Answers
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - an equation in it's general formTo do - convert the given equation into a form that is easy to solveGiven equation -
[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]
solve the parenthesis so as to obtain simpler terms
[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]
solve the like terms and you'll obtain the required equation !
[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]
hope helpful ~
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
x = -7, -1
Step-by-step explanation:
[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]
let (x + 2) = y
So equation will be
[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]
Further it becomes quadratic equation
we will solve it by breaking middle term method
[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]
Now put the value of y
[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]
(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0
x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1
Related Questions
Find the nth term
-7,-9, -11, -13,
, ,
Answers
Answer:
you are subtracting 2 so it would be like
-7,-9,-11,-13,-15,-17,-19
The sum of a number and its square is 6. Find the number
Answers
Answer: The sum of a number and its square is 6. Find the number
Step-by-step explanation:
n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions
Answer:
n = -3, 2
Step-by-step explanation:
We're given:
The sum of a number and its square is 6Let the number be n.
The sum of a number and its square is 6⇒ [tex]n+n^2=6[/tex]
[tex]n+n^2=6[/tex]
⇒ Move everything to one side of the equation:
[tex]n+n^2-6=0[/tex]
⇒ Organize in [tex]ax^2+bx+c=0[/tex] form:
[tex]n^2+n-6=0[/tex]
⇒ Factor:
[tex]n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0[/tex]
⇒ Use the zero-product property to find n:
[tex]n+3=0\\n=-3[/tex] or [tex]n-2=0\\n=2[/tex]
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answers
Answer: 2
Step-by-step explanation:
See attached image
Find P(x > 120) provided that it is known that
= 95 and o = 14. Assume that the
distribution is approximately normal.
Select one:
а. 1.7936
b. 0.7852
c.0.9633
d. 0.0367
Answers
The probability when x is greater than 120 is 0.0367. Then the correct option is D.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100
Answers
Answer:
Arc AB = 55°
Angle AOB = 55° ( Centre angle is equal to respective arc )
Arc CD = 25°
Angle COD = 25° ( Centre angle is equal to respective arc )
Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)
55° + Angle BOC + 25° = 180°
Angle BOC + 80° = 180°
Angle BOC = 100°
The pool where Asha swims is rectangular.
It is 2500 cm long and 1250 cm wide.
The four sides of the swimming pool are 150 cm deep.
They are covered with small square tiles of different colours.
Answers
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.
Hence:
Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Help. Please and thanks.
Answers
Answer:
(2,6)
Step-by-step explanation:
What is a dilation?
A dilation is a type of transformation that resizes an object.
To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor
Applying the dilation rule
We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2
Current coordinates of the triangle :
A(1,1) B(1,3)C(3,1)Coordinates after dilation
A' = (1,1) ===> (1×2,1×2) ===> (2,2)
B' = (1,3) ===> (1×2,3×2) ===> (2,6)
C' = (3,1) ===> (3×2,1×2) ===> (6,2)
The coordinate of the vertex B after the dilation is (2,6)
A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
To the nearest tenth of a foot, how far from the building is the base of the ladder?
9.1 ft
30.5 ft
32.3 ft
39.5 ft
Answers
Answer:
the answer is C :) hope it helps
Answer:its actually 9.1 ft
Step-by-step explanation: i just took the same test
In an orchard, there are 15 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
A: 41:1
B: 15:14
C: 1:15
D:15:1
NO LINKS
Answers
Answer:
D 15:1
Step-by-step explanation:
15 apple trees
26 orange trees
1 cherry tree
apple trees : cherry trees
15 : 1
Answer: D 15:1
Help me please
Simplify (5x3 + 7x - 8) + (2x3 – 5x2 – X + 3). Choose the standard form of the answer.
A. 7x3 + 6x - 5x2 - 5
B. 7x3 - 5x2 + 6x - 5
C. 7x3 – 5x2 + 6x + 5
D 7x3 – 5x2 + 8x - 5
Answers
Answer:
==7x3−5x2+6x−5
Step-by-step explanation:
=5x3+7x+(-8)+2x3+−5x2+−x+3
Combine Like Terms:
=5x3+7x+−8+2x3+−5x2+−x+3
=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)
=7x3−5x2+6x−5
A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second
Answers
Divide total distance by total seconds:
300 meters / 50 seconds = 6 meters per second.
Answer: 6 meters
When the core of a reactor overheated, what happened at Chernobyl?
A. Power was cut off to Europe for six months
B. Radiation was released across Europe
C. The power station exploded killing many
D. Though it overheated, no negative impacts occurred
Answers
Answer: D
On April 26, 1986, the Number Four RBMK reactor at the nuclear power plant at Chernobyl, Ukraine, went out of control during a test at low-power, leading to an explosion and fire that demolished the reactor building and released large amounts of radiation into the atmosphere. When the core of a reactor overheated, what happened at Chernoby Though it overheated, no negative impacts occurred
Step-by-step explanation:
Function g is a transformation of the parent exponential function, . Which graph shows function g?
Answers
Answer:
the answer is b! i got the same question before!
Step-by-step explanation:
What are the zeros of the function defined by x +x-12?
A) {-4, -3} B) {-4, 3} C) {-3, 4) D) {3,4}
Answers
Answer:
Step-by-step explanation:
(x + 4)(x - 3)=0
x + 4 = 0
x = -4
x - 3 = 0
x = 3
answer B
what is the approximate length of arc s on the circle ? A) 5.23 in B) 41.87 in C) 52.36 in D) 104.67 in
Answers
Answer:
C
Step-by-step explanation:
What is the measurement of angle C?
Answers
Answer:
84 degrees
Step-by-step explanation:
180-96=84
When you have your final draft, you are ready to_________your essay using the work processor.
A. Peer edit
B. Publish
C. Revise
D. Prewrite
Answers
Answer:
C) Revise
Step-by-step explanation:
A final draft needs to be revised before it can be published
48 divided by 76.8
I am very confused on the two digits numbers
Answers
Please im been stuck on this for ages
Answers
In the figure below, QRT and SRV are complementary,
What is the value of x?
Answers
x = 40
[tex]\bold{SOLUTION:}[/tex]
From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me
Answers
Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean
(Figure is attached )
We know , Angle Of depression = Angle Of elevationFor finding base length from the ship to base of lighthouse ,
Tanθ = perpendicular/base
Tan 27° = 180ft/base
Base = 180/0.5095 (Value of tan 27° is 0.5095)
Base = 353.28 ft.
Base = 4239.36 inches
PLS HELP ME
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Answers
Answer:
First picture: SAS and not existent, so not congruent
Second picture: AAA does not exist, so not congruent
Third picture: SAS for both (yes)
Forth picture: AAS for both (yes)
Step-by-step explanation:
Sorry for no long explanation, but if you have any specific questions, feel free to ask in the comments
Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!
In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.
Answers
Answer:
Your answer is 4.171) Draw the figure; make sure angle C is obtuse.
(2) There are two right triangles -- ADC and ADB.
(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.
4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.
So, The length of CD will be 25/6 = 4.17
a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f
Answers
.
Jill rolled a regular 6-faced die three times and got 2 each time.
What is the probability that she will roll 2 again on the next roll?
Answers
Answer: 1/6
Step-by-step explanation:
Since there’s only one side on the dice that has two on it out of six sides it has to be 1/6.
find the length of a diagonal of a square whose side is 2 cm
Answers
Answer:
2√2 cm
Step-by-step explanation:
Formula to be understood :
Diagonal of a square = Side length√2Deriving the formula :
Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuseside length² + side length² = hypotenuse²2(side length)² = hypotenuse²hypotenuse = side length√2Solving for the length of the diagonal :
diagonal = 2√2 cmLength of diagonal
side√2a√22√2cmWhat is the domain of the profit function P = 7m + 12n?
O A. Defined for all m> 0 and n_>0
B. Defined for all m _>0 and n > 0
C. Defined for all m> 0 and n > 0
D. Defined for all m _> 0 and n _> 0
Answers
Answer:
D
Step-by-step explanation:
without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).
and so,
Defined for all m >= 0 and n >= 0.
there is no information provided that would eliminate m = 0 or n = 0.
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
the line is going 1/1 so y=1x+2
Step-by-step explanation:
y=mx+b
1 is the slope
2 is the intercept of the graph
James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?
Answers
Answer:
The total cost of the meal is $24.24
Step-by-step explanation:
Step 1: Combine the two meal costs.
10.20 + 9.50 = 19.70
Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70
19.70 * 0.07 = 1.379
19.70 + 1.379 = 21.079
They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185
Add 3.16185 to 21.079
This equals 24.24085
Round down to $24.24
136 × (8 + (-4) = 136x8+136 × - 4
Answers
Answer:
544
Step-by-step explanation:
Distributive Property: a*(b +c) = (a*b) + (a*c)136 * ( 8 + (-4 ) = 136 * 8 + [ 136 * (-4) ]
= 1088 - 544
= 544