Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=
Answer:
s ≈ - 1.9 , s ≈ 11.9
Step-by-step explanation:
s² - 10s - 23 = 0 ( add 23 to both sides )
s² - 10s = 23
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 5)s + 25 = 23 + 25
(s - 5)² = 48 ( take square root of both sides )
s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )
s = 5 ± [tex]\sqrt{48}[/tex]
Then
s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution
s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution
Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
The detailed answer is there in the image I have attached.
Hope it helps you....
Please mark as Brainlliest!!!!
Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values
[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC
if you add 5 to me then divide 7, and add 12 then subtract 7 you get 10 what number am i
Answer:
hii the answer is 30 :D have a nice day
i dont even think i'm right but ok
didn't you just say you got the number 10? i'm guessing the number is 10
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%
I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%
I am very sorry if this is wrong in anyway!
Answer:
the answer is 23%
Step-by-step explanation:
i used a percent increase calc... was too lazy to do the work haha
I need help on number three pls help
Answer:
(1/2)n
Step-by-step explanation:
I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
I got this problem solved so I no longer need help
Answer:
then whats the point
Step-by-step explanation:
in the inequality 4> -4 which number appears farther right on a number line and why?
Answer:
4
Step-by-step explanation:
It is a positive number meanwhile -4 in negative.
what is 1 1/5 x 2 3/4
What are the coordinates of the vertex for the function shown below ?
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
answer please answer please
Step-by-step explanation:
angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.
the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.
similarly, the angle AEB is 180 - 4x.
and then we know the sum of all angles in a triangle is airways 180 degrees.
so,
180 = 2x + 180 - 4x + 180 - 6x
0 = 180 - 8x
8x = 180
x = 22.5
solve pls brainliest
The answer for a is +2.
The answer for b is +256.
Find the area of the yellow region.
Round to the nearest tenth.
Answer:
13.7 cm square
Step-by-step explanation:
Here we see that the square has an area of 8x8= 64 centimeters square. We want to subtract the area of the white part from 64 to find the area of the yellow region. If we were to put the white parts together it would create a circle, so we need to find the area of the circle and then subtract it from 64. The circle would have a radius of one half the length of the square, which would be 4 cm. Area equals pi times radius squared so the area would be 50.27 cm square. 64-50.27= 13.7 cm square
Apply the distributive property to create an equivalent expression.
(3−8y)⋅(−2.5)=
Answer:
-7.5+20y
Step-by-step explanation:
To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.
First, multiply 3 and -2.5 to get -7.5
Then, multiply -8y and -2.5 to get 20y.
Finally, add these values together
The x intercept of the inequality y > 12 - 3x is (a, 0) What is the value of a? (100 points)
Answer:
a > 4
Step-by-step explanation:
y > 12 - 3x, given the points(a, 0)
We just have to substitute the point of x and y
=> 0 > 12 - 3a
=> - 12 > - 3a,
divide both sides by the coefficient of a
=> - 12/-3 < a
Therefore a > 4
How much would it cost to buy three medium sodas and two hotdogs
Answer:
depends how much they cost each
Can anyone help me? asap if possible
Answer:
B) CD
Step-by-step explanation:
Perpendicular means a line that bisects the other at 90°.
In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.
In this case, B) CD is your answer, as it is the only one that shows up (AB does not).
~
Answer:
segment CD
Step-by-step explanation:
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
Hope it help and if it its correct please give brainliest
Stay Safe and healthy
Thank You
16 is equal to the difference of twice a number p and 8.
Solve the given equation for x.
2x-B=10
Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
The higher the negative number the lower it really is.
Answer:
-4.5, -.5, .3, .7,2.3
Step-by-step explanation:
Can someone plz help with this
Answer:
hexagonal prism
Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
Please help me with this math problem!! :)
The theater manager needs to set up 54 chairs for a show each row can be holed up to eight chairs the manager puts as many chairs in each row as possible how many rolls will the manager set up
Answer:
7 not 7 full rows though
Step-by-step explanation:
What is the slope-intercept form 10x-7y=-8
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
10x - 7y = -8
-7y = - 10x - 8
Divide the equation by (-7)
[tex]\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}[/tex]
A family buys a studio apartment for 120,000. They pay down payment of 18,000.
A. Their down payment is what percent of the purchase price?
B. What percent of the purchase price would a 48,000 down payment be?
Answer:
EZ
Step-by-step explanation:
A. 15 Percent
B. 40 Percent
Answer:
A) 15% B) 40%
Step-by-step explanation:
What is the height of the flagpole?
Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.
The equation to represent the height of the apple at a given time is h=−16t2+154,
where h is the height of the apple, and t is the number of seconds after the apple is dropped.
How many seconds (t) will it take for the apple to hit the ground (h = 0)?
[Find the value of t, rounded to the nearest tenth.]
Answer:
3.1 sec.
Step-by-step explanation:
Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25
If there were no other transaction, what was the balance in Mary's account at the end of the month?
Answer:
The balance in Mary's account at the end of the month is $14.09
Step-by-step explanation:
Step 1: 50+25.62=75.62
Step 2: 75.62+19.76=95.38
Step 3: 95.38-56.29=39.09
Step 4: 39.09-25= $14.09