Answer: Choice B
[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]
===============================================================
Explanation:
Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is
c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)
This represents the length of the vector <-4,7>
Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.
The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.
3. The sum of the second and third terms of a Geometric Progression is 48. If the sum of third and fourth terms is 144, find the first term of the progression.
Answer:
gọi
Step-by-step explanation:
We have that the first term of the progression is
b=4
From the Question we are told that
Third terms of a Geometric Progression is 48
Sum of third and fourth terms is 144
[tex]x_3+x_4=144[/tex]
Generally the equation for the common ratio is mathematically given as
[tex]\frac{br^2+br^3}{br+br^2}=\frac{144}{48}\\\\\frac{br^2+br^3}{br+br^2}=3[/tex]
r=3
Therefore
Since
[tex]br+br^3=48\\\\b(3)+b(3)^3=48[/tex]
b=4
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Given the directed line segment AB: Point A is the _____ with coordinates Point B is the point with coordinates ______.
In the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).
What is a line segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length. A square, for instance, is a two-dimensional geometry with four equal-length sides. In a square, all four interior angles are right angles, and the opposing sides are parallel to one another.So, according to the given image:
Coordinates of point A: (1, 3)Coordinates of point B: (4, 6)Then, Point B is the point with coordinates (4, 6), while Point A is the line (1, 3).
Therefore, in the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).
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The correct question is given below:
Given the directed line segment AB: Point A is the line with coordinates ______ and Point B is the point with coordinates ______.
se trata?
7
Calcula el área de un rectángulo cuya base es 8 y altura 4
17. Kayla has a 20-quart jug of lemonade that she is pouring into cups for her daughters soccer team practice. If each cup holds 2 3/4cups, how many cups can she fill?
Answer:
She will fill 7 cupsexplanation in the attachment.....
Step-by-step explanation:
gd afternoon
have a lovely day
If h(x) = 6 - x, what is the value of (he H) (10)?
-4
-2
O 10
• 16
Answer:
h(10) = -4
Step-by-step explanation:
h(x) = 6 - x
h(10) = 6-10
h(10) = -4
The table below shows a linear relationship between x and y.
х
-4-2
0
6
у
8
5
2
-7
Which graph below represents the relationship in the table?
х'y
62
Use properties of exponents to simplify the expression.
Answer: it's A
Step-by-step explanation: Its A I bet nonono C
How do you write 2 and 6 hundred thousandths in standard form?
Answer:
that would be written as 2.006
Step-by-step explanation:
0•200 and 0•600 it can be written as this respectively
yo answer please lm/ao
Answer:
A
Step-by-step explanation:
5 should signify the height in which the ball was thrown from.
8 less than y is 2
HELPPPP!!!!!!!!!!!
9514 1404 393
Answer:
y -8 = 2
Step-by-step explanation:
To find the value that is 8 less than y, you subtract 8 from y.
y -8 = 2 . . . . . 8 less than y is 2
From start to finish, a machine can fill a bottle of water, seal it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds
Answer:
47 bottles of water will be packed in 480 secs
Step-by-step explanation:
480/8.6 = 46.5116279 round it off and it would be 47
If the range of f(x)= 4x+1 is 9 find its domain. *
Answer:f(x)=4x+1=9
=> 4x=9-1
=> 4x=8
=>x=2
Step-by-step explanation:
A cyclist travel from place A to B at a speed of 10km/h and back at 15km/h. What are the average mean of the whole journey
Answer:
12km/hr
Step-by-step explanation:
Avg. speed = 2×10×15/10+15
= 2×10×15/25=12km/hr
I’ll make you as brainliest do these to problems show ya work !
Answer:
1. 7
2. 13
Step-by-step explanation:
1. x = 2 and y = 3
y^2 - x
= 3^2 - 2
= 9 - 2
= 7
2. x = 5 and z = 4
z + x + z
= 4 + 5 + 4
= 9 + 4
= 13
Answer:
7 for the first question and 13 for the second one
Find the linear function for f(1) = 3 and f(4) = 0
Answer:
Step-by-step explanation:
Evaluate the expression for u = –8. Simplify your answer. –8 u
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Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
Re-write the equation in slope-
intercept form.
3x + y = 15
Answer:
y=3x+15
Step-by-step explanation:
You just move 3x to the other side.
Answer:
y = 3x + 15 is the equation rewritten into slop intercept form
Rosa completed her chemistry lab in 35.7 minutes. Dale completed the same lab in 36.5 minutes. Who completed their lab first, Rosa or Dale? A Rosa B Dale
Answer:
A. Rosa
Step-by-step explanation:
Since both measurements of time are using the same units, minutes, we can simply compare them and decide which one is the smallest number. The smallest number represents who took the least amount of time and therefore shows who completed their lab first.
35.7 _ 36.5
35.7 < 36.5
Rosa with 35.7 minutes, completed her lab first.
Answer:
Rosa would have finished first
Step-by-step explanation:
If Rosa finished her chemistry lab in 35.7 minutes and Dale in 36.5 it doesn't matter about the decimal 35 comes before 36 therefore Rosa finished first.
solve each equation for y
2x+y=5
2x-y+=5
x+2y=5
Answer:
1. y=5-2x
2. -y=5-2x
3. [tex] \frac{5 - x}{2} [/tex]
Step-by-step explanation:
1. 2x+y=5
y=5-2x
2. 2x-y=5
-y=5-2x
3. x+2y=5
2y=5-x
[tex] \frac{5 - x}{2} [/tex]
please mark me brainliestWrite the equation of a line that has slope and y-intercept 4.
Answer:
y=4x+4
Step-by-step explanation:
y-intercept of 4 is (0,4)
y=mx+b, where m is the slope and b is the y-intercept
y= 4x+4
What is the range of the following function?
If the 102,619 residents of a city are divided into 57 equal groups, then some residents don’t fit into a group.
How many residents would be in a group?
How many residents would not fit into a group?
Hey there! Here is your answer:
102,600 would be in a group. 19 would not be in a group.
Step-by-step explanation:
We can figure this out by doing 102,619 divided by 57. This gives us:
1,800 R 19
Now we need to multiply 1800 by 57 to see how many residents there are:
1,800 x 57 = 102,600
Our remainder tells us how many residents would not fit into a group. Since our remainder is 19, 19 would not be in a group.
I hope this helps!
Can someone please help me
Q 13 /
G___R___L
GL= GR + RL
GL = ( 6x - 3) + (2x+9) = 8x +6
GR = RL
6x - 3 = 2x+9
6x -2x = 9+3
4x = 12 —> x= 12/4 —> x = 3
GR = 6x - 3 = 6(3)-3= 18 -3 =15
RL= 2x+9 = 2(3)+9= 6+9=15
GL = 8x +6 = 8(3)+6=24+6=30
or ; GL= GR + RL = 15+15= 30
SO ; GR = 15RL = 15GL = 30______o____o______
Q 14 /m < IFD = m< WFD + m< IFW
125 = (x - 10) + ( 2x + 15)
125 = 3x + 5
3x = 125 - 5
3x = 120
x= 120/3
x = 40
m< WFD = x - 10 = 40 - 10 = 30
m< IFW = 2x +15 = 2(40) + 15 = 80 + 15 = 95
So;x = 40m< IFW = 95m< WFD = 30I hope I helped you^_^
Write each decimal as a percent and a fraction -0.04
Answer:
-4% -1/25
Step-by-step explanation:
To convert a decimal to a percentage, multiply it by 100.
-0.04 * 100 = -4
To convert a decimal to a fraction, put the decimal as a fraction over 1 and multiply until the numerator (top number) is a whole number and then simplify.
[tex]\frac{-0.04}{1}[/tex] x [tex]\frac{100}{100}[/tex] = [tex]\frac{-4}{100}[/tex]
-4/100 simplified = -1/25 (because 4 goes into 100 25 times)
The rectangles are similar. Find x.
Answer:
From scale factors:
[tex] \frac{18"}{12"} = \frac{x}{5"} \\ \\ x = \frac{18" \times 5"}{12"} \\ \\ x = \frac{90"}{12"} \\ \\ x = 7 \frac{1}{2} "[/tex]
citation for website
Answer:
Go to Chegg. Com- they have really good citations for websites and books
Step-by-step explanation:
(ii) A perpendicular drawn from the vertex of the right angled triangle divides the triangle into two triangles similar to each other. Prove it.
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Answer:
similar by AA
Step-by-step explanation:
Each of the smaller right triangles shares an acute angle with the original (largest) triangle, so all of the triangles are similar by the AA similarity postulate.
. What is the location of E on the decimal number line below?
please help
Answer:
4.57
Step-by-step explanation:
There are 10 lines in between 4.5 and 4.6, so we can assume each line adds 0.01
Two functions are_______
equivalent if their
graphical representations are the same (always, sometimes, always)
Two functions are always equivalent if their graphical representations are the same.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.
Two functions are always equivalent if their graphical representations are the same.
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Sorry it’s a bit blurry
Answer:
[tex] = 3e + 10f - 9[/tex]
Step-by-step explanation:
[tex]4e + 2f - 9 + 8f - e[/tex]
[tex]3e + 2f - 9 + 8f[/tex]
[tex] \boxed{\green{= 3e + 10f - 9}}[/tex]