Step-by-step explanation:
let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.
the slope BA = -1
as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).
the slope of CD = -1
as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).
so, both lines are indeed parallel.
the slope CB = +1
as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)
the slope of DA = +1
as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)
so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).
therefore, we have only 90° angles here.
and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.
therefore, this is a square.
and with that it is automatically also a rectangle and a rhombus.
if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each box.
Answer: $14.5
Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage
Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
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I need help please explain your work for number 7 only
Answer:
Transitive property
Step-by-step explanation:
When a=c and b=c, a=b
A would be 16+43
B would be 59
C would be 10+49
How to factor 10n^2 +n -3
and 2d^2=8de+6e^2
Answer:
(5+-1) (2+2
Step-by-step explanation:
Simplify this expression
4X^2y^3 x 2x^3y^4
Answer:
8^5^7
Step-by-step explanation:
Multiply the numbers:
4X^2 y^3 x 2x^3 y^4
8^2 ^3 ^3 ^4
Combine Exponents:
8^2 ^3 ^3 ^4
8^5 ^3 ^4
8^5 ^3 ^4
8^5 ^7
Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.
Given to us:
[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]
Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.
(a)
[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(b)
[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
(c)
[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(d)
[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(e)
[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
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Plxzzz plzzzzzznhelp meeee
Answer: A. An infinite number of diameters can be drawn in a circle.
Step-by-step explanation:
There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.
I got it from Goog|e, I hope it helps.
Answer:
"Only a limited number of radii can be drawn in a circle"
Step-by-step explanation:
A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.
Find the sum.
(7y+7)+(3m−3)+(8x+8)
Thanks!
if any doubt leave a comment
my Christmas present to you
Answer:
ty
Step-by-step explanation:
Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?
Answer:
120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799
the picture i need help with this answer. the problem is in the picture
Answer:
Step-by-step explanation:
If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answer:
mom will let you know
Step-by-step explanation:
shes gone
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
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Don’t understand this anyone help I will give Brainyest thing
Answer:
11.8 meters
Step-by-step explanation:
The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.
The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.
(?)² + 34² = 36²
(?)² + 1156 = 1296 . . . evaluate the squares
(?)² = 140 . . . . . . . . . . subtract 1156 from both sides
(?) = √140 . . . . . . . . . take the square root
(?) ≈ 11.8 . . . meters
The length of the shadow is about 11.8 meters.
Help help math math
Answer:
32
Step-by-step explanation:
hope this helps :)
need help
a rectangular garden is 50m long and 45 m broad A path 2m wide is. running inside the garden . Calculate the cost of gravelling the path at rs 40 per square meter.....
Answer:
Rs. 14560
Hope you could get an idea from here.
Doubt clarification - use comment section.
In rectangle ABCD
L=50mB=45m[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]
[tex]\\ \sf{:}\longrightarrow Area=50(45)[/tex]
[tex]\\ \sf{:}\longrightarrow Area=2250m^2[/tex]
In rectangle PQRS
L=50-2=48mB=45-2=43m[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]
[tex]\\ \sf{:}\longrightarrow Area=48(43)[/tex]
[tex]\\ \sf{:}\longrightarrow Area=2064m^2[/tex]
Now
[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=Area_{(ABCD)}-Area_{(PQRS)}[/tex]
[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=2250-2064=186m^2[/tex]
Cost:-
[tex]\\ \sf{:}\longrightarrow 186(40)[/tex]
[tex]\\ \sf{:}\longrightarrow Rs 7440[/tex]
you buy 5 pounds for 35 how much dose one pound cost
Answer: 35 divided by 5 = 7.
Step-by-step explanation: therefore one pound is $7
what is the measure of angle W?
Answer:
really to easy
so
x=35
w=81
t=70
c=151
Step-by-step explanation:
Evaluate the numerical expression. (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Please Help!
Thank You!
What is the equation of the line that passes through the point (-4,6) and has an undefined slope?
Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems
Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
Two boxes are similar. The longest dimension of the smaller box is 6 inches and its volume is 48 in3. The longest dimension of the larger box is 12 inches. What is the volume of the larger box?
Answer:96
Step-by-step explanation:
its math can someone help
Answer:
$2.5/game
Step-by-step explanation:
To find Slope, Change of rate
find two points on the graph
I selected : (4,14) and (8, 24)
Slope: y2-y1/x2-x1
24-14/8-4
10/4
5/2
=2.5
so the rate of change is $2.5/game
m is a positive integer and n is a negative integer. Which of these is always positive?
(picture posted below)
A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Cannot say
S ANSWER ASAP!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
n
Step-by-step explanation:
it's simple mathematics that's the way it is
I need to know how to get the roots for example what is the root of 2 root 5
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation:
The value of the root of 2√5 is approximately 2.116.
Here, we have,
To find the root of a number, you can use the concept of radicals.
The "root" refers to the inverse operation of raising a number to a power. For example, the square root (√) is the most common root, and it represents finding a number that, when squared, gives the original number.
To find the root of a number, such as the square root (√), you can use the following notation:
√(2 * √(5))
In this case, we have the square root of (2 times the square root of 5).
To simplify this expression further, we can break it down step by step:
Step 1: Simplify the square root of 5:
√(5) = 2.236 (approximately)
Step 2: Substitute the simplified value back into the original expression:
√(2 * 2.236)
Step 3: Simplify the expression:
√(4.472) = 2.116 (approximately)
Therefore, the root of 2√5 is approximately 2.116.
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#SPJ4
th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
Learn with an example
or
Watch a tutorial
Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
-8
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]
[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]
[tex]9-1=8[/tex]
[tex]4-5=-1[/tex]
[tex]= -8[/tex]
Hope this helps.
In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?
A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.Reasons:
The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]
Where;
[tex]\hat y[/tex] = Final exam score;
[tex]\hat x[/tex] = The midterm score;
AJ score in the first test, [tex]\hat x[/tex] = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3
The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
E. None of theseLearn more about regression line equation here:
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Help please!!
Question in picture!
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.