Answer:
Given,
[tex] \sqrt{ {x}^{2} + 4x + 4} - 3 = 0 \\ = > \sqrt{ {x}^{2} + 4x + 4} = 3 \\ = > {( \sqrt{ {x}^{2} + 4x + 4} })^{2} = {3}^{2} \\ = > {x}^{2} + 4x + 4 = 9 \\ = > {x}^{2} + 4x + 4 - 9 = 0 \\ = > {x}^{2} + 4x - 5 = 0 \\ = > {x}^{2} + 5x - x - 5 = 0 \\ = > x(x + 5) - 1(x + 5) = 0 \\ = > (x - 1)(x + 5) = 0 \\ \\ \sf \: either \: x - 1 = 0 \: \: \: \: \\ = > x = 1 \: \: \\ \\ \sf \: or \\ x + 5 = 0 \\ = > x = - 5 \\ \\ \green{ \boxed{ \bf \: \: \: \: \: x = 1 \: \: or \: - 5}}[/tex]
But if we put the value of x = 5 then it doesn’t satisfy the equation.
So,
X = 1
Answer:
The answer is [tex]x=1[/tex].
Step-by-step explanation:
To solve this problem, start by factoring the equation using the perfect square trinomial rule, which is states that the middle term is the first term multiplied by the last term, and then multiplied by 2. The formula for the perfect square trinomial rule looks like [tex]a^2+2ab+b^2[/tex], where [tex]a=x[/tex] and [tex]b=2[/tex]. The equation will look like [tex]\sqrt{(x+2)^2}-3=0[/tex].
Next, pull out the terms from under the radical, assuming positive real numbers, which will look like [tex]x+2-3=0[/tex]. Then, simplify the equation by subtracting 3 from 2, which will look like [tex]x-1=0[/tex]. Finally, add 1 to both sides of the equation, and the answer will be [tex]x=1[/tex].
Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
(3,6) in a 180 degree rotation
Answer:
(-3,6)
Step-by-step explanation:
There's a formula for this, but it's just reflecting it across the y-axis.
Hope this helped! :)
The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.
Answer:
Step-by-step explanation:
Let the length be :x+7
Let the breadth be:x
After addition and subtraction
Length:x+7+2=x+9
Breadth:x-1
A.T.Q
x(x+7) = (x+9)(x-1)
x²+7x = x(x-1)+9(x-1)
x²+7x = x²-x+9x-9
x²+7x-x²+8x = 9
8x-7x = 9
So, Breadth: 9m
So, Length :16m
Helpppppppnmeeeeeeee plsss I will give you brainliest
Answer:
5) Slope is 6/5
6) Slope is -3
7) Slope is 2/5
8) Slope is 2
Step-by-step explanation:
You're welcome :D
I will mark brainiest fast send answers plz!!!!
Answer:
D
Step-by-step explanation:
Marcus will walk 9 miles in 2 hours, so its 9/2 to find how many miles he will walk in 1 hour
Marta bought c CDs for $ 12 each, b books for $ 7 each, and a bag for $ 24 to.
Write an expression to show the total money Marta spent.
If Marta bought 4 CDs and 3 books, how much did she spend?
Answer:
A, 12c + 7b + 24
B, $69
Step-by-step explanation:
Please, read my picture Thanks! Also tell me if its right in the comment
4 * 12 + 3 * 7 + 24 = m
m represents how much money Marta spent
48 + 21 + 24 = m
69 + 24 = m
$93 = m
what is the answer???
Answer:
[tex] \frac{65}{97} [/tex]
Cosine ∅ = adjacent ÷ hypotenuse
Rounded to the nearest hundredth the answer is 0.670.
We know
[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]
Now
[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]
[tex]\\ \sf\longmapsto cosU=0.67[/tex]
Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.
What is the greatest common factor of 24 and 9
Answer:
The Greatest Common Factor of 24 and 9 is 3.
Answer:
3
Step-by-step explanation:
the biggest number u can divide 24 and 9 commonly is 3
Use the vertical line test to determine whether the graph is the graph of a function.
AY
Is this the graph of a function?
No
Yes
Answer:
No is the answer:)
Step-by-step explanation:
Draw a straight line down the middle and if it touches the purple line twice its not a function
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food?
Answer:
26.25
Step-by-step explanation:
26.25
Answer:
5 bags = $26.25.
Explanation
First, you need to find out how much $ it takes to buy ONE(1) bag of cat food. To find out, you have to do 15.75 divided by 3 bags = $5.25.
Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.
If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?
Situation
5.25 x 5 = 26.25
What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simplest form.
Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]
Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]
[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]
[tex]-2--2 = -2+2=0[/tex]
[tex]= 0[/tex]
[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]
[tex]m=\frac{-6--6}{3--3}[/tex]
[tex]-6+6=0[/tex]
[tex]-3+3=0[/tex]
[tex]=0[/tex]
Hope this helps.
Under stand place value
Answer:
What do you need help with?
Step-by-step explanation:
I'm confused because you didn't include a question.
i need help w this pls
Answer:
see explanation
Step-by-step explanation:
TQ and TR are perpendicular bisectors , so
QO = QN = 3.75
RP = OR = 3.4
The circumcentre T is equally distant from the triangle's 3 vertices, then
PT = QT = 4.5
can someone help me do this
Answer:
[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]
Step-by-step explanation:
i need help again lol last one tho
Answer:
B.
Step-by-step explanation:
x^4
please mark brainliest
[tex](x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4[/tex]
help plzz
2decimal places
165 x 0.38²
Answer:
23.83
Step-by-step explanation:
What is 8,024.62 in words?
Answer:
eight thousand twenty four sixty two hundreths
Step-by-step explanation:
you can replace the decimal pint with an and so that its
eight thousand twenty four and sixty two hundreths
Answer: eight thousand twenty-four and sixty-two hundredths
Step-by-step explanation:
A wooden rod of 5 m 75 cm was cut into 5 equal pieces. What is the length of each piece.
We have: 5m 75cm = 5.75 m
So the length of each piece is : [tex]l = \frac{5.75}{5} =1.15<m>[/tex]
ok done. Thank to me :>
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?
I find the baseline is 14 units long.
the height is 7 units.
so, the area is
14×7/2 = 7×7 = 49 square units.
-3х +2y = -27
3х + 5y = 6
Answer:
Hi it can't be solved because a equation can't have 2 variables
PLS HELP ME ASAP
DO NOT use any links
Answer:
c
Step-by-step explanation:
There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?
Step-by-step explanation:
72 apples.
38 red, and therefore 72-38 = 34 green.
46 have worms, therefore 72-46 = 26 have not.
and so, in the best case you have 26 green apples without worms.
Is it True or false ?
Answer:
Step-by-step explanation:
true
Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?
Answer:
A lot
Step-by-step explanation:
Does this girl not have a credit card
The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Number of dimes = d
And number of nickels = n.
Total number of coins = 10.
Also, the value of coins = $0.70.
According to given conditions,
Since, Total number of coins is 10,
The equation can be written as,
d + n = 10
Total value of coins are = 0.70
0.1d + 0.05n = 0.70
1/10 d / 5n / 100 = 0.70
10 d + 50 n = 70
d + 5 n = 7
The required pair of equations are d + n = 10 and d + 5 n = 7.
To know more about Equation on:
brainly.com/question/187506
#SPJ5
Will give BRAINLIEST
Answer:
Quadrant 4
Step-by-step explanation:
Answer:
3rd quadrant
Step-by-step explanation:
it has the pentagon
PLEASE HELP IM REALLY BEHIND AND I CANT MESS THIS UP
Answer:
13, 9, 5, 1
Step-by-step explanation:
y = -2(-2) + 9
y = 4 + 9
y = 13
y = -2(0) + 9
y = 0 + 9
y = 9
y = -2(2) + 9
y = -4 + 9
y = 5
y = -2(4) + 9
y = -8 + 9
y = 1
Please help me with this
Answer:
h,c
Step-by-step explanation:
A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
Answer:
11
Step-by-step explanation:
The formula for area is l * w = a (length * width = area)
4 is our length, and 44 is the area, so the equation turns to this:
4 * x = 44
To solve for x, just divide 44 by 4.
44 / 4 = 11.
Now we enter that into our equation so it looks like this:
4 mm * 11 mm = 44 mm^2.
Hope this helped :)
solve the following equation
Answer:
x=1 x=-11
Step-by-step explanation:
first you need to find what two numbers add together to make 10x and multiply together to make 25-
this would be 5
so we can rewrite it as (x+5)(x+5) = 36
which is the same thing as (x+5)^2 =36
then taking the root of both sides we get (x+5)= plus or minus 6
so x=-11 or x equals 1
