y² - 11y + 21.25 = 0
Answers
Answer:
y=17/2 y=5/2
Step-by-step explanation:
...................
Answer:
[tex]y^{2}[/tex]-11y= -21.25
Factorize the expression [tex]y^{2}[/tex]-11y
y(y-11)= -21.25
Eliminate (y-11)by dividing it over (y-11)
[tex]\frac{y (y-11)}{(y-11)}[/tex] = [tex]\frac{-21.25}{(y-11)}[/tex]
Final answer;
y=[tex]\frac{-21.25}{(y-11)}[/tex]
Related Questions
A line contains L(-4, -4) and M(2,3). Line q is in the same coordinate plane but does not intersect LM. Line q contains point N.
Answers
A general line equation can be written as:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that for N(x₁, y₁), the line q is:
[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]
If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:
[tex]a = \frac{3 - (-4)}{2 - (-4)} = \frac{7}{6}[/tex]
So the line is something like:
[tex]y = \frac{7}{6} *x + b[/tex]
To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:
[tex]3 = \frac{7}{6}*2 + b\\\\3 = \frac{7}{3} + b\\\\3 - \frac{7}{3} = b = 2/3[/tex]
Then the line LM is;
[tex]y = \frac{7}{6}*x + \frac{2}{3}[/tex]
Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.
Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)
Then line q will be:
[tex]y = \frac{7}{6}*x + c[/tex]
To find the value of c we use the point N.
[tex]y_1 = \frac{7}{6}*x_1 + c\\\\y_1 - \frac{7}{6}*x_1 = c[/tex]
Then the equation of line q is:
[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]
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Multiply (x + 1)(x + 3)
Answers
Answer:
x² + 4x + 3
Step-by-step explanation:
(x + 1)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 3) + 1 (x + 3) ← distribute parenthesis
= x² + 3x + x + 3 ← collect like terms
= x² + 4x + 3
Answer:
it's the answer ...
hope your day will be happy
and the last add 3x+x = 4x
pls answer my question
Answers
Answer:
a=1,2,4,5,6,7
b=1,7
c=2,5
d=4,6
HCF of 32,48,64 is 16
Tom bought $81 worth of milk. The price of a bottle of Brand A milk was $1.50 and of Brand B milk was $2.10. He bought 40 bottles of Brand A milk. How many bottles of Brand B milk did he buy?
Answers
I need some help solving this.
6÷2(1+2)
Answers
Answer:
it is 1
Step-by-step explanation:
brainliest?
Answer:
9
Step-by-step explanation:
According to the BODMAS
Bracket first, division second, multiplication third
Plz help this is important
Answers
Answer:
(0,-5)
Step-by-step explanation:
To find midpoint the formula is
([tex]\frac{x1+x2}{2}[/tex] , [tex]\frac{y1+y2}{2}[/tex])
So plug in the numbers
([tex]\frac{2+(-2)}{2}[/tex], [tex]\frac{-1+(-9)}{2}[/tex]) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-10}{2}[/tex])
Simplify it and it equals (0,-5)
At 4:00 a.m., the temperature was -9°F. At noon, the temperature was 18°F. What
was the change in temperature??
help me pls :\
Answers
Simplify: (14^6*15^5)/(35^6*6^5)
Answers
Answer:
2/5
Step-by-step explanation:
=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5
=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)
=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5
=2/5
The simplified expression of (14^6*15^5)/(35^6*6^5) is 2/5
How to simplify the expression?The expression is given as:
(14^6*15^5)/(35^6*6^5)
Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7
[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]
Expand the expression
[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]
Divide the common factors
[tex]\frac{2}{5 }[/tex]
Rewrite as:
2/5
Hence, the simplified expression of (14^6*15^5)/(35^6*6^5) is 2/5
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If f(x) = 9^x , them prove that : f(m+n+p) = f(m) × f(n) × f(p) .
Answers
Answer:
f(m+n+p) = 9^(m+n+p)
while f(m) × f(n) × f(p) = 9^m+9^n+9^p = 9^(m+n+p)
so the second property explains why it's a + instead of ×
What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -1/2
Answers
9514 1404 393
Answer:
y +8 = -1/2(x -4)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Your line has a slope of -1/2 and goes through point (4, -8). Its equation is ...
y +8 = -1/2(x -4)
_____
In slope-intercept form, this is ...
y = -1/2x -6
In standard form, it is ...
x +2y = -12
Its line segment please help
Answers
Step-by-step explanation:
[tex]here \: c \: is \: the \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: to \: gather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} = 13 \\ \\ thank \: you[/tex]
A) 10/10
B) 5/5
C) 1/1
D) 2/2
E) 8/8
Answers
Answer:
B) 5/5
Step-by-step explanation:
5/10 ÷x = 1/2
Divide the top and bottom by 5/5
5/10 ÷ 5/5 = =1/2
Answer:
D 2/2
Step-by-step explanation:
Will Mark Brainliest
A couple is getting married. The event venue for their reception costs $3000 plus $20 per guest for catering. Decorations will cost $750. If the couple wants to keep the total cost of their reception under $6,000, what is the maximum number of guests that they can invite? Define a variable, write an inequality and solve.
Answers
Answer:
112.5 guests
Step-by-step explanation:
3,000 + 750 = 3,750. 6,000 - 3,750 = 2,250. 2,250/20 = 112.5 hope this helps
Simplify 8(3 - 2x).
16x - 24
24x - 16
24 - 16x
Answers
24 - 16x
Step-by-step explanation:
8(3-2x)
=24 - 16x
Answer:
The last option (24 - 16x)
Step-by-step explanation:
You must FOIL the equation by multiplying every expression within the parentheses by 8, the number outside the parentheses.
[tex]8\times3=24\\8\times-2x=-16x\\24-16x[/tex]
Which theorem can be used to show that AABC = ADEC?
Answers
Prove that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base
Answers
Answer:
We will take two angles and name them 'x'
And their sum must equal 180
So,
x + x = 180
2x = 180
x = 180/90
x = 90
Hence, it is proved that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base.
My victory will be in your hands if you answer this ✌✌✌✌✌
Answers
Add dress and shoes together:
30 + 25 = 55
1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)
Multiply total price by 4/5:
55 x 4/5 = (55 x4)/5 = 220/5 = 44
Total after discount is 44
Now add shipping:
44 + 8 = 52
Total paid = £52
Answer:
She will pay $52
Step-by-step explanation:
So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars. By the way substitute this money sign $ for the one on your page
Which statement is true about the diagram?
A line has points A, K, B, T. The distance from A to B is 10, the distance from K to B is 5, and the distance from B to T is 4.
K is the midpoint of AB.
B is the midpoint of KT.
AK = BT
AB = KT
Answers
K is the midpoint of AB, which is the correct answer that would be option (A).
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given shows a line segment AT, where the length of line segment AT refers to the distance between its endpoints, A and T.
Here AB = 10, KB = 5, and BT = 4.
Since AB = AK + KB,
We have that 10 = AK+5,
And AK= 10 - 5 = 5.
This means that AK = KB = 5 and K is the midpoint of AB
Therefore, K is the midpoint of AB, which is the correct answer that would be an option (A).
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Answer:
a
Step-by-step explanation:
Need help ASAP pls !!!!
Answers
The theoretical probability of getting a head when you flip a fair coin is
1
2
, but if a coin was actually flipped 100 times you may not get exactly 50 heads, although it should be close to this amount.
If a coin was flipped a hundred times, the amount of times a head actually did appear would be the relative frequency, so if there were 59 heads and 41 tails the relative frequency of flipping a head would be
59
100
(or 0.59 or 59%).
Relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
For example, when using a biased dice, the probability of getting each number is no longer
1
6
. To be able to assign a probability to each number, an experiment would need to be conducted. From the experimental results, the relative frequency could be calculated.
The more times that an experiment has been carried out, the more reliable the relative frequency is as an estimate of the probability.
Example
Ella rolls a dice and records the number of times she scores a six. Find the relative frequency that Ella rolls a six on her dice.
Need help with 6 and 7
Answers
Answer:
part 7 = 15cm
Step-by-step explanation:
[tex]x {}^{2} = (12) {}^{2} + (9) {}^{2} \\ x {}^{2} = 144 + 81 \\ x {}^{2} = 225 \\ x = \sqrt{225} = 15[/tex]
express tan J as a fraction in simplest terms
Answers
Answer:
tan j = 15/9
Step-by-step explanation:
tan(theta) is equal to perpendicular by base
Find the Mean Median, Mode, and Range of the following numbers. 7, 10, 10 14, 29 Mean _______ Mode________ Median______ Range_______
Answers
Mean is the average do 7+10+10+14+29 /5 = 14
median is the middle number so 10
mode is the most frequent number so 10
range is the largest number minus the smallest so 29-7 =22
Answer:
Mean ___14____ Mode__10______ Median___10___ Range__22_____
Step-by-step explanation:
7, 10, 10, 14, 29
The mean is the numbers added and then divided by the number of terms
mean: ( 7+ 10+ 10+ 14+ 29)/5 =70/5 = 14
Median is the middle number when they are arranged from smallest to largest
10 is the middle number
Mode is the number that occurs most often
10 is the mode
Range is the largest number minus the smallest number
29 -7 =22
7. Dean has a checking account at City Center Bank. During the month of April, he made deposits
totaling $2,458.52 and wrote checks otaling $789.23. He paid a maintenance fee of $25 and
earned $3.24 in interest. His balance at the end of the month was $4,492.76. What was the
balance at the beginning of April
Answers
Answer:
2848.47
Step-by-step explanation:
Terry has 14 coins. She has some quarters, 5 nickels and one dime more than she has nickels. How many of
each coin does she have? How much money does she have all together?
Answers
5 nickels = 25¢
6 dimes = 60¢
3 quarters = 75¢
25+60+75=160
Answer:
1.60 ............................
2. Using what you learned in Question 1, try to write
each of these quadratic expressions as a product of
two linear expressions. That is, try to write each
expression in factored form.
a. x^2 + 5x + 6
b. x^2 + 2x - 15
C. X^2 - 3x + 10
d. x^2 - 9x+8
e. x^2 - 16
f. X^2 - 10x + 6
Answers
Answer:
Ans
Step-by-step explanation:
In Q. No. F, 1st page last step there is /2.
OK
Which statement is true about the given information?
A line has points B, C, D, and E. All points are equal distances from each other.
BD = One-halfBC
BC = One-halfBE
BD ≅ CE
BC ≅ BD
Mark this and return
Answers
Answer:
I think the answer is BD ≅ CE
PLease help its line segments
Answers
Answer:
48
Step-by-step explanation:
FG:24
then
GH:also 24
24+24=48
Because 24 is half way so you double that and that is 24+24 which is 48
What number doubled and added to 12 gives 20?
Answers
Answer:
8
Step-by-step explanation:
4 doubled and added to 12 gives 20.
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let number be x
2x + 12 = 20
2x = 20-12 = 8
2x = 8
x = 8/2 = 4
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Only some of the students in the Level 1 swim lessons move up to Level 2 at the end of the session. The table shows what fraction of each swim instructor's students move up to Level 2. Which list orders the fractions from least to greatest?
Answers
Answer:
7/12 ,2/3, 17/24, 3/4
How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
Answers
Answer:
Therefore , Total no of ways to fill the 3-digits number is = 3*3*3 =27 . So, we can make 27 different 3-digits number using these numbers 1 ,5 ,7 by arranging them in 27 different waysStep-by-step explanation: