3x + 6 - 6x + 6 < 0
Algebra
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2[s+3(s-31)]=18how would i solve this
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a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop
BCDE is rotated 180° clockwise to form PQRS.
JKLM is rotated 180° clockwise to form BCDE.
JKLM is rotated 180° counterclockwise to form BCDE.
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The transformations that took place are;
A: BCDE is rotated 180° counterclockwise to form JKLM.
B: BCDE is rotated 180° clockwise to form PQRS.
What is the transformation that took place?
We can see that the coordinates of Rectangle BCDE are;
B(2, 1); C(2, 2); D(4, 2); E(4, 1)
Now, for Rectangle JKLM, we see that the coordinates are;
J(-2, -1); K(-2, -2); L(-4, -2); M(-4, -1).
Now, for Rectangle PQRS, we see that the coordinates are;
P(-2, 1); Q(-2, 2); R(-4, 2); S(-4, 1).
We see the transformation from BCDE to JKLM as (x, y) → (-x, -y) and this is reflection over the x-axis which is 180° counterclockwise.
Read more about Transformation at; brainly.com/question/4289712
Answer:
actually, its 1 3 and 4 :nerd_emoji:
Step-by-step explanation:
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lw = 112
Substitute l = w + 9 into the second equation
(w + 9)(w) = 112
w^2 + 9w - 112 = 0
(w+16)(w-7) = 0
w = -16
or
w = 7
we have to take the positive value, so w = 7
l = w + 9
l = 7 + 9
l = 16
The length is 16, and the width is 7
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)
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...............................
It really is five roots in e2020
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Answer:
46765 D
Step-by-step explanation:
y= C x 3^t
= 1000x3^3.5
= 46765
I think!
Answer:
D. 46,765.
Step-by-step explanation:
The exponential function is 1000(3)^t where t is the times in hours.
After 3.5 hours the population is 1000(3)^3.5
= 46,765.
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The percentage of newborns who were boys is 65.71%.
Given that
At a local hospital, 35 babies were born.
There are 23 were boys.
We have to determine
What percentage of the newborns were boys?
According to the question
At a local hospital, 35 babies were born.
There are 23 were boys.
Then,
The percentage of the newborns were boys is determined by,
Substitute all the values in the formula.
Hence, the percentage of newborns who were boys is 65.71%.
To know more about Percentages click the link given below.
That converted into a percentage (×100) is 65.7%
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Answer:
Amount of money saved = $18.87
Step-by-step explanation:
List Price of the item which is bought = $75.50
Now, This item is on discount.
Discount rate offered by the seller on the item = 25%
Discounted Price of the Item = List Price - 25% of List price
⇒ Discounted Price = 75.50 - 25% of 75.50
⇒ Discounted Price = 75.50 - 0.25 × 75.50
⇒ Discounted Price = 75.50 - 18.875
⇒ Discounted Price = $56.63
Now, Amount of money saved = List price - Discounted price
⇒ Amount saved = 75.50 - 56.63
Hence, Amount of money saved = $18.87
From the information we have been given, the original sale price is 75.50 and the discount is 25% of this price.
We need to calculate what value 25% stands for, so:
25 % of 75.50 → (25/100) ×100 → 0.25 ×75.50 = 18. 88
Therefore value of 25% of original price is 18.88 dollars
Rounded off 18.88 = 18.90 dollars.
You will save $ 18.90
The item will be sold to you at:
75.50 - 18.90 = 56. 60 dollars.