We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
If you want to read more, you can see:
https://brainly.com/question/12040665
Simplyfy.
5x^3y^4(6xy^-1)^2
Answer: 180x5y2
Hope this helps!
Answer:
[tex]180x^5y^2[/tex]
Step-by-step explanation:
[tex]5x^3y^4(6xy^-^1)^2\\5x^3y^4(6^2x^2y^-^1^(^2^))\\5x^3y^4(36x^2y^-^2)\\180x^5y^2[/tex]
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.
what is the value of x ?
Answer:
35
Step-by-step explanation:
it's the same value each side
Which plane geometry has countless symmetry axis ? (except for circle)
Sorry if there are some grammatical mistakes in my question because English isn't my first language. Thank you very much !
Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.
The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.
The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.
The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,
y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a
Learn more at https://brainly.com/question/24375722
SIMPLIFY.
6y^3(3 + 4y^2)
Answer:
18y^3 + 24y^5.
Step-by-step explanation:
6y^3(3 + 4y^2)
= 6*3 y^3 + 6*4 y^(3+2)
= 18y^3 + 24y^5.
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
Consider a triangle ABC like the one below. Suppose that a=51, b=16, and A=108. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".
Answer:
B = 17.4°
C = 54.6°
c=43.7
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)
Answer:
answer B: (2,-2)
Step-by-step explanation:
First, write the equations on top of each other:
[tex]3x+2y=2\\2x-y=6[/tex]
Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:
[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]
Next, use elimination to find the value of "x":
[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]
So, your x-value is 2.
Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:
[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]
Your y-value is -2.
With all your information gathered, you find that the solution to this system of equation is (2,-2).
Is student is reading a book about 370 words per minute convert this rate to words per hour
Answer: 22,200 words per hour.
Step-by-step explanation:
You can set up a proportion for this: 370 words/per 1 min= x words/ per 60 mins. Cross multiply and you get 22,200=1x which basically equals to 22,200 words per hour or 60 mins.
Is this a function or no ?
solve 3(11)× =3,993 for x
Hi there! :)
Answer:
[tex]\huge\boxed{x = 3}[/tex]
Given the equation:
[tex]3(11)^{x} = 3993[/tex]
Divide both sides by 3:
[tex](11)^{x} = 1331[/tex]
Rewrite both sides of the equation with a base of 11.
[tex]1331 = 11^{3}[/tex], therefore:
[tex](11)^{x} = 11^{3}[/tex]
x = 3.
Answer:
121
Step-by-step explanation:
121 x 33 = 3993
Ken said that he is going to reduce the number of calories that he eats during the day. Ken's trainer asked him to start off small and reduce the number of calories by no more than 7%.
Answer:
Ok, this question seems incomplete, so i will answer it in a general way.
Suppose that regularly, Ken eats A calories during the day. (A is a positive number)
Now, Ken wants to reduce this number, but his nutritionist tells him to reduce no more than 7% (So the max reduction possible is a reduction of the 7%).
So after the reduction, Ken eats C calories per day.
First, the maximum reduction that Ken can do is when he reduces exactly 7% of the calories.
So if he regularly consumes A calories, the reduction will be of
(7%/100%)*A = 0.07*A
So after the reduction, the amount of calories that he consumes per day is:
C = A - 0.07*A = A*(1 - 0.07) = A*0.93
But this is the minimum amount of calories that he can consume, the actual range of possible options will be:
A < C ≤ A*0.97.
C is strictly smaller than A because we must have a reduction in the number of calories.
Those values of C is all the posible amounts of calories that Ken eats per day after the initial reduction in the number of calories per day.
convert 123 into quinary number .
To convert decimal number 123 to quinary, follow these steps:
1. Divide 123 by 5 keeping notice of the quotient and the remainder.
2.Continue dividing the quotient by 5 until you get a quotient of zero.
3. Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 123.
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
hope you you are succes in this question ❓❓
Answer:
Yes bro I can sove this question
Step-by-step explanation:
Please mark me brainliest thanks
Craig has five weeks to read an 850-page book.
How many pages must Craig read each week to
complete the book before the deadline?
Answer:
170 pages.
Step-by-step explanation:
Craig has to read 850 pages in 5 weeks. If we set up a proportion, we have...
[tex]\frac{850 pages}{5 weeks} =\frac{x pages}{1 week}[/tex]
5x = 850
x = 850 / 5
x = 170 pages.
Hope this helps!
The number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
We have,
Craig has five weeks to read an 850-page book.
We need to find the number of pages Craig must read each week to finish the book before the deadline.
We have,
Craig has five weeks to read an 850-page book.
We can write it as:
5 weeks = 850 pages
We have to find the number of pages in a week.
5 weeks = 850 pages
Dividing both sides by 5.
We get,
5 / 5 weeks = 850 / 5 pages.
1 week = 170 pages.
Thus the number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
Learn more about division here:
https://brainly.com/question/15381501
#SPJ5
If y=29,find x
y=(x+2)(x-2)
Please show working
Answer:
x=±sqrt (33)
Step-by-step explanation:
y=(x+2)(x-2)
29=x^2-4. x^2=33, x=±sqrt (33)
Answer:
[tex]\sqrt{33}[/tex]
Step-by-step explanation:
y = (x+2) (x-2)
y = [tex]x^{2}[/tex] +2x -2x-4
y = [tex]x^{2}[/tex] - 4
29 = [tex]x^{2}[/tex] - 4
29 + 4 = [tex]x^{2}[/tex] -4 + 4
33 = [tex]x^{2}[/tex]
[tex]\sqrt{33}[/tex] = x
Hope this is clear and you can understand it. :)
I REALLY NEED HELP PLEASE HELP ME :(
Answer:
I may be wrong but I think 8 is your answer.
Step-by-step explanation:
(-1)^(3/7) x 128^(3/7)
-1 x 128^3/7
128^(3/7) = 8
= 8
The constant value which is multiplied by each term in a geometric sequence to obtain the next term.
Answer: Geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio.
Step-by-step explanation:
Answer:
NOSEE EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Please help I was asigned this for how and I am stuck
Answer:
-0.555
Step-by-step explanation:
-2/3÷12
=-2/3÷12×3/1×3
=-2/3÷36/3
=-2/3×3/36
=-2/36
=-0.0555
I got this answer but don't know how did you got -8?!
Lines CD and DE are tangent to circle A shown below: If Arc CE is 112°, what is the measure of ∠CDE? a 124° b 136° c 68° d 56°
Answer:
C
Step-by-step explanation:
The central angle of this is 112 degrees. That is CAE is 112 degrees. That being the case, CDE is 90 + 90 + 112 = 292 Tangents make a 90 degree angle with the center of the circle.
CDE = 360 - 292 = 68
C
The measure of ∠CDE is 68degrees
This question bothers on circle geometry;
From the diagram, we can see that ACDE will form a quadrilateral. Since the sum of angles of a quadrilateral is 360degrees, hence;
[tex]<CDE + arcCE+<C+<E=360[/tex]
From the diagram, since CD and DE are both tangential to the circle at point C and E, this shows that <E = <E = 90°
substituting the given values in the formula;
[tex]<CDE+112+90+90=360\\<CDE + 292=360\\<CDE=360-292\\<CDE =68^0[/tex]
Hence the measure of ∠CDE is 68 degrees
Learn more on circle geometry: https://brainly.com/question/24357871
Where did term “infinity” come from
write 1042000 000 m+ in scientific notification
Answer:
1.042 × 109
Step-by-step explanation:
you have to move the decimal from the zero.
can you solve;
3/7+5/21
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{9}{21}+\frac{5}{21}[/tex]
[tex]= \frac{9 + 5}{21}[/tex]
[tex]= \frac{14}{21}[/tex]
[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)
Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
In the figure, m_2 = 75. Find the measures of the
remaining angles.
PA
Х
1/2
4/3
-m
5/6
8/7
-N
Answer:
Step-by-step explanation:
If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.
Tuesday 8 hours and 18 hours minutes Wednesday 7 hours and 54 minutes how many hours did Brett work in total this week
Answer:
(if you just add them together), it is 16 hours and 12 minutes
Step-by-step explanation:
8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.
write each of the following expressions without using absolute value. |x-1| of x>1
Answer:
x-1 when x>1
Step-by-step explanation:
|x-1| when x>1
If x is greater than 1 than x-1 will always be greater than 0
|x-1| can be rewritten as x-1
Please help me!!! It is urgent. I added 2 more points to this, so please help!
Find x.
A. 11√42/2
B. 22√7
C. 11√42
D. 22v42/3
If it takes 2 whole cups of chocolate chips to make 100 cookies, how many cups of chocolate chips do you need to make 25 cookies?
Answer:
1/2 cup
Step-by-step explanation:
We can use ratios to solve
2 cups x cups
--------------- = ----------------
100 cookies 25 cookies
Using cross products
2 *25 = 100x
50 = 100x
Divide by 100
50/100 = x
1/2 = x
15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.
Answer:
10 menStep-by-step explanation:
Amount of work done by 15 men is:
15 men *25 day = 15*25 man*daysSame work can be done by 25 men, in 15 days, so 10 more men should be added.