Answer:
I) √29
ii) 3√5
iii) 5√5
iv) √41
v) √5
vi) 6√2
Step-by-step explanation:
1)
Given complex numbers -1+i and -3-4i
The points are ( -1 , 1) and (-3 , -4 )
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]
2)
Given complex numbers 1+i and 7-2i
The points are ( -3,4) and (-6,-1)
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]
3)
Given complex numbers -3 +4i and -6-i
The points are ( -3 ,4 ) and (-6 ,-1)
[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]
4)
Given complex numbers are -2+3i and 2-2i
The points are ( -2 ,3) and (2 , -2)
[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]
5)
Given complex numbers are 3 and 5+i
The points are( 3,0) and (5,1)
[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]
6)
Given complex numbers are -4+5i and 2-i
The points are ( -4 ,5) and ( 2,-1)
[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]
Question in picture below will give brainly
Answer:
only student ll (2)
Step-by-step explanation:
what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=4^x[/tex]
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]
[tex]k=0[/tex]
In other words, the range is all positive real numbers.
Thus,
[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
g(x)=3x-5 find g(-2)
Answer:
g(2) = -11
Step-by-step explanation:
So, g(-2), basically meaning that x = -2.
Since we know that, we need to plug -2 into all of the x's.
g(2) = 3(-2) - 5
g(2) = -6 - 5
g(2) = -11
The required value of g(2) would be -11.
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question following as:
g(x) = 3x-5
We have to determine the value of g(2) to the given function.
As per the given question, we have
⇒ g(x) = 3x-5
So, g(-2), this meaning that x = -2.
Now, substitute the value of x = -2 in the given function,
⇒ g(2) = 3(-2) - 5
⇒ g(2) = -6 - 5
Apply the addition operation, and we get
⇒ g(2) = -11
Therefore, the required value of g(2) would be -11.
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Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (-1, 2)
Slope: 1.
Answer:
y=x+3
Step-by-step explanation:
same as the last one =)
A survey showed that 72% of
teens bought new athletic shoes for the
new school year. Based on that survey,
how many teens in a group of 225 bought
new athletic shoes for the new school
year?
Answer:
162
Step-by-step explanation:
225 x 0.72 = 162
Help a birb. Get a crown.
Answer:
6.
in 24/4=6,
24 is the dividend
4 is the divisor
6 is the quotient
in 4*6 = 24,
4 and 6 are the factors
24 is the product
7. division is an operation on two numbers to find the quotient
8. fact family is a group of related facts using the same numbers
9. multiplication is an operation on two numbers to find the product
Answer:
6. 24/4 = 6
7.24
8.4
9.6
4 * 6 = 24,
4 și 6 sunt factorii
24 este produsul
7. împărțirea este o operație pe două numere pentru a găsi coeficientul
8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere
9. multiplicarea este o operație pe două numere pentru a găsi produsul
Step-by-step explanation:
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
**********************
Answer:
4
Step-by-step explanation:
you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X
plz help! will give brainliest!
x^6
When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:
x^2 * x^4 = x^(2+4) = x^6
can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are boys and 75% of them are girls. The probability that boys passed in Statistics is 0.4 and the probability that girls passed in Statistics is 0.25. One student is selected at random. What is the probability that the selected student is passed in statistics?
Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−7x+3
y=−x−3
Answer:
(1,-4)
Step-by-step explanation:
Given:
y = −7x+3
y = −x−3
Computation:
y = −7x+3......eq1
y = −x−3.......eq2
Eq 1 - 2
-6x + 6 = 0
x = 1
So,
y = −7x+3
y = −7(1)+3
y = -4
So,
(1,-4)
can you help me with this question please
Answer:
correct answer it's A
give me a like at least please
Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !
Step-by-step explanation:
step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out
PLEASE HELP ME I need the answer asap cause my grade is low and this determines my final.
Answer:
i cant see the graph zoom in
Step-by-step explanation:
Answer:
I'm sure it's 2/3
Step-by-step explanation:
the slope is positive and it rises up 2 and over 3
What is the temperature if it is 9° colder than 15 F
Answer:
24 Degrees Farinhieght.
Step-by-step explanation:
15 degrees farinhieght added to 9 is 24 degrees.
3/5 c = 9 what is the answer
A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses
Answer:
13.87
Step-by-step explanation:
the absolute value of 15.3 is the opposite of 15.3?
Answer:
No. The absolute value of 15.3 is 15.3, not the opposite.
Step-by-step explanation:
Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.
Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
30a+6ad
30ad
30a+(6a⋅d)
(6a⋅5)+(6a⋅d)
11a + d
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
6a x d = 6ad
Answer:
A
Step-by-step explanation:
Which statement best describes a unit rate?
1. John drove 350 miles in 5 hours
2. John drove 10 miles
3. John drove a car and a motorcycle
4. John drove 25 miles in 1 hour
Answer:
4. John drove 25 miles in 1 hour
Step-by-step explanation:
The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.
The statement which best describes a unit rate is John drove 25 miles in 1 hour .
What is unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
According to the question
Best describes a unit rate is that which have second term as 1 unit
So,
Only John drove 25 miles in 1 hour satisfy the condition ,
Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .
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A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?
Answer:
12.75
Step-by-step explanation:
If you make a proportion: 48/1=612/x
1(612)= 612
612/48
12.75 hours
At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A car is traveling at a rate of 48 miles per hour.
To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:
⇒ distance ÷ rate
⇒ 612 miles / 48 miles/hour
Apply the division operation, and we get
⇒ 12.75 hours
Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.
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What is the inverse of the function f(x) = x +3?
1- First, replace f(x) with y
f(x) = x +3 ⇒ y = x + 3
2. Replace every x with a y and replace every y with an x .
y = x + 3 ⇒ x = y + 3
3. Solve the equation from Step 2 for y.
x = y + 3 ⇒ y = x-3
4 - Replace y with f⁻¹(x).
f⁻¹(x) = x-3
The inverse is f⁻¹(x) = x-3
PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOW
What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42
Answer:
Its 6.12 × 10^42
Step-by-step explanation:
U have to break it into pieces.. Np Merry Christmas
In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.
Answer:
C. Right and isosceles
Explanation:
Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.
Hope this helps :)
Answer:
It is C.
Step-by-step explanation:
Hope this helped have an amazing day!
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire scored. How many did the scored
Answer:
45
Step-by-step explanation:
yee
IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!
Which number is missing on the following number line?
Answer:
21
Step-by-step explanation:
It is going by multiples of 7, so the answer is 21.
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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Which of the following is a true statement about the rhombus shown
Answer:
Option D is the correct answer
Step-by-step explanation:
Since, diagonals of a rhombus bisects at right angles.
[tex]\therefore m\angle STP = 90\degree \\ [/tex]
9514 1404 393
Answer:
D) m∠STP = 90°
Step-by-step explanation:
In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)
However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.
m∠STP = 90°
−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)
Answer:
Your answer is going to be m=-9
Step-by-step explanation:
(-4(m+3))/-4=(24)/-4
m+3=-6
-3 -3
m=-9
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place
Answer: V = 311.0
Step-by-step explanation:
Formula: [tex]V = \pi r^2h[/tex]
[tex]V=\pi (3)^2 (11)[/tex]
[tex]V=99\pi[/tex]
V = 311.02
V = 311.0