The solution to the given quadratic expression using the completing the square is x = ±√10 +8
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 − 16x + 54 = 0
Subtract 54 from both sides
x^2 − 16x = -54
Complete the square
x^2 -16x +8^2 = -54 + 64
(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8
Hence the solution to the given quadratic expression using the completing the square is x = ±√10 +8
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What is the slope of a line that goes through (2,-2) and (5,6)?
Step-by-step explanation:
The slope formula from 2 points is:
m=(y2-y1)/(x2-x1)
So input the numbers:
m = (6 - -2) / (5 - 2)
Solve within parenthesis:
m = (8) / (3)
Then divide!
8/3 = 2 2/3
the slope of the line is 2 and 2/3
Can someone please help me?
Answer:
m1= 63°m2=117°m3=63°Step-by-step explanation:
a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.
180-117=63
And you can kind on figure out what is the same as the other angles. Hope his helps
Determine if square root of three is rational or rational and why
Answer:
Irrational
Step-by-step explanation:
If the number goes on and on it’s irrational
Hope this helps! ;-)
Answer:
It is not rational because the square root of 3 is not a fraction nor a repeating decimal.
why π is not equal to 3.1416
Answer:
pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive
Step-by-step explanation:
In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.
Answer: 37 students in the class
Step-by-step explanation:
Let n = number of books,
Let s = number of students
We get the following expressions:
n = 3s + 17
4 = [tex]\frac{n}{s-5}[/tex]
Solve this system using substitution:
[tex]4=\frac{3s+17}{s-5}[/tex]
[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]
[tex]4s -20 = 3s+17\\[/tex]
[tex]s-37 = 0\\[/tex]
[tex]s=37[/tex]
Find the arc length of the circle with a central angle of 30 degrees and a radius 12. Leave the answer in terms of π.
[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]
One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?
Answer:
2755
Step-by-step explanation:
One cubic foot=145 pounds, so we can do 145x19=2755 lbs.
The required weight of 19 cubic feet of concrete is 2755 pounds.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.
Thus, the required weight of 19 cubic feet of concrete is 2755 pounds.
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Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre
Answer:
c.
Step-by-step explanation:
15-3-3=9...........
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
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Answer:
It's C
Step-by-step explanation:
6 + 33 divided by 9 what is it
Answer:
I think its 4.9
Step-by-step explanation:
i used a calculator
Answer:
6+33/9 ≈ 9.67
Step-by-step explanation:
first you have to divide 33 by 9 getting roughly 3.67
once you have that u add 6
roughly giving you 9.67
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into each
bottle?
A.
bol.co
x
5 6 7 8 9
R.
O B.22
OC.
O D. 2
090
mmo
Answer:
The answer choices are garbled.
Step-by-step explanation:
(18 pints)/(8 bottles) = (9/4) pint/bottle
2 and 1/4 pints per bottle
write your answer in scientific notation:
5,870,000,000,000 x 2000
Answer:
1.174 X 10^16
Step-by-step explanation:
since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16
Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?
Answer:
K(11,19), L(7,11), M(40,77).
Step-by-step explanation:
Select the equation that matches the written description.
A number, y is eight less than negative nine times a number,x.
(А)
y = -4x + 8
B
y = 3x + 8
y = -9x - 8
D
y = 5x + 8
Answer:
C. y = -9x - 8
Step-by-step explanation:
Setting up the equation:
eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.
We want to get the variable y alone, so this can be written as y = -9x - 8
In my local travel shop i can exchange euros for british pounds when i come back from holiday. I get £1 for every 1.46 euros. Complete this table for different values of euros that people exchanged in front of me in the shop.
21. 14.60 euros in pounds =
22. 109.50 euros in pounds =
23. 73 euros in pounds =
24. 365 euros in pounds =
Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Rate: 1.46 euros per £1
Q21
14.60 euros in pounds14.60/1.46 = £10Q22
109.50 euros 109.50/1.46 = £75Q23
73 euros73/1.46 = £50Q24
365 euros365/1.46 = £250Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Exchange rate:
£1 = ∈1.46
To convert from euros to pounds, divide the euros by 1.46
To convert from pounds to euros, multiply the pounds by 1.46
Question 21
14.60 euros = 14.60 ÷ 1.46 = £10
Question 22
109.50 euros = 109.50 ÷ 1.46 = £75
Question 23
73 euros = 73 ÷ 1.46 = £50
Question 24
365 euros = 365 ÷ 1.46 = £250
what is the answer for r= 8, d = 2x - 4?
Answer:
2
Step-by-step explanation:
2x -4= 0
2x-4+4=0
2x=0+4
2x=4
2x/2=4/2
x=2
Can the sides of a triangle have lengths 2, 13, and 14?
Answer:
Yes
Step-by-step explanation:
The larger side is smaller than the other sides combined
(2 + 13) > 14
Hope this helps
Melissa needs to make a total of 80 deliveries this week. so far she has completed 16 of them. what percentage of her total deliveries has melissa completed?
pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
Nineteen years ago Sean was 28 years old. How old is he now?
A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.
Answer:
36.32 m
Step-by-step explanation:
perimeter = 2(l+b) = 2(10.5 + 7.66)
=2(18.16)= 36.32 m
Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
The perimeter of the picnic area is 107 yards
Complete Question:A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
How to determine the perimeter?From the complete question, we have:
Shape: Triangle
Side lengths = 45 yards, 31 yards, 31 yards
The perimeter is the sum of the side lengths.
So, we have:
Perimeter = 45 + 31 + 31
Evaluate
Perimeter = 107
Hence, the perimeter of the picnic area is 107 yards
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Answer:B
Step-by-step explanation:
107 Yards
1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120
The results of the absolute value expressions are:
|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0How to solve the absolute value expressionsExpression 1:
We have: |x - (-18)| if x<-18
Open the bracket
|x + 18|
If x < -18, then the values of x are above -18 i.e. -19, -20...
This means that: |x + 18| > 0
Hence, |x - (-18)| if x < -18 is greater than 0
Expression 2:
We have: |2x| if x < 0
If x < 0, then the above equation would be greater than 0
Hence, |2x| if x < 0 is greater than 0
Expression 3:
We have: |x - 120| if x<120
If x < 120, then the values of x are less 120 i.e. 119, 118...
This means that: |x - 120| > 0
Hence, |x - 120| if x<120 is greater than 0
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Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14
Answer:
O -x+y=-2
Step-by-step explanation:
-x + y = -5
⇔ y = x - 5
a line parallel to y = x - 5 must have the same slope as the line y = x - 5
Then
The equation of the parallel line is of the form : y = x + p
Finding p :
the point (-6,-8) lies on the parallel line means :
-8 = -6 + p
Then
p = -8 + 6 = -2
Finally :
y = x - 2 ⇔ -x + y = -2
21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50
Answer:
One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?
movie B
Which movie has a dot plot with ages that that center at about 30 years?
movie C
What is a typical age for the people who were at Movie A?
40
Step-by-step explanation:
I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.
PLEASE HELP! TY
A circle is centered at (4, -2) and has a radius of 11.
What is the equation of the circle?
Answer:(x-4)^2+(y+2)^2=121
Step-by-step explanation:
eqaution of circle is this
(x-h)^2+(y-k)^2=r^2
(x-4)^2+(y--2)^2=r^2
and 2 negatives make positive
(x-4)^2+(y+2)^2=r^2
and r^2=121
(x-4)^2+(y+2)^2=121
89. 70 is what percent of 350?
Step-by-step explanation:
100% = 350
1% = 100%/100 = 350/100 = 3.5
how many % are 70 ? well, as many as often 1% fits into 70 :
70/3.5 = 20%
What is the value of x?
Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
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