Answer:
The left side of the equation is ignored
i is treated as -1, which it is not, it is instead the square root of negative 1.
To solve it properly we get:
(2 - 5i)(5 + 2i)
= 10 + 4i - 25i - 10i²
= 10 + 21i + 10
= 20 - 21i
Answer:
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
Step-by-step explanation:
Given two numbers that are being multiplied are:
(2-5i)(5+2i)
We will solve the question to get the right result so that the error can be detected.
So, multiplying both
[tex]= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10[/tex]
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
Smallest to largest
Help!
Answer:
I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.
Step-by-step explanation:
hope this helps :P hav a fantastic day
A regular polygon has it exterior angles all equal to 2°.
Find the number of sides of the polygon.
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.
Step-by-step explanation:
360/2 = 180
therfore it has 180 sides
fivestar farm purchased 2400 apple trees. If 80 trees can be planted on each acre of land, how many acres will be needed to plant all the trees?
Answer:
30
Step-by-step explanation:
To find the answer you would need to do 2400 divided by 80 which = 30
Hope this helped :)
What is the value of x in the equation 5/2x + 2 = 3.5
ahh math
Answer:
x=5/26
Step-by-step explanation:
5/2x+2=3.5
5/2x+2=3×5
5/2x=15-2
5/2x=13
5=26x
5/26=x
x=5/26
hope this help if you want a better explanation I'll explain in the comments or something
Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(65,−16)
Equation Form:
x=65,y=−16
Step-by-step explanation:
Hey there!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
does anyone know the answer
(s/3) -4=2
Answer: 18
Step-by-step explanation:
Answer:
s=18
Step-by-step explanation:
Solve for s by simplifying both sides of the equation, then isolating the variable.
Brainly pls :)
PLEASE HELP!!
what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?
a) the line will intersect
b) the slope of the line will change from positive to negative
c) (4,-4) will become a point on the line
d) the y-intercept will change from negative to positive
Answer:
B choice
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.
Answer: b) the slope of the line will change from positive to negative
If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race?
Answer:
The distance travel during race is 13 m
Step-by-step explanation:
Approximate the solution of the system to the nearest thousandth.
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
Which of the following pairs are NOT equivalent statements?
In x = y and x = e^y
log⬇️p N = b and b^p = N
x = sqrt y and x = y^1/2
log⬇️b N = p and B^p = N
Answer:
the answer is b
Step-by-step explanation:
bc they are not both equivalent.
The pair (B) is not equivalent after using the property of logarithm option (B) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
It is given that:
The expression is given in the options.
As we know, the expression can be defined as the combination of constants and variables with mathematical operators.
It is required to find the equivalent pairs:
A) In(x) = y and [tex]\rm x = e^y[/tex]
As we know from the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]
Again using the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are not equivalent.
C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]
Using the property of exponent we can write the above expression:
The pairs are equivalent.
D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.
Learn more about the Logarithm here:
brainly.com/question/163125
#SPJ2
Solve for y, z, x or t: x/m-x=n if m≠1
0.75(8+e)=2-1.25e
Solve for e please
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
Evaluate the expression when a=−15 and b=−5.
b2/a + 5
Answer:
-2.5Step-by-step explanation:
Evaluate the expression:
b²/(a + 5)When a= −15 and b=−5
Substitute values:
b²/(a + 5) =(-5)² / (-15 + 5) =25/(-10) =-2.5------------------------------------------------------------------
In case the expression is b²/a + 5, the value is:
b²/a + 5 =(-5)²/(-15) + 5 =25/(-15) + 5 =- 5/3 + 5 =10/3-------------------------------------------------------------------
Linear Equation, Need Solved Asap <3
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
1. (1,1) (2,6) (3, 11)
2. Yes
Step-by-step explanation:
1. 5(1)-4 = 5-4 = 1
5(2)-4 = 10-4 = 6
5(3)-4 = 15-4 = 11
(I just chose 3 simple x values and plugged them into the equation to get the y values then wrote it as an ordered pair)
2. 5(-5)-4 = -25-4 = -29
-29 = -29
(Same as number 1 but I used the given x value then I checked if the y value I got matched the ordered pair)
18.
Can someone help me with this?
Answer: A
Step-by-step explanation:
The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points
Answer:
68
Step-by-step explanation:
Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.
please help me with this! Thank youu
Answer:
y=-3x+2
y = [tex]\frac{1}{5}[/tex]x - 5
Step-by-step explanation:
Question 1
It is given that;
- one of the lines has an equation of; y = -3x-7
- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are parallel
When two lines are parallel, their slope is the same, hence the equations of the given line would look like this;
y = -3x + 2
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
Questions 2
It is given that;
- one of the lines has an equation of y = -5x + 1
- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are perpendicular
When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;
y = [tex]\frac{1}{5}[/tex]x - 5
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
2y - 10x = -8-
can someone help me and get Y by it self
Answer:
y=-4+5x
Step-by-step explanation:
To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides
2y-10x+10x=-8+10x
Simplify and you will get 2y=-8+10x
Now divide everything by 2
2y/2=-8/2+10x/2
Simplify and you will get y=-4+5x
Type the correct answer in the box. Use numerals instead of words. Ryan earned $528 shoveling driveways in the winter and $374 mowing lawns in the spring. He used $216 of the money he earned to buy a new bicycle. How much does Ryan have now? Ryan has $ now.
It says round all calculations to one decimal point
Pls show workings it due in a hour
Answer:
[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]
Step-by-step explanation:
The distance between two coordinates is given by:
[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.
The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:
[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]
The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:
[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]
[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
Therefore, the total perimeter of the triangle is:
[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].
What is the recursive formula of the arithmetic sequence 0,11,22,33,
Answer:
f(1)=0
f(x+1)=f(x)+11
Carmen pays $20 to rent a scooter for 4 hours. The cost c, to rent a scooter is proportional to the number h of hours that she rents the scooter. Write an equation that represents the situation. How much would it cost Carmen to rent the scooter for 6 hours
Answer: 30$
Step-by-step explanation:
Equation
C=5h
c=5(6)
c=30
Please help me
Solve five ninths plus four sixths
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
11/9
Step-by-step explanation:
5/9 + 4/6 = 11/9
Answer: sixty six fifty fourths
30/54 + 36/54 = 66/54
Step-by-step explanation: Find a common denominator
Here, it looks like we can multiply the 9 × 6 to get 54
Then we divide the original denominator into the common denominator, then multiply the numerator by the quotient to get an equivalent fraction to add.
Starting with the 5/9 54÷9 = 6 The quotient, 6 multiplies by the numerator 5
6 × 5 = 30 That is the new numerator.
30/54 is the equivalent fraction for 5/9
Now 4/6 54÷6 = 9 Multiply this quotient, 9 times the numerator 4
9 × 4 = 36 That is the new numerator
36/54 is the equivalent fraction for 4/6
Add the numerators of the equivalent fractions keep the denominator the same:
30/54 + 36/54 = 66/54
It is possible to simplify this process. 4/6 is equivalent to 2/3 or 6/9
We could add 5/9 + 6/9 to get 11/9
66 and 54 are both divisible by 6, so 66/54 can be simplified to 11/9 or the mixed number 1²/₉
Can some one solve 2 I’ll give a crown
Answer:
Hi! The correct answer is 16!
Step-by-step explanation:
~Use the formula (b/2)^2 in order to create a new term to complete the square~
Answer:
the answer is option : c 16
An expression is shown below:
the square root of 32 plus the square root of 2
Which statement is true about the expression?
the square root of 32 plus the square root of 2
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 5 times the square root of 2.
It is irrational and equal to 5 times the square root of 2.
Answer:
C or D...
im guessing
Answer:
√32=√(16*2)=4√2
4√2 + √2=5√2
That is why is irrational
Step-by-step explanation:
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
Alfonso scored 18 points during his last basketball game, which was 10% of the points the entire team scored.
The entire team scored
points
Answer:
Alfonso scored 18 points We are told that is 10% Hence the team is missing 90% So x × .10= 18Hence x= 180 which is the total team pointsWhich equation is shown by the model?
Answer Asap please!
Which expression is equivalent to the given expression? 10q + 5
Answer: i think the answer is b
Step-by-step explanation:
think u
() = 5
3 + 2
2 + − 2; = −1
