Answer:
[tex]\boxed {x = \sqrt{3} - 3}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x^2 + 6x + 6 = 0[/tex]
-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
-Multiply both [tex]-4[/tex] and [tex]6[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
-Add [tex]34[/tex] and [tex]-24[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
-Take the square root of [tex]12[/tex]:
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)
-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)
Find the values of x, y, and z. The diagram is not to scale.
Answer:
95 = x
85 = z
75 = y
Step-by-step explanation:
**remember** all triangles contain 180 degrees
this means that the triangle to the left should add up to 180 to we can set up this equation
180 = 60 + 25 + x
180 = 85 + x
95 = x
now **remember** a flat line is 180 degress so x + z is 180... we can set up this equation:
x + z = 180
plug in x = 95 from before
95 + z = 180
z = 85
**remember** again that a triangle in 180 degrees so for the right one we can set up this equation by pluggging in the z=85
180 = 20 + 85 + y
180 = 105 + y
75 = y
Answer:
first option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
x = 180° - (60 + 35)° = 180° - 95° = 85°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle of the triangle , thus
z = 60° + 35° = 95°
Using the sum of angles in a triangle, then
y = 180° - (95 + 20)° = 180° - 115° = 65°
Thus
x = 85°, y = 65°, z = 95°
Write 45 as a product of primes.
Use index notation where appropriate.
Difficult one for me: Geometry!
Answer:
what is your question here??
What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.
Answer:
y
=
m
x
+
b
to find the equation.
y
=
−
2
x
+
8
Step-by-step explanation:
3/8 divided by 2/3 PLEASE PUT IN FRACTION FORM
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} / \frac{2}{3} = \frac{9}{16}[/tex]
(/ = dived by)
The division of 3/8 by 2/3 is 9/16.
What is Fraction?Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.
The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.We have to divide 3/8 by 2/3
So, 3/8 ÷ 2/3
As, instead of division we proceed with multiplication as
3/8 x 3/2
= 9/ 16
So, the required fraction is 9/16.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
PLEASE HELP ME WITH THIS
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation: (sorry you'll have to graph them on your own)
Number 2:
So if x was this y would be...
x=-3 y=4 (-3,4)
x=0 y=2 (0,2)
x=3 y=0 (3,0)
The solution would be (3,0).
Number 3:
So before we begin we'd have to solve for y by subtracting 1 from both sides to get... [tex]y=3x-1[/tex]
Now we should choose -1, 0, and 1 so now...
x=-1 y=-4 (-3,4)
x=0 y=-1 (0,2)
x=1 y=2 (3,0)
The solution would be (1,2).
FINDDD VALUE OF Y!!!!
Answer:
The sum of the internal ángles = 360°
(3y+40)° and (3x-70°) are suplementary angles = 180°
then:
(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.
(3y+40) + (3x-70) = 180 ⇒ second eq
development:
from the first eq.
3x + x + 3y = 360 + 70 - 40 - 120
4x + 3y = 430 - 160
4x + 3y = 270 ⇒ third eq.
3y = 270 - 4x
y = (270 - 4x) / 3 ⇒ fourth eq.
from the secon eq.:
3y + 3x = 180 + 70 - 40
3y + 3x = 250 - 40
3y + 3x = 210 ⇒ fifth eq.
multiply by -1 the fifth eq and sum with the third eq.
-3y - 3x = -210 ⇒ (fifth eq. *-1)
3y + 4x = 270
⇒ 0 + x = 60
x = 60°
from the fourth eq.
y = (270-4x)/3
y = (270-(4*60)) / 3
y = (270 - 240) / 3
y = 30/3
y = 10°
Probe:
from the first eq.
(3x-70) + (3y+40) + 120 + x = 360
3*60 - 70 + 3*10 + 40 + 120 + 60 = 360
180 - 70 + 30 + 40 + 120 + 60 = 360
180 + 30 + 40 + 120 + 60 - 70 = 360
430 - 70 = 360
Answer:
y = 10
52 cat owners shoed up for the annual Cat Convention, including the Crazy
Cat lady who owns 50 cats (The crazy cat lady owns more cats than anyone
else at the convention.).
Explain how you can be certain that at least two people have the same
number of cats.
Answer:
Due to the amount of cat owners, and the fact that the highest amount of cats that one person owns is 50, It means that the probability of two of them having the same number of cats is high.
Correct me if im wrong
I tried
Step-by-step explanation:
1 pts
Question 2
Karen rented a moving truck to move all of the items in her home. The rental
company charged $42 a day plus $0.13 per mile in gas. If Karen rented the truck for 2
days and he total bill was $124.95, how many miles did she travel?
miles
Answer: 315 miles
Step-by-step explanation:
42x2=84
124.95
-84.00
_______
40.95
40.95 ➗ 0.13 = 315 miles
A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?
Answer: x = Number of haircuts
Location A profit: 45x-1200
Location B profit: 60x-1800
(Lets assume that the profit is the same for each location)
45x-1200=60x-1800
By solving that we found:
x = 40 Haircuts
Hope this helps!
Step-by-step explanation:
What’s the measure of angle X ?
Answer:
120
Step-by-step explanation:
PLSSS HURRY!!! Thank youu
Answer:
c- 90
a and b- 45 each
Step-by-step explanation:
since the sum of all angles on the inside of a triangle is 180, and c is 90 degrees, you can subtradt 90 from 180 and divide that by 2, getting angles 1 and b.
Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:
[tex] P + J = 60min + 10min = 70 min [/tex] (1)
Also, Priya can finish the delivery 5 minutes faster than Jibran:
[tex] P = J - 5 [/tex] (2)
By entering equation (2) into (1) we have:
[tex] (J - 5) + J = 70 min [/tex]
[tex] 2J = 75 min [/tex]
[tex] J = 37.5 min = 37 min + 30 s [/tex]
Hence, Jibran takes 37 minutes and 30 seconds to complete the route.
Now, by entering J into equation (2):
[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]
Therefore, Priya takes 32 minutes and 30 seconds to complete the route.
I hope it helps you!
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
please help look at screenshots
Answer:
2nd one is hardest someone help him lol
You are designing a hike that starts at the top of the canyon, above sea level. You plan to stop at three locations: •a scenic landmark, which is at sea level •famous boulder, which is below sea level •the bottom of the canyon, which is 600 feet below sea level
Answer:
Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution
Step-by-step explanation:
The total change in elevation as represented in the number line is
600 - 600 = 0 ( sea level )
below sea level = 0 - 200 = -200 (where the famous boulder is located)
-200 -400 = - 600 feet ( bottom of canyon)
-1+10x^3+x^2
−1+10x
3
+x
2
Answer:
=20x3+2x2−2
Step-by-step explanation:
Let's simplify step-by-step.
−1+10x3+x2−1+10x3+x2
=−1+10x3+x2+−1+10x3+x2
Combine Like Terms:
=−1+10x3+x2+−1+10x3+x2
=(10x3+10x3)+(x2+x2)+(−1+−1)
=20x3+2x2+−2
please please pleaseee
Answer:
a. C= 5/9(F-32)
Step-by-step explanation:
you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c
can someone help me with this
Insect is crawling in a straight line at a speed of 12cm/s how far will the insect travel in 35 seconds
Answer:
420cm
Step-by-step explanation:
speedxtime=distance
12x35=420
Answer:
Distance = 420cm/s
Step-by-step explanation:
We have been given that Insect is crawling in a straight line at a speed of 12cm/s.
We have the following outcomes from the question.
Speed of insect = 12cm/sSo, We need to find the distance which can be reached out by insect in next 35 Seconds.
We are familiar with distance formula which is given by , Distance = Speed × Time
Distance = Speed × Time
Or, Distance = 12cm/s × 35
Or, Distance = 420 cm/s
Therefore, Insect is crawling in a straight line at a speed of 12cm/s, 420cm/s will the insect travel in 35 seconds.
The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?
Answer:
once again, the pattern is multiply by 3
Answer:
972
Step-by-step explanation:
the pattern is multiplied by 3
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
What is the value of the 4 in the number 546210?
Give your answer in words
Answer:
Ten ThousandsThank you ☺️☺️
A tortoise makes a journey in two parts it can either walk at 4cm/s or Crawl at 3cm/s if the tortoise walks the first part and crawl the seconds it takes 100 seconds find the length of the two parts of the journey
Answer:
walking 57 seconds Crawling 43 seconds
Step-by-step explanation:
100s
Walking + crawling
4cm/s. +. 3cm/s
= 7cm/s
walking length= 4cm/s/7cm/s x 100s
=57.14 or 57s
crawling =100s- 57s
=43s
Hey I need Help pls...
Select the correct answer.
Which statement is true about the slope of the graphed line?
A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.
Answer:
negative
Step-by-step explanation:it goes down
Answer:
A-the slope is negative
Step-by-step explanation:
right on plato/edmentum
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
Samuel wants to find the perimeter of his triangular garden so he can install a fence around it. The lengths of the sides are given by the following functions: f\left(x\right)=2x+4f(x)=2x+4, g\left(x\right)=3x-2g(x)=3x−2, and h\left(x\right)=4x+3h(x)=4x+3. What is the perimeter if x=3x=3?
Answer:
it is 32units
Step-by-step explanation:
Jeremy mixes blue, red, and white paint in the ratio of 3:5:1 to make purple paint. If he uses 24 cups of blue paint, how many total cups of purple paint will he make?
Answer:
8 cups
Step-by-step explanation:
If it takes 3 blue paint for each purple, the ratio is 3:1
3:1=24:x
x=8
The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0
please help quickly
Answer:
Kindly check explanation
Step-by-step explanation:
Given the information above :
A) Cost equation for Newton Telephone company :
y = 8x
Where x = number of minutes used
y = total cost for x minutes
Cost equation for Tryus telephone company :
y = connection fee + (fee per minute * number of minutes)
y = 42 + (2x)
Where x = number of minutes used
y = total cost for x minutes
Amount is in cent
If ab = 5 and a² + b² = 25, then (a + b)² =
Answer:
100
Step-by-step explanation:
because 5+5=10
the 10^2=10*10=100
y = |x|-2 how do I graph this
Answer:
Look below
Step-by-step explanation:
The normal absolute value graph is a v shape in the origin, so just go to (0, -2) because of the -2
Hope this helps!!!!
Graph: