Answer:
y = -3x + 11.
Step-by-step explanation:
The slope of the given line segment is (3-7)/(-4-8) = -4/-12 = 1/3.
The midpoint of the line has coordinates (8-4)/2, (7+3)/2.
= (2, 5).
The slope of the perpendicular bisector = -1/ 1/3 = -3.
So it's bisector has equation:
y - y1 = m(x - x1)=
y - 5 = -3(x - 2)
y = -3x + 6 + 5
y = -3x + 11.
P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
https://brainly.com/question/25212173
If 2 coins can be exchanged for 3.3782 dubloons, how many dubloons can be obtained for 9 coins?
(Round to the nearest hundredth)
Answer:
5.33
Hope this helps
What is the value of x?
x= 21
x = 28
x= 35
x= 37
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
HELP PLEASE!!
Write an equation in slope-intercept form for a
line that has a slope of one-half and passes
through the point (4,3). Use the graph below, if
necessary.
Answer:
y = 1/2x + 1.
Step-by-step explanation:
Use the point-slope form of a straight line:
y - y1 = m(x - x1) (where m=slope and(x1,y1) is a point on line).
y - 3 = 1/2(x - 4)
y = 1/2x - 2 + 3
y = 1/2x + 1.
helpppppppppppppppppppppppppppppppppppppppp
Answer:
12/12=1
2.5/2.5=1
5/_=1
mysterty number is 5
5.5./_=1
mystery number is 5
Step-by-step explanation:
During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.
1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.
2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.
3.Approximately how long before the puck will hit the ice?
4.For what values of time is the height invalid?
Answer:
put it in desmos and turn it into table
if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings
formula for interest=principle×rate×time/100
60=x×4×4/100
60=16x/100
16x=6000
x=375
Answer:
C. $375
Step-by-step explanation:
where will the hand of a clock stop if it start at 2 and make 1 by 4 of a Revolution clockwise
Answer:
At 5 o'clockStep-by-step explanation:
Staring point = 2 o'clock
The travel is 1/4 of 12 hour full revolution:
1/4*12 = 3 hoursPoint to stop is the start point plus the travel:
2 + 3 = 5refer to the attachment
precalculus question please help
Answer:
It is the 1st one x=6, y=2
Step-by-step explanation:
you find this out by comparing the degrees in the numerator and the denominator. Have a nice day!!!
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = 2
So the value of x is 2
If Sean reads 1 1/2 pages in 3 1/3 minutes, how many pages does he read in 1 minute?
what is 20/25 as a percent
Answer:
80%
Step-by-step explanation:
Which graph shows the solutions to |x − 2| = 2 ?
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
Id really appreciate if you could help me thx!
Answer:
-3/7
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{(2)-(5)}{(9)-(2)}[/tex] [tex]\frac{-3}{7}[/tex] [tex]-\frac{3}{7}[/tex]Therefore, the answer is -3/7.
20 POINTS HELP! IN PHOTO
What is the product?
(4x) {-3x^8}{-7x^3}
Answer:
[tex]84x^{12}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]
In a regular deck of cards, there are 52 total cards, 26 red, 26 black, and 13 of each of the four suits (hearts, clubs, spades, and diamonds). What is the probability, if you draw a card randomly, that the card will be a heart?
Answer:
13/52 (25%)
Step-by-step explanation:
There are 13 hearts in the deck, and 52 cards in the deck. This means that the probability is 13/52.
Matt está jugando en un juego gana 7 puntos pierde 10 puntos luego vuelve a ganar 2 puntos y luego pierde 8 puntos Cuál es su puntuación final ?
Answer:
La respuesta es 3.
Step-by-step explanation: así que básicamente sus puntos finales son 3.
(1.4,1.6);m=3.1 equation of the line in point slope form
Answer:
y-4=3.1(x-1)
or y-1.6=3.1(x-1.4)
Step-by-step explanation:
Answer:
y = 3.1x - 2.74
Step-by-step explanation:
y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34
= - 2.74
By which rule are these triangles congruent
A. AAS
B. ASA
C. SAS
D. SSS
Answer:
option D
Step-by-step explanation:
this trianle will be congurent by SSS method easily
Answer:
Option D.SSS These triangles congruent with SSS property
Can someone help me?
Answer:
I'm not sure from my answer but I'm going to try
A = { a^2 - 4 = 0 }
A = { a^2 = 0+ 4 }
A = { a^2 = 4}
Take root of both sides
A = {a = 2}
A = {2}
B = { -2, -1, 0, 1, 2}
C = { 1, 2, 3, 4, 5, 6,7}
i) A\B
= {2} \ {-2,-1,0,1,2}
= ⌀ ( "null set" )
ii) (A\B) \C
= ( {2} \ {-2,-1,0,1,2} ) \ C
= ⌀ \ C
= ⌀ \ { 1, 2, 3, 4, 5, 6,7}
= ⌀ ( "null set" )
iii) (A ∪ B) \ C
= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C
= { -2, -1, 0, 1, 2} \C
= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}
= { -2, -1, 0 }
iv) ( A\B) ∩ ( A\C)
= ( { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )
= ⌀ ∩ ⌀
= ⌀
v) ( A ∩ B ) \ C
= ( { 2 } ∩ { -2, -1, 0, 1, 2 } ) \ C
= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }
= ⌀ "null set"
Is -3 the same as 0.3
No they are not same .
Hope it helps
Answer:
Nope! They are not the same. This is because -3 is a negative whole number. On the other hand, 0.3 converts to 3/10 which is a positive decimal number. Hope this helps. I have attached below a number line showing the two different points (with the given number on each end).
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
a cheetah ran 300ft in 2.92 sec what was the average speed in mph
Answer:
70.05 mph
Step-by-step explanation:
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
Read more about sector and circle at:
https://brainly.com/question/16736105
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Solve for x.
X +1/2=3/4
O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4
someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it
100%=(435.60÷88)x100
which is 495.
Answer:
Step-by-step explanation:
435,60:12%
6.478×18.21 Multiply the equation
Answer:
117.96438
Step-by-step explanation:
6.478 x 18.21 = 117.96438
Answer: I believe it is 117.96
Step-by-step explanation:
6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96
Question 1 (2 points)
(01.02
What is the product of 0.51 0.24? (2 points)
1) 0.1224
2) 1.124
3) 11.24
4) 1124
Answer:
0.52 x 0.24 means "about a half times 0.24". Given the multiple choice answers, the correct answer is therefore 0.1224 (since this is the only one smaller than 0.24).
Proof:
0.50 × 0.24 = 0.12
0.01 × 0.24 = 0.0024
And therefore 0.51 × 0.24 = 0.12 + 0.0024 = 0.1224
Step-by-step explanation: