PLEASE HELP - System of equations matrix prepresents
9514 1404 393
Answer:
the marked choice is the correct one
Step-by-step explanation:
A suitable calculator or web app can reduce this matrix for you.
The solution is represented by the matrix ...
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-1\\0&0&1&3\end{array}\right][/tex]
On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
(–6, 0)
(0, –6)
(0, 2)
Answer:
A. (-6,0)
Step-by-step explanation:
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
Given that, on a coordinate plane, line AB goes through (-2, 4) and (2, -8). Point C is at (6, 4).
What is the slope of a line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
The slope is represented by the letter m, and is given by, m = tan θ = (y2 - y1)/(x2 - x1)
Now, slope of line AB with (x1, y1) = (-2, 4) and (x2, y2) = (2, -8) is
Slope = m = (-8-4)/(2(-2)
= -12/4
= -3
Slope perpendicular to AB = -1/m = -1/(-3)
=1/3
Put m=1/3 and C(6, 4) in y=mx+c, we get
4 = 1/3 (6) + c
⇒ c = 4-2
⇒ c = 2
Substitute m=1/3 and c = 2 in y = mx+c
That is, y = x/3 + 2
⇒ 3y = x+6
Point on the y-axis lies is 3(0) = x+6
⇒ x=-6
So, the coordinate is (-6, 0)
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
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using a 21 sided polygon as a base,complete the following table:
POLYHEDRON:. PYRAMID. PRISM
# OF FACES:. _____. 23
Answer: i dont understand
Step-by-step explanation:
please answer ASAP!
question:
a fish tank has a volume of 1176 cubic inches. the length and height are 14 and 8 inches each respectively. using this information, find the missing width.
(please put the work since i need to put it in)
please and thank you!
Answer:
volume is the product of the 3 dimensions. so devide the volume by the height and by the length to get just the width
1176 / 14 / 8
= 10.5
help me pls? asap? <3
Answer:
{A, B, C, D}
domain = {A, B, C, D}
Happy learning!
--Applepi101
Is 8ft equal to 3yd[tex]8ft=3yd?[/tex]
Answer:
False
Step-by-step explanation:
There is 3 feet in every yard so if we multiply by 3, we get 9. This is more than 8 so it is NOT equal to 3 yards.
Best of Luck!
Kind of struggling with this would anyone be able to explain step by step? Id really appreciate it :)
Answer:
75
Step-by-step explanation:
this problem statement tries to confuse us. there is no pi involved - also because there are no round surfaces and edges involved.
what do you think the surface area of such a 4-sided pyramid consists of ?
think !
there are the 4 walls or sides. and then there is the bottom too (if you lift the pyramid up, yes, the "floor" or bottom also belongs to the surface area).
each "wall" or side is actually a triangle.
and the bottom is a square.
what is the area of a triangle (At) ?
At = base length × height / 2 = 3×11/2 = 33/2 in²
what is the area of a square (As) ?
it is a special form of a rectangle, where length = width.
the area of a rectangle (Ar) = length × width.
and the area of a square (As), where length = width is
As = side length × side length = length² = 3² = 9 in²
our pyramid now has 4 "walls", all of the same size, so we need 4 times the area of such a single triangle.
and then add the bottom area.
=> the pyramid surface area (Ap) is
Ap = 4 × At + As = 4×33/2 + 9 = 132/2 + 9 = 66+9 = 75 in²
Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
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volume is 12000 what is diameter
I would greatly appreciate it if someone could help me with this. A car travelled 400 km in 5 hours. Joe calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Joe did incorrectly?
It sounds like Joe calculated 5/400 = 0.0125
He divided in the wrong order. It should be 400/5 = 80 since we divide distance over time to get the speed (or rate).
-----------------
In terms of x and y, we basically are saying
slope = rise/run
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (400 km)/(5 hrs)
slope = 80 km per hour is the speed
Find area of shape?
Answer:
521.1 mm²
Step-by-step explanation:
The shape is made up of a semicircle and a trapezoid.
Area of the shape = area of the semicircle + area of the trapezoid
= ½(πr²) + ½(a + b)*h
Where,
r = radius of the semicircle = ½(20) = 10 mm
a = 20 mm
b = 32 mm
h = height of trapezoid = 14 mm
Plug in the values
Area of the shape = ½(π*10²) + ½(20 + 32)*14
= 157.1 + 364
= 521.1 mm²
Which statement explains the difference between a plane and a ray?
A ray contains an infinite number of points, and a plane does not have width or depth.
A ray can be used to create other geometric shapes, and a plane is always part of a shape.
A plane does not have a formal definition, and a ray is described through undefined terms.
A plane continues infinitely in one direction, and a vertex does not have width or depth.
A plane is an undefined term of geometry.
The statement that explains the difference is (c) A plane does not have a formal definition, and a ray is described through undefined terms.
How to explain the difference?In geometry, a plane do not have a particular definition.
The definition of a plane is depedent on the example or concept that is being describe.
A ray on the other hand is defined as a function of the undefined terms of geometry.
Hence, the statement that explains the difference between a plane and a ray is (c)
Read more about rays and planes at:
https://brainly.com/question/14366932
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
Answer:
Step-by-step explanation:
[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]
use a calculator fo find the value
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
------------------------------
I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
what is the perimeter of the rectangle:
answers:44 m
44 square meters
44m2
44 cubic meters
top of the rectangle 12m
bottom of the rectangle 12m
side of the rectangle 10m
side of the rectangle 10 m
Answer:
44m
Step-by-step explanation:
perimeter=(12+12)+(10+10)
=24m + 20m
=44m
OR
{2×12)+(2×10)
24m + 20m
44m
According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7
For EACH ordered pair, determine if its a solution to 2x+9y=13
(4,-5)
(-7,3)
(-8,0)
(2,1)
2x+9y=13
Answer:
[tex]x = \frac{13 - 9y}{2} [/tex]
Step-by-step explanation:
[tex]2x = 13 - 9y \\ x = \frac{13 - 9y}{2} [/tex]
3
1 point
]
- +
Simplify the following expression:
4
11
27
3
4
4
1 point
(2-72-5
5
Simplify the following expression:
Type your answers
6
9514 1404 393
Answer:
(d) 2 11/12
Step-by-step explanation:
[tex]\dfrac{2}{3}-\dfrac{5}{4}+\dfrac{7}{2}=\dfrac{2}{3}+\left(\dfrac{14}{4}-\dfrac{5}{4}\right)=\dfrac{8}{12}+\dfrac{27}{12}=\dfrac{35}{12}=\boxed{2\dfrac{11}{12}}[/tex]
I need help ASAP anyone
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
the small intestine is about 23 feet long while the large intestine is only 5 feet long what is the ratio of the large intestine to small intestine write in 3 ways
Answer:
it's answer is 4:1
Because length of small intestine is 6 m and length of large intestine is 1•5m
So 6/1•5 =4:1
In the figure, the circle with center A transforms to produce the circle with center A'Which transformation took place?
A. dilation about the origin by factor of 3
B. vertical stretch with respect of the x-axis by a factor of 2
C. Horizontal stretch with respect to y-axis by factor.
D. dilation about the origin by a factor of 2
Answer:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
CHEGG The accompanying observations are precipitation values during March over a 30-year period in Minneapolis-St. Paul. 0.32, 0.47, 0.52, 0.59, 0.77, 0.81, 0.81, 0.90, 0.96, 1.18, 1.20, 1.20, 1.31, 1.35, 1.43, 1.51, 1.62, 1.74, 1.87, 1.89, 1.95, 2.05, 2.10, 2.20, 2.48, 2.81, 3.00, 3.09, 3.37, 4.75 (a) Construct a normal probability plot for this data set. Hint: You can use the R software. Issue this command (cut and paste the 2 rows of code below in the R command line): qqnorm(c(0.32,0.47,0.52,0.59,0.77,0.81,0.81,0.90,0.96,1.18,1.20,1.20,1.31,1.35,1.43,1.51,1.62,1.74,1.87,1.89,1.95, 2.05,2.10,2.20,2.48,2.81,3.00,3.09,3.37,4.75))
Answer:
Mean 1.580666667 1.769333333
Standard Deviation 0.890741799 1.123161779
Step-by-step explanation:
When we run the commands in the R software we get the graphs as follows.
The commands were
qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37))
and
qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))
We can plot the graphs in any other plotting software .
The results would be same .
We see there's a slight difference between the two graphs.
One curve goes above ( Minneapolis) for 0.4 and the other ( for St Paul) is below 0.4
IS THIS A RIGHT TRIANGLE OR NOT ?
The table top of a side table is triangle shapef with side lenghts of 12 in , 22.5 in , and 25.5 in
Answer:
Yes it's a right triangle
Step-by-step explanation:
IF it's a right triangle
a² + b² will equal c²
-----------------------
25.5² = 650.25
12² + 22.5² = 650.25
Therefor this IS a right triangle
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7 - 32
- I = 12
The solution is r =
Answer:
Step-by-step explanation:
[tex]7- \sqrt[3]{2-x} =12[/tex]
we have to just keep in mind to do the same operation to both sides of the equal sign
[tex]7-7- \sqrt[3]{2-x} =12-7[/tex] ; subtract 7 from both sides
[tex]- \sqrt[3]{2-x} = 5[/tex] ; multiply both sides by -1
[tex]\sqrt[3]{2-x} = -5[/tex] ; raise both sides to the power 3
2-x = (-5)³
2-x = -125 ; subtract 2 from both sides
-x = -125-2
-x =-127; multiply both sides by -1
x= 127
SOMEONE PLEASE HELP! I don’t know how to do this !
9514 1404 393
Answer:
136
Step-by-step explanation:
The x-value at one end of the beam will be where f(x) = 0.
0 = -x²/272 +17
x² = 17(272) = 4624
x = ±√4624 = ±68
The beam extends from x=-68 to x=68, so has a width of ...
68 -(-68) = 136
__
Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.
Evaluate 3/2y - 14/3x when y=6 and x=3
Answer: -47/36
Step-by-step explanation:
3/2y-14/3x
as x=3 and y=6
3/2(6)-14/3(3)
3/12-14/9
1/4-14/9
9-56/36
-47/36
Answer:
- 5
Step-by-step explanation:
[tex]\frac{3}{2}y-\frac{14}{3}x[/tex]
[tex]\frac{3}{2}(6)-\frac{14}{3}(3)[/tex]
9 - 14
- 5
Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is [tex]f(x)=\sqrt{x-5}[/tex]
for function to exist
[tex]\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5[/tex]
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
jack works after school. each day he is paid a set amount, plus an hourly wage. look at the table. choose linear function f jack can use to find his pay.
Answer:
C
Step-by-step explanation:
I found the slope which is 28-22 / 1.5-1 = 12
I plug in the hours to 12x+10 and it matched
5. Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the given equation. Show your work. (3,4) y = 1/2x-1
Answer:
I don't no answer sorry
Step-by-step explanation:
you follow me
A 16 inch pizza is divided between eight students. What is the length of the crust for one of the slices of pizza? Answer should be written in terms of pi.
Answer:
[tex]\pi (inches)[/tex]
Step-by-step explanation:
[tex]16 inch -pizza, radius=8 inch\\Circumference=2\pi r=2\pi \times8=16\pi \\LC=\frac{16\pi}{16} =\pi (inches)[/tex]
