The product will be a real number when x = 4 and y = -5.
Which values of x and y should we use?We have the product of complex numbers:
[tex](4 + 5i)*(x + yi)[/tex]
We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:
[tex](x + yi) = (4 - 5i)[/tex]
Now, if we take the product, we get:
[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]
So we can see that the outcome is a real number.
Then we must have x = 4 and y = -5.
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Answer: C
Step-by-step explanation:
Can someone give me a simple explanation on how to simplify radicals.
Answer:
Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.
Step-by-step Have explanation:
a great day
Please some one help with this question
Answer:
Where is the picture????
Which function is increasing?
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answer:
the answer I believe will be 25.16
last option is the answer to the question
Sum= 5; Product = 6
Answer:
2 and 3
Step-by-step explanation:
[tex]3*2=6\\3+2=5[/tex]
Idil wants to ride her bicycle 41.4 miles this week. She has already ridden 15 miles. If she rides for 4 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
6.6
Step-by-step explanation:
41.4-15 = 26.4
26.4 divided by 4 equals 6.6
Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
How find the average number of miles she would have to ride each day to meet her goal?To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:
Average miles per day = (Total miles - Miles already ridden) / Number of days remaining
Given information:
Total miles she wants to ride = 41.4 miles
Miles already ridden = 15 miles
Number of days remaining = 4 days
Now, let's calculate the average miles per day:
Average miles per day = (41.4 - 15) / 4
Average miles per day = 26.4 / 4
Average miles per day = 6.6
So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
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Find the equation of the line that passes through the point (-8,15) and is perpendicular to the equation below.
y = -4/5x + 5
A. y = -5/4x + 5
B. y = -4/5x - 7
C. y = -4/5x + 23
D. y = 5/4x + 25
Please help asap!
Answer:
[tex]y = \frac{5}{4} x + 25[/tex]
Step-by-step explanation:
We were told that the equation of the line we are looking for is perpendicular to
[tex]y = - \frac{4}{5} x + 5[/tex]
We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore
[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]
[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]
[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]
Please answer fast i really need this so i can get good grades.
The Hormel Corporation has an annual dividend rate of $1.04. If you owned 5,000 shares of
Hormel, how much would you receive annually in dividends?
$4,900
$5,000
$5,100
$5,200
Answer:
$4,900
Step-by-step explanation:
[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]
This simplifies to 4807.7, which you can round to $4,900.
Need help please answer ASAP!
Problem 16
Answer: Choice (3)Work Shown:
[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]
I factored out x, then divided both sides by (2a-5)
=========================================================
Problem 17
Answer: Choice (2)Work Shown:
1 yard = 3 feet
1/3 yard = 1 foot
x/3 yards = x feet
In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.
#16
2ax-5x=2x(2a-5)=2x=2/2a-5Option C
#17
3feets=1yardSo
xfeet=1/3×x yard=x/3yardWhich is the rational number?
Answer:
F
Step-by-step explanation:
Evaluating the expression :
√8 × √2√1644 is clearly a rational number.
Hence, the right option is F.
PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's use slope - point form of line to get the required equation ~
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
where,
m = slope of the line ( given in question )[tex] \sf{y_1 = 6} [/tex][tex] \sf{x_1 = 9} [/tex]Now, let's put in the values ~
[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]
So, the correct choice is A
7.
Lines AE and BD are tangent to circles O and P at A, E, B, and D, as shown in the diagram below. If
AC: CE = 5:3, and BD = 56, determine and state the length of CD.
145
U.
Р
56
3
E
B
2
Answer: 21
Step-by-step explanation:
The measure of the tangent to the circle CD = 21
What is a Circle?A circle is a closed two-dimensional 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 perimeter 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
Given data ,
Let the 2 tangents to the circle be AE and BD respectively
The measure of the line segment BD = 56
Now , the ratio of the line AE is
AC : AE = 5 : 3
The measure of AE = measure of CD
Let the value of AC = 5x
Let the value of AE = 3x
Now , the measure of AE = measure of BD
Substituting the values in the equation , we get
5x + 3x = 56 be equation (1)
On simplifying the equation , we get
8x = 56
Divide by 8 on both sides of the equation , we get
x = 7
Now , the measure of CD = 3x
Substituting the value of x in the equation , we get
CD = 3 ( 7 ) = 21
Therefore , the measure of CD = 21
Hence , the measure of CD = 21
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Can some one help me
Answer:
The side b is 2√6 unit
Step-by-step explanation:
in right triangle ΔABC,∠C=900,a=5,c=7;c is
the side opposite to the right angle, so it is hypotenuse,
aandb are the adjacent sides of the right angle .
We know in right triangle ΔABC,a²+b²=c²
∴5²+b²=7²or
b²=49−25=24
∴√b²=√24
b=√24
b=2√6
. The side b is 2√6 unit [Ans]
AB = 7 cm
CB = 5 cm
AC = 2√6cm
According to Pythagoras Theorem,
AC²=BC²+AB²
(2√6)²=5²+7²
24=25+49
24=74
Hence, it is not a right-angled triangle ABC.
100 points! plus brainlyist!
Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).
Select the correct graph for the function f(x) = 3x + 4 .
Answer:
No graph was provided but Ive attached my own
Step-by-step explanation:
f(x) = 3x + 4 → y = mx + b
y - intercept (b) is 4
slope (m) is 3 so the rise / run = 3 / 1
help please
What is e in math?
e is the Exponential Constant or Euler's Number.
It has a value of 2.718281828...
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
e to the n is given by:
[tex]\huge{e}^{n}= [\sum_{k=0}^{∞} (\frac{{n}^{k}}{k!})][/tex]
Please help asap please
Answer:
3rd one
Step-by-step explanation:
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
Answer:
Step-by-step explanation:
Blue triangle
a = 4x + 2
b = 5x - 4
c = 7x + 7
-------------------------------------------------
perimeter = a + b + c
4x + 2 + 5x - 4 + 7x + 7
16x + 5
Blue triangle Perimeter = 16x + 5
--------------------------------------------------
Red triangle
a = x + 3
b = x + 7
c = 2x - 5
perimeter = a + b + c
x + 3 + x + 7 + 2x - 5
4x + 5
Red triangle Perimeter = 4x + 5
-----------------------------------------------------
The difference between
Larger triangle -> Blue
Smaller triangle -> Red
(16x + 5) - (4x + 5) = 12x
------------------------------------------------------
Perimeter when x = 3
Blue triangle Perimeter = 16x + 5
16*3 + 5 = 53
Red triangle Perimeter = 4x + 5
4*3 + 5 = 17
What fraction is equal to 0.4 (with a line over the four)
A. 44/9
B. 4/99
C. 4/9
D. 9/4
Answer:
4/9 = 0.4 with a line over the 4
Step-by-step explanation:
Answer:
C. 4/9
Step-by-step explanation:
On dividing 4/9 :
4/90.444....0.4 (bar on the 4)Option C gives the right answer.
An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590
Answer:
280 seats
Step-by-step explanation:
40*7 = 280
Answer:
18
Step-by-step explanation:
A customer in Arizona where sales tax is 5.6% orders a cheeze pleeze bites subscription that cost 5.40 every 2 months how much sales tax is collected in a year
Answer:
see the attachment.
the answer is $ 32. 40/ Year
Luca's science class is making slime from cornstarch and glue. Luca is helping pass out materials. He gives each student 80 grams of cornstarch from a 2-kilogram bucket. If Luca's class has a total of 21 students, how many grams of cornstarch will he have left?
Answer:5
Step-by-step explanation:
How much is 30 pounds if the price per pound is 3.50.
pls help in geometry
Answer:
58.5; 300; 196.5
Step-by-step explanation:
Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2
Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2
Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2
Does anyone know how to do these two questions I have to turn this in ( I will be very grateful
Answer:1. 72.5
Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5
number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320
A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no
what is equivalent to -3/2
Answer:
-6/4
Step-by-step explanation:
equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4
Helppppppppppp meeeeer
Answer:
the answer will be (A)
Step-by-step explanation:
i think the closest will be the first option..
(sorry that i made a mistake earlier)
hope it helps .. please mark brainliest ♡
Answer:
the answer is A
Step-by-step explanation:
5 - 9 round up
1 - 4 round down