Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
Learn more about Quadratic Equations here :
https://brainly.com/question/12014272
#SPJ7
kristin drove to her friend's house and back. on the trip there she drove 40 km/h and on the return trip she went 50 km/h. how long did the trip there take if the return trip took four hours?
Answer:
50km/he=4hr
40km/he=?
40*4/50
=3hr12min
4hr+3hr 12min
=7hr12min
A rectangle is 12 cm long and 8 cm broad.
The length and breadth of the rectangle are
both increased by the same amount, dcm.
If the area of the rectangle is now 221 cm,
find the value of d. with a digram
Answer:
17
Step-by-step explanation:
because 17 is the mulitple
Someone help and plz make sure it’s right? :)
Answer:
Right
Step-by-step explanation:
It is right because every angle with 90° degree or with these shapes are called right angled traingle.
if it helps don't forget to like and mark me
Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky cut?
Answer: 1.35 inches
hope this helps
Question 12 (2 points)
Solve the system of equations using subsititution.
y = 2x - 3
y + 5 = 3x
Answer:
(2,1)
x = 2
y = 1
Explanation:
Check the image
Answer:
(2,1)
Step-by-step explanation:
Since we already have an equation for y, all we need to do is plug that into y in the other equation.
y + 5 = 3x
(2x - 3) + 5 = 3x
2x - 3 + 5 = 3x
2x + 2 = 3x
2 = x
Now that we know y, we just need to plug the value of x into the equation.
y = 2(2) - 3
= 4 - 3
= 1
The diameter of a circle is 14 feet. What is the radius?
Answer:
7
Step-by-step explanation:
to find a radius of any diameter just find half of the diameter
When Julie jogs, she burns 255 calories in 15 minutes and 340 calories in 20 minutes. Which equation represents how many calories she can burn per minute
(A)C = 17m
(B) C= 15m
(C) C = 85m
(D) C = 20m
louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax
Reference angle of 2/15 pi
Answer:
Add
2
π
to
−
15
π
2
.
−
15
π
2
+
2
π
The resulting angle of
−
11
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
11
π
2
Add
2
π
to
−
11
π
2
.
−
11
π
2
+
2
π
The resulting angle of
−
7
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
7
π
2
Add
2
π
to
−
7
π
2
.
−
7
π
2
+
2
π
The resulting angle of
−
3
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
3
π
2
Add
2
π
to
−
3
π
2
.
−
3
π
2
+
2
π
The resulting angle of
π
2
is positive and coterminal with
−
15
π
2
.
π
2
Step-by-step explanation:
zorry if im wrong
11. Angela is using several cones to decorate for a party. The cones she has
chosen are 8 inches tall and have a radius of 3 inches. What is the volume of
one of the cones to the nearest whole cubic inch?
Answer:
[tex]75.4 in^3[/tex]
Step-by-step explanation:
First start with your cone volume equation which is
[tex]V=\pi r^2\frac{h}{3}[/tex]
Now plug in what you know
r=3
h=8
[tex]V=\pi (3)^2(\frac{8}{3})[/tex]
put in calculator and get
[tex]75.4 in^3[/tex]
Which function could be represented by the graph on the coordinate plane?
f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6
Answer:
It D
Step-by-step explanation:
Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?
Answer:
66 pages
Step-by-step explanation:
I think that is the answer hope it helps you.
25y + 150x = 250
find the Variables
Answer: Step-by-step explanation:
25y + 150x = 250 (÷25)
y+6x=10
y=10-6x
example x=1 y=4
A circular-shaped pool has a diameter of 23 meters. What is the AREA of the pool in square meters? Use 3.14 for pi. Round to the nearest tenth.
Answer:
1472.66
Step-by-step explanation:
12% of 72 is what number?
Answer:
8.64
Step-by-step explanation:
12% = 0.12
72(0.12) = 8.64
Find the area of the circle. Round to the nearest hundredth.
Answer:
10?
Step-by-step explanation:
What is the interquartile range of warrens data?
Answer:
10
Step-by-step explanation:
Answer:
To find the interquartile range, first arrange the values in the data set in ascending order:
0, 5, 5, 10, 10, 10, 15, 15, 15, 20, 20, 20, 25, 25, 30.
Because there are 15 values in the data set, the first quartile is the 4th value, which is 10, and the third quartile is the 12th value, which is 20.
interquartile range
=
third quartile – first quartile
=
20 – 10
=
10
The interquartile range of Warren's data is 10.
If Jeff is a manager at the local movie theatre, his annual salary is $46,000 and his company gives a 1.5% raise each year. What will be the total amount of money Jeff earns in 4 years assuming he gets the raise each year?
Answer:
59000
Step-by-step explanation: yep
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEE PLSSSS
Answer:
d. 2x+3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
which fractions are equivalent to 2/6. (select ALL that apply).
4/8
1/4
5/9
1/3
4/12
Answer:
1/3 and 4/12
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLY IF U HELP ME
Answer:
D
Step-by-step explanation:
Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?
Answer:
13
Step-by-step explanation:
Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?
Write your answer as a fraction or whole number.
-------------------------------------------------------------------------------------------------------------
Remember That The experimental probability is the number of times an event occurs out of the total number of trials.
-------------------------------------------------------------------------------------------------------------
So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)
-------------------------------------------------------------------------------------------------------------
= 6/19
-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19
This is the right answer, I had the same question ^^
Please help me picture below ! No links
Answer:
nine decided by three is three and three times three is nine so ur answer is three
A recipe that serves 20 people uses ⅝ cup of water. How many cups of water are needed to serve 70 people?
Answer:
43.75 or simplified as 43 3/4 which is a mixed number
Step-by-step explanation:
How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4
5x + 8 = 23
Solve x.
Please
Answer:
X=3
Step-by-step explanation:
I got a calculator.
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
First you want to subtract 8 from 23
[tex]23-8=15[/tex]
Now take 15 and divide by 5
[tex]15/5=3[/tex]
3 is the final answer
If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total cost of 90 articles?
Answer:
Cost function = 40a + 500
Cost of 90 articles = $4,100
Step-by-step explanation:
The fixed cost is $500 and it will.not change regardless of production level.
The Variable cost is $40 and increases by every additional unit produced.
Assume the number of articles produced is a.
Cost function would be:
Total cost = Variable cost * Number of articles + Fixed cost
TC = 40a + 500
Using this, the cost of 90 articles is:
= 40 * 90 + 500
= $4,100
M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN
Answer:
10 units
Step-by-step explanation:
Given data
The points are
M(-5,2) and N(5,2)
x1=-5
y1= 2
x2=5
y2= 2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((5-(-5))²+(2-2)²)
d=√10²+0²
d=√100
d=10
Hence the distance is 10 units
Simplify: 14 - ³√216 No files
Answer:
8
Step-by-step explanation:
14 - ∛216
Step 1: The cube root of 216 is 6
14 - 6
Step 2: Subtract 6 from 14 to get 8.
8
14 - ∛216 simplifies to 8.
Which expression is equivalent to −13(6x+15)−3?
HELP ASAP!!!!! SOMEONE HELP ME?!?!
Answer:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
