someone please explain how you got the answer please and thank you
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp
Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?
the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y
Answer:
A
Step-by-step explanation:
Length : [tex]\frac{7x}{2} + 7y[/tex]
Perimeter: [tex]15x + 17y[/tex]
Perimeter = 2(Length + Width)
15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)
15x + 17y = 7x + 14y + 2(Width)
15x + 17y -7x -14y = 2(Width)
8x + 3y = 2(Width)
Width = [tex]\frac{8x + 3y}{2}[/tex]
Width = 4x + 3y/2
Easy Points! whats 2+2?
Answer:
4
Step-by-step explanation:
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
What is 0.11 / 22.77
Answer:
is your answer
0.00483091
Step-by-step explanation:
The expression (x^3) (x12) is equivalent to x^n. What is the value of n?
3 and n are exponents
Answer:
Step-by-step explanation:
(x^3) (12x)
(x^4)(12)
12x^4
We can really find the exponent without knowing what x is equal to but I hope this helps
What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
Geometry!! Will give brainliest
it's the second one.
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?
The age of a first-grader on September 1 at Garden Elementary School has the following distribution: f (x )space equals space 1 comma space space 5.8 less or equal than x less or equal than 6.8 We randomly select one first-grader from the class. Find the probability that she is over 6.5 years old. Round to one decimal place.
Answer:
lol
Step-by-step explanation:
lol
Is this a rational number
Answer:
Note that it is not a perfectly elastic result so it is irrational
The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.
984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004
Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014
Answer:
Kindly check attached picture ;
(999.494 ; 1046.056) ;
(1003.235 ; 1042.315)
Step-by-step explanation:
Given the data:
888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260
Using calculator to obtain the mean and standard deviation :
Mean, x = 1022.775
Standard deviation, s = 75.124
Sample size, n = 40
Zcritical at 95% = 1.96
Zcritical at 90% = 1.645
Using the relation :
x ± E
E = error margin = Zcritical * s / sqrt(n)
At 95% ;
Error margin = 1.96 * 75.124/ sqrt(40) = 23.281
At 90% ;
Error margin = 1.645 * 75.124/ sqrt(40) = 19.540
Confidence interval at 95%:
(1022.775 - 23.281) ;(1022.775 + 23.281)
(999.494 ; 1046.056)
Confidence interval at 90%:
(1022.775 - 19.540) ;(1022.775 + 19.540)
(1003.235 ; 1042.315)
PLEASE HELP ME ITS URGENT ❗❗❗❗❗❗❗❗❗❗❗
Answer: W is your answer :)
Step-by-step explanation:
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answer:
dfffffdf
Step-by-step explanation:
Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?
Answer:
108 sq cm
Step-by-step explanation:
18x12 = 216
216/2 = 108
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
6/6
Step-by-step explanation:
Answer: slope = (6,6)
Step-by-step explanation:
choose all answers that apply
Answer:
none of the above
Step-by-step explanation:
An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.