Answer: look at the picture
Step-by-step explanation:
Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
How to find the solution to a standard quadratic equation?Suppose the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its solutions are given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here, we're given the expression:
[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]
The next step to simplify is to make it look more simple.
[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]
Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
Learn more about quadratic equations here:
https://brainly.com/question/3358603
Choose all lengths that are equal to
6 feet 12 inches.
Answer:
Can you show a picture? Or like tell us the options?
What’s another word for average
Answer:
Normal/standard
Step-by-step explanation:
Answer:
Ordinary
Step-by-step explanation:
What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)
Answer:The mean absolute deviation of the set of data is
2.24
.
Step-by-step explanation:
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be
Answer:
Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles
Please help !!!!!!!!!!!!!
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
Can someone please give me this answer to question 3 please
Answer:
kurt
Step-by-step explanation:
The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of the circle is given by the expression
(a2)2+(b2)2+c
a+b+c
(a2)2+(b2)2
c√
Answering actually A
Step-by-step explanation:
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
║( - 5, 3 )║ = √34
please help me i will give a brainliest
Answer:
(8,5)
Step-by-step explanation:
if its a rectangle it must share its x and y values with what is already given
Choose the number equal to:
2/3÷(-3).
A) -2
B)-2/9
C)2/9
D)2
Answer:
B) -2/9
Step-by-step explanation:
2/3 ÷ -3 = 2/3 * 1/-3
2*1 / -3*3
2/-9
-2/9
Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:
Volume of the figure = 10π cubic meters
Step-by-step explanation:
Volume of the right prism like figure = Area of the base × Height
Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]
= [tex]\frac{1}{4}(\pi)(2)^2[/tex]
= π m²
Height of the prism = 10 m
Volume of the prism given in picture = π × 10
= 10π cubic meters
Answer: 10π
Step-by-step explanation:
example of a 400 word essay which choosing a college
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
Find the average of f(x)=x^3-x over [0,2]
9514 1404 393
Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
4. What is the measure of each interior angle of
a regular 20-gon?
Answer:
162
Step-by-step explanation:
Look at the diagram.
What type of angle is angle B?
What type of angle is angle D?
Answer:
B - obtuse
D - acute
Step-by-step explanation:
Answer:
I think angle B is an obtuse angle and D is an acute angle. I'm not sure.
Hope this helps :)
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00
Answer: H. 139.50
Step-by-step explanation:
Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50
Helppppp!!!!!!!!! Plz
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be, to the nearest individual?
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
60 degrees (first option)
Step-by-step explanation:
as a triangle adds up to 180 degrees and it has 3 sides so you divide 180 by 3 and you get 60 degrees which goes for each corner.
if you want to check just times 60 by 3 and you get 180
How many boys are there in an introductory Chinese course if 390 students are enrolled and there are seven boys to every three girls?
holt mcdougal chapter 7 online answer key
Answer:
saan po yung pic hindi kopo maindihan
write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)
Answer:
[tex]x - 2y = -10[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:
[tex]y-8 = \frac{1}{2} (x-6)[/tex]
2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.
[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]
So, the answer is [tex]x - 2y = -10[/tex].