1. Find an expression for a side length of the square.
For this case, the first thing to do is to know that the area of a square is:
A = L ^ 2
Where
L: side of the square.
We then have to factorize the given polynomial:
z ^ 2 + 12z + 36
(z + 6) * (z + 6)
Rewriting:
z ^ 2 + 12z + 36 = (z + 6) ^ 2
Answer:
The side of the square is:
L = (z + 6)
2. Find the perimeter when z = 12.
The perimeter of a square by definition is:
P = 4L
Where
L: side of the square.
Substituting we have:
P = 4 (z + 6)
For z = 12 we have:
P = 4 (12 + 6)
P = 72
Answer:
the perimeter when z = 12 is:
P = 72
If helpful, please mark as brainliest! =)
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?
We solve this question using vertices formula:
√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)
For Side AB
A(-5, -1), B(5, -1)
AB = √(5 - (-5))² + (-1 -(-1))²
AB= √(5 + 5)² + (-1 + 1)²
AB = √10² + 0
AB = √100
AB = 10 units
For Side BC
B(5, -1), C(0, -4)
BC = √(0 - 5)² + (-4 -(-1))²
BC = √-5² + (-4 + 1)²
BC = √25 + -3²
BC = √25 + 9
BC = √34
For Side AC
A(-5, -1), C(0, -4).
AC = √(0 - (-5))² + (-4 - (- 1)²
AC = √5² + -3²
AC = √25 + 9
AC = √34
Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another
PLEASE HURRY AND HELP ME NOW ASAP
Answer:
jdjdjdbxjx byee-
A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir
Answer:
tüm duruma (4×4×4 den 64)
(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar
(4×4×4)-(4×3×2)=40Resuelve
14 - 15 – (-13) + 12 – (-11)
. 20 – 40 – (- 50) + 70 – 100
Dfhhhftgggghguijhhjjjjjjj
Answer:
its first one
Step-by-step explanation:
SOMEONE HELP QUICK PLS
The point (-5, 10) undergoes a translation of 10 units right and 5 units down.
What are the coordinates of the new point?
A. (-10, 15)
B. (0,0)
C. (5, 15)
D. (5,5)
Answer:
5,5
Step-by-step explanation:
That's the answer.
.
Answer:
A -10,15
Step-by-step explanation:
help me with this, please!!!
Answer:
17 is already a simplest form so you can do a decemil form 0.17
Step-by-step explanation:
Answer:
10.68 miles
Step-by-step explanation:
17 mile radius = 34 mile diameter
34 mile diameter x 3.14 = circumference = 106.82 miles
Pi/5 radians = 36 degrees
36(106.82)/360 = 10.68 miles
Use the greatest common factor and the distributive property to write equivalent expressions in factored form.
13ab + 15ab =
Given:
The expression is
[tex]13ab+15ab[/tex]
To find:
The equivalent expressions in factored form.
Solution:
We have,
[tex]13ab+15ab[/tex]
In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.
Distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
By using greatest common factor and the distributive property, we get
[tex]13ab+15ab=ab(13+15)[/tex]
[tex]13ab+15ab=ab(28)[/tex]
[tex]13ab+15ab=28ab[/tex]
Therefore, the required equivalent expression is [tex]28ab[/tex].
Is Figure B a scale copy of Figure A?
Answer:
yes
Step-by-step explanation:
Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)
Answer:
➪
⚠︎ ☻︎
ℍ ꨄ︎
The answer is E (4,5)
-4 + 9= 5
therefore y must be 5 so it is E.
Leslie bought an
ice cream cone for $5. She had a 20% off coupon. What was the total cost
of her ice cream?
Answer:
$1.00
hopefuly this helped if not let me know!
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
Terra wants wall-to-wall carpeting in her bedroom, which measures 10’ x 12’6”. Carpeting is on sale for $24.99 per sq. yd. What is the cost? (Remember to round your dimensions before calculating the area)
Answer:
$347.08
Step-by-step explanation:
10' x 12'6" = 125 ft^2
one yd^2 = 9 ft^2
125/9 = 13.89 yd^2
13.89 x $24.99 = $347.08
plss help it's urgentt
Answer:
1. 25
Step-by-step explanation:
First, you need to place the numbers in ascending order, meaning from smallest to largest.
You calculate the range by taking the largest number and subtract the smallest from it, so in this case: 42-17 = 25
Mean (average), just add the numbers up and divide by how many numbers you have
III. Once you find the Mean and you placed them in order from smallest to largest, you can find this answer
Median (middle) - which number is in the middle so after you place them in order which is in the middle if you have an odd number of marks, but since you have 12 marks then take the 2 center numbers, add them up, and divide by 2, in other words, get the mean of the middle numbers and that will give you the median in this problem
Mode, which number appears the most times repeated
Answer:
i. 25 (range = the difference between the highest and lowest number)
ii. 30.41 (mean = sum of all numbers divided by the how many numbers there are)
iii. 6
iv. 35
v. 35
a company has 15.5×108
Answer:
1674
Step-by-step explanation:
Answer:
1674
Step-by-step explanation:
Find the value of x.
x =
Enter the number that belongs in
the green box.
Answer:
x=67
Step-by-step explanation:
Sum of all angles is 180
36+77+x=180
113+x=180
x=180-113
x=67
PLZZZ MARK ME AS BRAINLIEST
What is the area of this shape
Answer:
for the first time ever since I have been working on a project with the team at work and working on a new project which is a bit of an issue with my phone hhhhhhy is an idiot for the last minute or have been trying again and it is hard enough rather that we can I become more of an idiot and Predicate the way I am now a little worried that the definitions of this year will not hold up exercises for us is a very big part and I have attached my name for your class eda can be very difficult and difficult and ITania wanted to watch the movie Earwig and the witch. On HBO you have to subscribe for $14.99 to be able to watch it. She has a $5 off coupon. If she uses the cupon what percent of the initial amount will she end up paying?
Answer:
aprox 33%
Step-by-step explanation:
Which sets of ordered pairs represent functions from A to B? (Select all that apply.)
A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}
A. {(0, 2), (3, 0), (1, 1)}
B. {(0, 0), (1, 0), (2, 0), (3, 0)}
C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}
D. {(0, 1), (1, −2), (2, 0), (3, 2)}
What is the solution to this system of equations?
4x + 5y = 7
3x – 2y = –12
what is the solution
Q3. Find x and y
12
X
30
60
y
Answer:
THX FOR POINTS
Step-by-step explanation:
Answer:
x = 4[tex]\sqrt{3}[/tex], y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )
3x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 3 )
x = 4[tex]\sqrt{3}[/tex]
------------------------------------------------------------
Using Pythagoras' identity in the right triangle
y² = x² + 12² = (4[tex]\sqrt{3}[/tex] )² + 144 = 48 + 144 = 192 ( take square root of both sides )
y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]
How do i solve this (Tamgent Segment)
Answer:
5
Step-by-step explanation:
Since DE is tangent to the circle, that means DE is perpendicular to EF
==> DF = sqrt(4^2+3^2) = 5
Sara rolls a fair dice 600 times.
How many times would Sara expect to roll a six?
Answer:
100
Step-by-step explanation:
possibility of getting 6 in one roll = 1/6
Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100
I hope im right!!!
Graph the equation using the slope and y-intercept
y = 2x - 4
If 91 is 10% of a number, what is that number? *
Answer:
910
Step-by-step explanation:
so to find 100% ( the number)
91 x 10
910 would be the number
can you answer this because i do not know
Answer:
3679
Step-by-step explanation:
11,472-7,793=3679 miles left
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?
Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
Basil has five numbered cards.
Two of the numbers are hidden. 4 9 9 ? ? 8
The mode of the five numbers is 8.
The mean of the five numbers is 6
c) Work out the two hidden numbers.
Answer:
The two hidden numbers are 8 and 1.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all its values divided by the number of values.
Mode of a data-set:
The mode of a data-set is the value that appears the most.
In this question:
4, 9, x, y, 8
Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:
4, 9, 8, y, 8
The mean of the five numbers is 6
This means that:
[tex]\frac{4+9+8+y+8}{5} = 6[/tex]
[tex]29+y = 30[/tex]
[tex]y = 30 - 29[/tex]
[tex]y = 1[/tex]
The two hidden numbers are 8 and 1.
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.