Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s? - 8s - 4 = 0
-
s = [?]
Answers
Answer:
s ≈ - 0.5 , s ≈ 8.5
Step-by-step explanation:
s² - 8s - 4 = 0 ( add 4 to both sides )
s² - 8s = 4
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 4)s + 16 = 4 + 16
(s - 4)² = 20 ( take square root of both sides )
s - 4 = ± [tex]\sqrt{20}[/tex] ( add 4 to both sides )
s = 4 ± [tex]\sqrt{20}[/tex]
Then
s = 4 - [tex]\sqrt{20}[/tex] ≈ - 0.5 ( to the nearest tenth ) ← smaller solution
s = 4 + [tex]\sqrt{20}[/tex] ≈ 8.5 ( to the nearest tenth ) ← larger solution
Related Questions
Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.
What are the dimensions of the garden that Ricky Bobby made?
How much area was there inside the garden?
If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?
Helpp I don’t get this
Answers
Answer:
5.6 by 19.4
108.64 ft²
21 pumpkins
Step-by-step explanation:
Set length of shorter side as x. Then, the longer side is 4x - 3
He used 50 feet of board, which means, using the formula for perimeter:
x + 4x - 3 + x + 4x - 3 = 50
Simplify and solve.
10x - 6 = 50
10x = 56
x = 5.6
Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4
This means the dimensions of the garden are: 5.6 by 19.4
Area = length times width, so the area is 108.64 ft²
The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728
Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.
20 pts But help me with this problem.
Answers
Answer:
You put 10 pts by accident lol.
Find the perimeter. Simplify your answer.
Answers
Answer:
4s + 2
Step-by-step explanation:
The way we find the perimeter is we add up all the sides
s+1 + s + s+1 + s
Now we add up light terms and we get 4s+2 as our answer
Answer:
4s+2
Step-by-step explanation:
For perimeter we just have to add up all the sides.
So the equation would look like this:
s + s + (s+1) + (s+1)
There are 4 s variables and 1+1=2
So this can be simplified into :
4s+2
Hope this helps!
(Pls mark as brainiest)
Thanks!
For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answers
Answer:
can u take pic again?
Step-by-step explanation:
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!!! i will give brainliest.
Answers
Answer:
hope it helps
Step-by-step explanation:
[tex]\\ \sf\longmapsto y+4=2y-15[/tex]
[tex]\\ \sf\longmapsto 2y-y=19[/tex]
[tex]\\ \sf\longmapsto y=19[/tex]
m<K=23°m<N=23°[tex]\\ \sf\longmapsto 2x-3=5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PM=5Diagram attached
Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1
Answers
Answer: The slope is 1/2 or 0.5
Help ME ASAP
Zach solved the problem 124.8 / 24 = 5. Complete the following model with partial products to check Zach’s work with multiplication.
Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.
{ 0.4 }
{ 0.8 }
{ 2 }
{ 4 }
{ 8 }
{ 10 }
{ 20 }
{ 100 }
The product for A=
The product for B =
The product for C =
The product for D =
Part B
Choose the words to complete the statement
Zach's work is ______
because the total of the partial products is _______ as the dividend.
Answers
The partial products in Zach's work are the result of multiplying each digit
in turn based on their place values.
The given problem is [tex]\dfrac{124.8}{24} = 5[/tex]
Part A
The values to be placed in the boxes are presented as follows;
[tex]\begin{array}{|c|c|c|}&5&0.2\\&&\\20&\underline{100}&\underline{4}\\&&\\4&\underline{20}&\underline{0.8}\end{array}\right][/tex]
The total of the partial product is 100 + 20 + 4 + 0.8 = 124.8 = The dividend
Part B
The completed statement is; Zach's work is correct because the total of
the partial product is the same as the dividend.
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there are 549 coins in a bottle. 1/3 of the coins are £1 coins. 164 of the coins are 50p coins. the rest are 20p coins. work out the total value of the 549 coins in pounds
Answers
Answer:
£ 305.4
Step-by-step explanation:
[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]
Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?
Can you guys plz answer this???
Answers
Answer:
Required wall to be painted: 24.5 m²Step-by-step explanation:
Wall dimensions: 6 m x 5 m
=> Wall dimensions: 30 m²
Area of window: 0.5 x 2
=> Area of window: 1 m²
Area of door: 3 m × 1.5 m
=> 4.5 m²
Required wall to be painted: 30 - 1 - 4.5
=> Required wall to be painted: 24.5 m²
Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.
In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?
Answers
Answer:
D 20cos55º
Step-by-step explanation:
cos = adj/hyp
cos55 = adj/20
20cos55 = adj
Is this relation a function? Justify your answer. a 10 av DOO 4 3 - NA 1 2 3 4 5 6 7 8 9 10 A. Yes, because every x- and y value is positive. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same x-value have different y values. D. No, because two points with the same y-value have different x- values.
Answers
Answer:
The answer is C
Step-by-step explanation:
What is an equation of the line that passes through the points (-6, -5) and (-3, 0)?
Answers
Answer:
Y=5
Step-by-step explanation:
Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].
The numerical value of the mean voltage in the circuit is
Answers
The numerical value of the mean voltage is 25.47 V
To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]
So,
[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]
V ≅ 25.47 V
So, the numerical value of the mean voltage is 25.47 V
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Help me pleaseeeeeeeeereere
Answers
Answer:
£3.9
Step-by-step explanation:
Philip went to the shop with £9.60
spent £5.70
Money left = £9.60 -£ 5.70
=£3.9
Hence,
He came home with £3.9
£3.9
Step by step explanation:
£9.60-
£5.70=
————
£3.9 (the remaining money)
Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.
Answers
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer:
2 friends
Step-by-step explanation:
20< 7.75(x) you have to have a less number than the total
Here is a linear sequence.
4 11 18 25
Work out an expression for the nth term.
Answers
Answer:
7n-3
Step-by-step explanation:
You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.
Please see help, please
Answers
Answer:
69
Step-by-step explanation:
420
About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.
Answers
Answer:
200
Step-by-step explanation:
So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400
slope of a line perpendicular to the line whose equation is 6x+4y=−56, fully reduced
Answers
Answer: Answer
1.0/5
1
angelinagalindo127
Ambitious
40 answers
2.2K people helped
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step
Step-by-step explanation: |\ /|
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/. .\
=\_Y_/=
{>o<}
i need to know the answer to number one
Answers
Answer:
If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)
Step-by-step explanation:
Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)
SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?
Answers
Answer:
52$
Step-by-step explanation:
13 (75% off) so 13 is 1/4 the price.
13x4 = 52
6(x + 7.50) = 4(2x + 9.50), what is the value of x?
Answers
Answer:
x=3.50
Step-by-step explanation:
6(x+7.50)=4(2x+9.50)
6x+45=8x+38
6x-8x=38-45
-2x = -7
x = -7/-2
x = 3.50
the k the term is 1199/1200. What's k.
Answers
Answer:
could I get a picture plz
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.
Answers
Answer: Number of weeks
Step-by-step explanation:
Just did it on Ed
PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.
Answers
Step-by-step explanation:
Given function:
f(x) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answers
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct
Answers
he would have to practice 20 minutes on friday
18 + 23 + 16 + 13 = 70
1.5 hours = 90 minutes
90-70 = 20 minutes
2/9
find the measure indicated angle that makes lines u and v parallel
Answers
Answer:
91°
Step-by-step explanation:
The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:
180°=x+89°
x=180°-89°
x=91°.
Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answers
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(
Answers
The reflection of the triangle JKL across the line x = 4 is equivalent to
equivalent to flipping the preimage across the line x = 4.
The correct coordinates are;
[tex]\underline{J'(7, \, -1)}[/tex]
[tex]\underline{K'(6, \, 3)}[/tex]
[tex]\underline{L'(5, -2)}[/tex]
Reasons:
The given transformation is a reflection about the line x = 4
The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4
The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3
Which gives;
Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7
Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]
Similarly, we have;
Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6
The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]
Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6
The coordinate of the point L' is [tex]\underline{L'(5, -2)}[/tex]
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