Answer:
2
Step-by-step explanation:
Plot the image of point B under a reflection across line m
Answer:
Step-by-step explanation:
If a point (x, y) is reflected across a line, image of the point will be at the same distance from the line as the original point is.
In fact line of reflection works like a mirror.
In the figure attached,
Distance of point B from the line 'm' = 6 units
Therefore, distance of the image point B' from line 'm' = 6 units (on opposite side of the line of reflection)
For each of the following properties write down a matrix that has this property or explain why there is no such matrix (Hint: Check first whether the dimensions add up)
(a) The column space contains (1,0,0)T, (0,0,1)T while the row space contains (1,1)T and (1, 2)T.
(b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
(c) The column space is R4 and the row space is R3.
Answer:
a) A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
b) attached below ( Matrix dose not exist )
c) attached below ( Matrix does not exist )
Step-by-step explanation:
a) Matrix
A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
From the matrix ; Column 1 and Column 2 Belong to COL(A)
while : (1,1)^T = ( 1,0 )^T + ( 0,1 )^T i.e. (1,1)^T ∈ Row( A )
and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T i.e. (1, 2)^T ∈ Row( A )
Hence ; all requirements are fulfilled in Matrix A
b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
Matrix is Non-existent because condition is not met
attached below
c) Rank | A |
dimension of column space= 4 , dimension of Row space = 3
Given that ; column space ≠ Row space
Hence Matrix does not exist
Please help me please !
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option C
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
NEED ASAP
What is the product?
а-3
11
5
15а а-3
о
о
Cul —
за
о за
O3
Answer:
1/3a
Step-by-step explanation:
[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]
Heyy!! Can someone help me please!!
3 (5x + 2) - 2 (4x -4)
I don’t know what to doooo!!
Answer:
7x + 14
Step-by-step explanation:
the first thing to do is expand the parentheses/brackets.
3(5x + 2) -2(4x - 4) will be
3(5x) + 3(2) -2(4x) -2(-4)
= 15x + 6 - 8x + 8
collect like terms
15x - 8x + 6 + 8 = 7x + 14
the answer is 7x + 14
Answer:
3(5x+2)-2(4x-4)
15x+6-8x+8
15x-8x+6+8
7x+14
Write the word sentence as an equation.
The quotient of a number n and 5 is 18.
Answer:
n/5 = 18
Step-by-step explanation:
Quotient means division.
n/5 = 18
I can not seee the answers
Answer:
What do you mean
Step-by-step explanation:
Question 5 of 10 If f(x) = 3x-2 and g(x) = x2 +1, find (f +9)(x). A. x2 + 3x+1 B. x2 + 3x-1 C. 472–1 D. 2x+3
Answer:
(3x+2)^2+1
Step-by-step explanation:
2 show by calculation of nature of triangle AMK
3 CULCULATE BP MK AK
Answer:
if he is the to form a 666
Step-by-step explanation:
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3 16. If 270º < AS 360° and cos(A)= 3/4 then determine the exact values of sin (A) and tan ( A)
Answer:
[tex]{ \boxed{ \tt{trig \: identity : { \bf{ { \cos}^{2} A + { \sin }^{2} A = 1}}}}} \\ \therefore \: { \green{ \tt{ \sin A = \sqrt{1 - { \cos }^{2}A } }}} \\ \sin A = \sqrt{1 - {( \frac{3}{4}) }^{2} } \\ \sin A = \frac{ \sqrt{7} }{4} = 0.661 \\ \\ { \green{ \tt{ \tan A = \frac{ \sin A }{ \cos A} }}} \\ \tan(A ) = \frac{ \frac{ \sqrt{7} }{4} }{ \frac{3}{4} } = \frac{ \sqrt{7} }{3} = 0.882 \\ \\ { \underline{ \blue{ \tt{ becker \: jnr}}}}[/tex]
The exact values of sin (A) and tan ( A) are 0.661 and 0.882 respectively.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We have been given that 270º < AS 360° and cos(A)= 3/4.
We are required the exact values of sin (A) and tan ( A)
Since, cos(A)= 3/4.
cos ²A + sin² A = 1
sin A = √ 1- cos ²A
sin A = √ 1- (3/4) ²
Sin A = 0.661
Tan A = sin A / Cos A
Tan A = 0.661/ 3/4 = 0.882
Hence, the exact values of sin (A) and tan ( A) are 0.661 and 0.882 respectively.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
What is the answer to this question
Answer:
its b because when subtract 30-24=6
Lines s and t are perpendicular. If the slope of line s is 5, what is the slope of line t
Write the equation of the circle with center C(-5,8) and radius = 7
Answer:
( h + 5 )^2 + ( y - 8 ) ^2 = 49
Step-by-step explanation:
Equation of a circle:
( x - h )^2 + ( y - k )^2 = r^2
Where ( h , k ) = center and r = radius
We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8
We are also given that the circle has a radius of 7 meaning that r = 7
Now that we have identified each variable we plug the values into the equation
( h - (-5)^2 + ( y - 8 )^2 = 7^2
Our final step is to simplify
we get that the equation of the circle is
( h + 5 )^2 + ( y - 8 ) ^2 = 49
By the way ^ means exponent
Pls ASAP Select the correct answer.
What is the sum of this geometric series?
9514 1404 393
Answer:
D. 21/2
Step-by-step explanation:
It is probably easiest to add up the three terms.
For n=1, the first term is ...
8(1/4)^(0) = 8
The second term is ...
8(1/4)^1 = 2
The third term is ...
8(1/4)^2 = 8/16 = 1/2
The sum of the series is ...
8 + 2 + 1/2 = (16 +4 +1)/2 = 21/2
The Boffo Product Company sells a waffle iron on which they have done product testing. They have determined that the amount of time the product will last can be described by a normal distribution. In particular, the average waffle iron lasts for 12 years and one standard deviation is 8 months. How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time
Answer:
They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average waffle iron lasts for 12 years and one standard deviation is 8 months.
Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]
How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?
This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.5 = \frac{X - 96}{8}[/tex]
[tex]X - 96 = -1.5*8[/tex]
[tex]X = 84[/tex]
84 months = 7 years.
They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.
Find the slope of the line through the points (−18,−12) and (0,8).
Answer:
9/10
Step-by-step explanation:
y2-y1÷x2-x1
-18-0/-12-8
-18/-20
9/10
Answer:10/9
Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9
Niu earned $312 on an investment of $800. How much would $1100 have earned in the same
investment?
Answer:
429
Step-by-step explanation:
312/800 = .39
1100 x .39 = 429
Answer:
$429
Step-by-step explanation:
--------------------
[tex]\frac{312}{800} =\frac{x}{100}[/tex]
Cross multiply
[tex]800x=31200[/tex]
Divide both sides by 800
[tex]x=39[/tex]
So, Niu earned 39% on the investment of $800
So, let's find out how much $1,100 would have earned him in the same investment.
--------------->>>>
[tex]\frac{x}{1100}=\frac{39}{100}[/tex]
Cross multiply
[tex]100x=42900[/tex]
Divide both sides by 100
[tex]x=429[/tex]
--------------------
This means that Niu $1,100 would have earned Niu $429 in the same investment.
Hope this is helpful
The circle shown has a radius of 4 cm.
What is the area of the circle to 1 decimal place?
Answer:
A = 50.2 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = (3.14) * 4^2
A =50.24
To 1 decimal place
A = 50.2 cm^2
Answer:
50.3 cm^2 to 1 dec. place.
Step-by-step explanation:
Area = pi r^2
= pi * 4^2
= 16 * pi
= 50.265
The radius of a plant pot is 4.5 cm, and its height is 6 cm. What is the volume of the pot?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
381 cm³
Step-by-step explanation:
Volume of the pot = volume of a cylinder
Volume of the pot = πr²h
Where,
π = 3.14
radius (r) = 4.5 cm
h = 6 cm
Substitute
Volume of the pot = 3.14*4.5²*6
Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)
which rule applies to this equation? (6)(3p) = 18p
Answer:
multiplication rule
Step-by-step explanation:
because 6 * 3p
is equal to 18p
hope this helps you please like and mark as brainliest
Find csc0
Please Help!!!!!
=======================================================
Explanation:
The terminal point is at (x,y) = (3,-4)
Apply the pythagorean theorem to find that x^2+y^2 = r^2 solves to r = 5. This is the length of the hypotenuse.
Then we can determine the cosecant of the angle theta using the formula below
csc(theta) = hypotenuse/opposite
csc(theta) = r/y
csc(theta) = 5/(-4)
csc(theta) = -5/4
Side note: csc = 1/sin
Express the following repeating decimal as a fraction in simplest form.
Answer:
[tex]0.\overline{369} = \frac{41}{111}[/tex]
Step-by-step explanation:
x = 0.369369369...
10x = 3.69369369...
100x = 36.9369369...
1000x = 369.369369...
1000x - x = 369
999x = 369
[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]
How does this post work?
'निसंस्मरण' कसको कृति हो
Answer:
ok
Step-by-step explanation:
Express the null hypothesis and the alternative hypothesis in symbolic form.
Use the correct symbol (μ,p,σ) for the indicated parameter.
A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.
a. H0: μ<14
H1: μ≥14
b. H0: μ=14
H1: μ<14
c. H0: μ>14
H1: μ≤14
d. H0: μ=14
H1: μ>14
Answer:
a. H0: μ<14
H1: μ≥14
Step-by-step explanation:
Mean symbol:
The mean symbol is given by [tex]\mu[/tex]
A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.
At the null hypothesis, we test if the proportion is of less than 14 oz, that is:
[tex]H_0: \mu < 14[/tex]
At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:
[tex]H_1: \mu \geq 14[/tex]
So the correct answer is given by option a.
need help asap plz!!!!!
Answer:
Step-by-step explanation:
In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...
y = 4x + 3
The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.
Kin travels 440 miles by train at an average speed of 110 mph.
Ayaan flies the same distance at an average speed of 880 mph.
Find the difference between their travel times.
Give your answer in hours.
Answer:
3 1/2 hours
Step-by-step explanation:
time = distance/speed
440/110 = 4 hours
440/880 = 1/2 hours
4 minus 1/2 is 3 1/2
Answer:
hi
Step-by-step explanation:
i just need some points sorry not sorry
Is there a local minimum at x= -4?
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.
__
Similarly, the point (4, 16) is a local maximum.
consider the polygon shown. Determine the value of y. PLEASE HELP
Answer:
y = 64°
Step-by-step explanation:
From the picture attached,
m(∠E) = 90°
m(∠E) = m(∠D)
m(∠B) + 67° = 180° [pair of linear angles]
m(∠B) = 113°
m(∠C) + 75° = 180°
m(∠C) = 180° - 75°
= 105°
Since, sum of interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides
For n = 5,
Sum of interior angles = (5 - 2) × 180°
= 540°
m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°
m(∠A) + 113° + 105° + m(∠D) + 90° = 540°
(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]
2(m∠D) = 232
m(∠D) = 116°
m(∠D) + y° = 180° [Linear pair of angles]
116 + y = 180
y = 64°
What is the value of c?
A. 68
B. 71
C. 38
D. 34
Answer: C
Step-by-step explanation:
See diagram above