Simplify the given expression below:
(3 + 4i) + (5 - 2i)
1) -2 + 6i
2) 2 - 2i
3) 7 +3i
4) 8 + 2i
Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
In a two-digit number, the tens' digit is 1 less than the units' digit. If the digits are
interchanged, the sum of the number obtained and the original number is 143. Find
the number.
Answer:
67
Step-by-step explanation:
Number: AB
A = B-1
BA + AB = 143
10*B + A + 10*A + B = 143
11A + 11B = 143
A + B = 13
(B-1) + B = 13
2B = 14
B = 7
A = 6
The number is 67
check: 6 = 7-1 and 67 + 76 = 143
HELP ME PLEASE!! Thank you!!
Answer:
Step-by-step explanation:
so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo
they tell us the Hypotenuse ( Hyp) and one angle and want that side Opposite ( Opp) of the angle... sooo use the mnemonic
SOH CAH TOA
to help remember how the sin , cos, and tan functions fit on a triangle
there problems b/c easy A's when you get this. :P so learn it, know it, live it :D
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
now look at which one of the above formulas have the things we know and want to find
Sin looks like a good choice b/c it's got Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function
Sin(45) = Opp / 6
see how I got that?
[tex]\sqrt{2}[/tex] / 2 = Opp / 6
6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp
3[tex]\sqrt{2}[/tex] = Opp
the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex] just leave it
there is your answer
X = 3[tex]\sqrt{2}[/tex]
Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?
Answer:
A = 20 + 2p
Step-by-step explanation:
Geometry ,help ya girl outt
What is the product of 5(5x ^2+ 2x - 4)?
A 25x^10 + 10x^5 – 20
B 25x^2 + 10x - 20
c 10x^2 + 7x - 9
Answer:
-540
Step-by-step explanation:
5(25x+ 2x - 4)
5(27x - 4)
-540
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long, how tall is the flagpole?
Answer:
11'12
Step-by-step explanation:
so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)
What is the distance between points (-3, -1) and (2, 3)?
Answer:
26
Step-by-step explanation:
decimal form 5.09901951
4
10
-6
-544
32"
2 3 4 5 6
8
9 10
O y = -0.2(x + 3)2 – 4
Oy= -0.2(x – 3)2 - 4
Submit Answer
O y = 0.2(x + 3)2 - 4
O y = 0.2(x - 3)2 – 4
Answer:
10 -6 -544 32" 2 3 4 5 6 8 9 10 O y = -0.2(x + 3)2 – 4 Oy= -0.2(x – 3)2 - 4
A blueberry muffin recipe calls for 3/4 cup of
sugar. How many cups of sugar would be
needed to make the muffin recipe 3 times?
Answer:
9/4 or 2 1/4 cups of sugar.
Step-by-step explanation:
To find the answer we multiply 3/4 by 3. Because the bottom stays the same, we wont multiply it. Since 3 x 3 = 9, it will be 9/4. Therefore, 9/4 or 2 1/4 is your answer.
Patrick can make 185 tacos in 2 hours. How many tacos can he make in one hour?
Answer:
92.5
Step-by-step explanation:
Which of the fractions are in ascending order below (from smallest to largest) *
(a) 3/4, 1/4, 1/2
(b) 1/2, 1/4, 3/4
(c) 1/2, 3/4, 1/4,
(d) 1/4, 1/2, 3/4
Answer:
B
Step-by-step explanation:
because i know and you have to trust me
Evaluate 1/2(4^3-6*3^2)
Simplify the question !! :))
Answer:
We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]
Hope this helps!
Sin θ = ____ csc θ = ____ cos θ = ____ sec θ = ____ tan θ = ____ cot θ = ____ Equation of the Circle: _ the unit circle (r = 1), find the value of the six trig ratios:
Answer:
a. Sin θ = y/r
b. csc θ = r/y
c. cos θ = x/r
d. sec θ = r/x
e. tan θ = y/x
f. cot θ = x/y
g. x² + y² = 1
Step-by-step explanation:
Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²
a. Sin θ = opposite/hypotenuse = y/r
b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y
c. cos θ = adjacent/hypotenuse = x/r
d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x
e. tan θ = opposite/adjacent = y/x
f. cot θ = adjacent/opposite = 1/tan θ = x/y
g. Equation of the Circle: _ the unit circle (r = 1),
Since x² + y² = r² ,for a unit circle, r = 1. So,
x² + y² = 1²
x² + y² = 1
20) The sales tax on a $25 shirt purchased at the Laker Store in Russell Springs is $1.99. What is the sales tax rate in Russell Springs?
Answer:
the cost is $26
i think ths answer would be help full
determine the missing side lengths
Answer:
Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!
Step-by-step explanation:
Answer:
base =3in and hypotenuse =3√2
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin 45=p/h
sin45=3in/h
h=3in/sin45=3√2 inch
relationship between perpendicular and base is given by tan angle
tan45=P/b
b=3in/tan45=3in
Write the decimal 0.532 as a percent.
a. 53.2%
b. 532%
C. 5.32%
d. 0.532%
Write the equation of each line in slope-intercept form
Answer:
1) y=4/5x-8
3) y=7/5x -2
Step-by-step explanation:
Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))
I hope this helps :)
Determine the slope of the line that passes through the points
(4, 4) and (5,0).
Answer:
B) -1/2
Step-by-step explanation:
Slope is change in y divided by change in x.
So, 6-4/-4-0 = 2/-4 so reduces to -1/2
Answer:
Slope = -4
Step-by-step explanation:
Slope = change in y ÷ Change in x
[tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]
Write the number seventy-nine million seven thousand 
Answer:
79, 007, 000
Step-by-step explanation:
79, 007, 000
Hope that helps!
Answer:
seventy-nine million seven thousand
Step-by-step explanation:
#WhenYouSideStepTheProblem
Solve for X! 30 points! Please help!
What is the solution to the inequality -3x - 42 > 3?
O A. X > -13
O B. X<-13
o c. X > -15
O D. x < -15
Answer:
the solution is D, x<-15.
Answer:
D.x<-15
Step-by-step explanation:
-3x-42>3
-3x>3+42
-3x>45
x<-45/3
x<-15
is P= {a, b} then the number of subsets of P is what?
Answer:
4
Step-by-step explanation:
The number of subsets of P simply refers to the power of the sets.
P(P) = 2^n(P)
where P(P) is the power of the set P
n(P) is the cardinality of set P
P(P) = 2^2 = 4
Write a recursive function for each of the following sequences
9, 15, 27, 51, 99
Answer:
N=6
Step-by-step explanation:
Jasmine always carries cash. Her friends think she should get a credit card. Which reasons show the benefits of having a credit card?
******Select all that apply.******
helps save money
safer
more convenient
free to use
rewards programs
Answer:
A and b
Step-by-step explanation:
it could also be c but it's definitely a and b
Answer:
Might be:
Safer
Rewards programs
More convenient
Online shopping
Step-by-step explanation:
A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.
Answer:
Step-by-step explanation:
The slope-intercept formula is:
y = m x + b,
or: y = b - m x, since the rate is negative.
For the 1st formula we have: y = 30 and x = 2
For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing )
30 = b - 2 m
12 = b - 5 m
--------------------
b = 30 + 2 m
12 = 30 + 2 m - 5 m
3 m = 18
m = 18 : 3 = 6
b = 30 + 2 * 6 = 30 + 12 = 42
Answer:
y = 42 - 6 x
Find the area of the compound shape below.pls help
Answer:
22cm²
Step-by-step explanation:
For the area of triangle,
base = 2 + 2 + 2 = 6cm
height = 4cm
Area = 1/2 x base x height
= 1/2 x 6 x 4
= 12cm²
For area of the rectangle,
length = 5cm
breadth = 2cm
Area = length x breadth
= 5 x 2
= 10cm²
Area of compound shape = 12 + 10 = 22 cm²
For rectangle ABCD, find m∠ADB.
Answer:
we know all angles are 90° in the rectangle
therefore, angle d = bdc+bda = 90
=> 31+bda = 90
=>angle bda= 59
The measurement of the angle ADB should be considered as the 59 degrees.
Calculation of the measurement of the angle ADB:Since we know that all angles in the rectangle should be of 90 degrees
So,
Here angle d = bdc + bda
= 90
Now
31 + bda = 90
So, bda = 90 - 31
= 59
hence, The measurement of the angle ADB should be considered as the 59 degrees.
Learn more about rectangle here: https://brainly.com/question/1916433
Plzzz help 5 min leftttt
Answer:
Time for learning?
Answer is A i think