Answers
Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.
Step-by-step explanation:
I would recommend using pascal's triangle to solve this problem.
*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.
Related Questions
Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Answers
Answer:
XY = 6
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 XY = 12 ( divide both sides by 2 )
XY = 6
The length of the side XY in ΔXYZ is 6 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.
We know, sin = opposite/hypotenuse.
Therefore, sin30° = XY/12.
1/2 = XY/12.
XY = 12/2.
XY = 6 units.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
Please Help!!!! This Sucks
Answers
Answer:
Step-by-step explanation:
Find the value [[23]] (step functions) helpp pls im so confused if you could also explain it :3
Answers
I assume [[x]] stands for "the largest integer smaller than or equal to x".
If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.
a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Answers
Answer:
son's present age = 30
father's present age=60
Step-by-step explanation:
his son's present age = x years
his father's present age = 2x years
before 20 years his son's age=(x-20) years
before 20 years father's age=(2x-20) years4(x-20)=(2x-20)
4x-80=2x-20
4x-2x=80-20
2x=60
x=30
A pack of sugar costs £1.25 for 500g. How much for 1kg?
Answers
Answer:
2.50 £Step-by-step explanation:
A pack of sugar costs £1.25 for 500g. How much for 1kg?
500g = 1/2Kg or 0.5 Kg
so 1.25£ is 0.5Kg (1/2)
1.25 * 2 = 2.50£ is your answer
Answer:
2.5
Step-by-step explanation:
Change 500g into kg
500g=500/1000kg
=0.5kg
If 0.5kg cost 1.25
what about 1kg
= (1*1.25)/0.5
= 1.25/0.5
=2.5
Question 7 of 10
Which choices are equivalent to the expression below? Check all that apply.
3√6
A. √54
B. 18
C. √27.4
☐D. √27.√2
□E √9.6
F. 54
PREVIOUS
Answers
Step-by-step explanation:
[tex] = 3 \sqrt{6} [/tex]
[tex] = \sqrt{ {3}^{2}.6 } [/tex]
[tex] = \sqrt{9.6} [/tex]
[tex] = \sqrt{54} [/tex]
The answer is A.
can someone please help mee
Answers
Answer:
0,5 b
Step-by-step explanation:
How many calories does the bran muffin contain? 400 calories 200 calories 650 calories 800 calories
Answers
Answer:
400 calories
Step-by-step explanation:
A bran muffin has around 380 calories, when rounded off it is 400 calories.
Hope I helped
Answer:
A. 400 Calories.
Step-by-step explanation:
Look it up on the net.
If this is wrong, it is because there wasn't enough information given.
Hope this helps!
If not, I am sorry.
Solve for k in g=k-a.
Answers
Answer:
k = g + a
Step-by-step explanation:
g = k - a ( add a to both sides )
g + a = k , that is
k = g + a
Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT
Answers
The following are the appropriate notations is P(EIF)=P(E n F) / P(F).
What is Conditional Probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
As, from the property of conditional probability
P(EIF)=P(E n F) / P(F)
Learn more about conditional property here:
https://brainly.com/question/10567654
#SPJ1
what is the answer??? so confused
Answers
Answer:
3 1/2
Step-by-step explanation:
Put '3' where 'y' is and compute :
[12 -3(3) ] / 2 + 3 [ (2(3)-4 )/3) =
3/2 + 2
= 3 1/2
The line ax − by + 3 = 0 is parallel to the line 3x + 2y − 4 = 0 and passes through the point (1, −2). Find a and b.
Answers
Answer:
a=9
b=-6
Step-by-step explanation:
A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
PLEASE ANSWER IN FRACTIONS
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
first ,let’s calculate the number of bags made by the company that have both buttons and zips :
150-(43+38+34)
=35
a bag that has buttons : either has buttons but no zips or has both buttons and zips
Then
The number of the bags that have buttons is :
43+35 = 78
………………………
Conclusion:
the probability that the bag has buttons is :
[tex]=\frac{75}{150} = \frac{1}{2}[/tex]
(9x + 1) − (−7x² + 4x + 10)
Answers
Answer:
7x² + 5x - 9
Step-by-step explanation:
(9x + 1) - (- 7x² + 4x + 10) ← distribute parenthesis by - 1
= 9x + 1 + 7x² - 4x - 10 ← collect like terms
= 7x² + 5x - 9
Drag a statement or reason to each box to complete this proof.
Given: Quadrilateral ABCD with m∠A=(7x)°, m∠B=(5x)°, m∠C=(7x)°, and m∠D=(5x)°.
Prove: x = 15
Answers
2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]
3) Substitution property
4) Combine like terms
Fireside Flowers has 75 daisies, 60 lililes, and 30 roses. What is the greatest common factor Fireside Flowers can use to divide the flowers into equal groups
Answers
Answer:
3
Step-by-step explanation:
bc im vary smert
Answer:
15
Step-by-step explanation:
Start by factoring each number into primes.
30 = 2 · 3 · 5
60 = 2 · 2 · 3 · 5
75 = 3 · 5 · 5
Look for prime numbers used in all three factorizations and include these common primes in the greatest common factor (GCF).
Since 3 is used at least one time in all three factorizations, the GCF will contain one 3.
Since 5 is used at least one time in all three factorizations, the GCF will contain one 5.
Therefore, the GCF Fireside Flowers can use to divide the flowers into equal groups is 3 · 5 = 15.
The original price of a nail file is $0.60. How much will Emir pay if he buys it during the sale?
Answers
On a map 1/4 inch between represnts an actual distance of 2 miles between the location what is the actual distance in miles between two cities that are 3 3/4 inch apart on the map
Answers
Answer:
30 miles is the actual distance.
Step-by-step explanation:
3 3/4 = 15/4
15*2=30
Find the measure of each missing angle.
Answers
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
[tex]\sf \boxed{\bf \angle 1 = 52^ \°}[/tex]
AB // CD and AC is transversal.
[tex]\sf \boxed{\bf \angle 3 = 38^\circ}[/tex] {Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
[tex]\sf \boxed{\bf \angle 2 = 79^ \°}[/tex]
Select the correct answer.
What is the output of the function f(p) = 3p – 2 when the input is 2?
A.
0
B.
2
C.
4
D.
6
E.
8
Answers
f(p) = 3p - 2
f(2) = 3(2) - 2
f(2) = 6 - 2
f(2) = 4
Therefore, the answer is 4, so option C :)
Cooper was out at a restaurant for dinner when the bill came. His dinner came to $28. After adding in a tip, before tax, he paid $33.32. Find the percent tip.
Answers
Cooper left his dinner server a 19% tip.
To find the percent tip, we need to first subtract the cost of the meal from the total amount paid, which will give us the tip amount:
Tip amount = Total amount paid - Cost of the meal
Tip amount = $33.32 - $28
Tip amount = $5.32
Now we can calculate the percentage of the tip by dividing the tip amount by the cost of the meal and multiplying by 100:
Percent tip = (Tip amount / Cost of the meal) x 100
Percent tip = ($5.32 / $28) x 100
Percent tip = 0.19 x 100
Percent tip = 19%
Therefore, Cooper gave a 19% tip on his dinner.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ1
Joshua is 1.45 meters tall. at 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. he stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. find the height of the tree to the nearest hundredth of a meter .
Answers
Answer:
hes a titan
Step-by-step explanation:
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answers
Answer:
see below
Step-by-step explanation:
Acid in = acid out acid out = 10 liters of 20% = .2 * 10 = 2
x = 5% amount
10-x = 40% amount
.05x + .40 ( 10-x) = .20 (10)
.05x + 4 - .4x = 2
-.35x = -2
x = 5.7 liters of 5 % 10 - 5.7 = 4.3 liters of 40%
x = 4 is a solution to x + 2 > 5.
true or false
Answers
Answer:
False
Step-by-step explanation:
Beacuse the equation is 4+2>5 with equals 7
Answer:
x = 4 ...In the equation, substitute 4
4 + 2 > 5
6 > 5
(This sign > means greater than)
(This sign < means less than)
In this case of the equation, 6 > 5, it's True
Write an equation for the line parallel to the given line that contains C.
C (1,8); 5/7x + 7
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 5/7x + 51/7}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}[/tex]
Find: [tex]\textsf{Write an equation that follows that criteria}[/tex]
Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - 8 = 5/7(x - 1)}[/tex]Distribute
[tex]\textsf{y - 8 = (5/7 * x) + (5/7 * (-1))}[/tex][tex]\textsf{y - 8 = 5/7x - 5/7}[/tex]Add 8 to both sides
[tex]\textsf{y - 8 + 8 = 5/7x - 5/7 + 8}[/tex][tex]\textsf{y = 5/7x - 5/7 + 8}[/tex][tex]\textsf{y = 5/7x + 51/7}[/tex]Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.
Write the equation of the line that is parallel to the line y = -x - 2 through the
point (4,-2)
Answers
Answer:
y = -x +2
Step-by-step explanation:
Equation of a line in slope-intercept form :
y = mx + b where m = slope and 'b' is the y-axis intercept
y = -x-2 is in this form..... slope m = -1 b = -2
the parallel line will have the same slope = -1 and will look like
y = -x + b
to calculate the value of 'b' for this line, substitute in the point given:
-2 = - (4) + b shows b = 2
so your line becomes y = -x + 2
Answer:
y =-x + 2
Step-by-step explanation:
Equation of line:Parallel lines have same slope.
y = -x - 2
Compare with the equation of the line in slope y-intercept form: y =mx + b
Slope = m = -1
So, equation of line: y = -x + b
Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.
-2 = -4 + b
-2 + 4 = b
[tex]\sf \boxed{b = 2}[/tex]
Equation of the required line:
[tex]\sf \boxed{\bf y = -x + 2}[/tex]
Can you solve this question and explain it for me? Thank you
Answers
By direct observation on the graph and concept of relative minimum, we conclude that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).
How to determine the relative minimum of a given graph
Let be f a function that exists in a interval [a, b], there is a value c such that f(c) < f(x), for x ≠ c and x ∈ [a, b]. In this case, f(c) is the relative minimum of f. By direct observation, we find that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).
To learn on relative minima: https://brainly.com/question/6422517
#SPJ1
If the sales tax on a $825 television set is 7%, how much will you pay in total?
Answers
Answer:
$882.75
Step-by-step explanation:
825 x 7% = 57.75 <- thats the price of the tax
57.75 + 825 = 882.75
The charge for skating is $6.35 for skate rental, 1 hours
of skating at $18 per hour, and an additional $1 fee.
What is the total cost (c) for skating?
Answers
Answer:
c = 25.35
Step-by-step explanation:
Comment
Cost (c) = skate rental + time + miscellaneous
Givens
skate rental = 6.35 / hourusing the rink = 18.00miscellaneous = 1Answer
Cost = 6.35 + 18.00 + 1
Cost = 25.35 , but 24.35 is an hourly charge,
Which of the following best describes the folding method needed to create a
perpendicular line segment?
A. Fold tracing paper at a point on the line segment and twist it, creating an acute angle.
B. Fold tracing paper at a point on the line segment and extend the line segment indefinitely.
C. Fold tracing paper at a point not on the line segment so that the line segment lies upon itself.
D. Fold tracing paper so that the line segment's endpoints line up with each other.
Answers
Fold tracing paper so that the line segment's endpoints line up with each other , Option D is the correct answer.
What is a Perpendicular ?A perpendicular is a line drawn at 90 degree to a given line or line segment .
Fold tracing paper so that the line segment's endpoints line up with each other.
After drawing a line segment ,
when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.
Therefore, Option D is the correct answer.
To know more about Perpendicular
https://brainly.com/question/18271653
#SPJ1
Answer:
The correct answer is C.
Step-by-step explanation:
Fold tracing paper so that the line segment's endpoints line up with each other.
