Find the solution set of the following equation in simplest a +bi form.
x² - 6x +12 =-10x+3
Please help quick
Answer:
[tex]-2\pm i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]
For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].
[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]
What is the slope of the line in the graph?
Answer:
m=0
Step-by-step explanation:
Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
Answer:
120 bud
Step-by-step explanation:
Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?
8 · 2 12
8 13
8 · 2 13
need its now being timed
Answer:
it would be 8 times 2^13
Step-by-step explanation:
Carter bought a pair of shoes online for $64. He used a coupon code to get a 10% discount. The website also applied a 5% processing fee to the price after the discount. How much did Carter pay for the processing fee? Round to the nearest cent.
Answer:
$60.48
Step-by-step explanation:
Price after the discount = original price - discount
discount = 10% x 64 = $6.4
$64 - $6.4 = $57.60
processing fee = 57.60 x 5% = $2.88
Price paid = $2.88 + $57.60 = $60.48
Pennetta is a wedding planner. She charges a $50 fee plus $100 per guest to plan a wedding for g, the number of guest. Write an equation to determine c, the cost Pennetta charges for planning a wedding for g, the number of guest. This equation can be used to determine how much Pennetta will charge for any given number of guest.
Answer:
C = 100g + 50
Step-by-step explanation:
Find the slope of the line that passes through (4.4) and (5,3)
Answer:
- 1
Step-by-step explanation:
Slope of the line
[tex] = \frac{3 - 4}{5 - 4} \\ \\ = \frac{ - 1}{1} \\ \\ = - 1[/tex]
1. Use "decomposing" to answer the question bellow.
A. What is the area of square E?
B. What is it's side length?
2. If √17 (square root of 17) is a side length of a square, what does that mean about the area? Explain.
3. What is a rational number? Give an example.
4. What is an irrational number? Give an example.
Estimate the value of √70 (square root of 70). Show your work and explain.
Answer:
1A: 29 units²
1B: √29 units
2, 3, 4. see below
5. between 8 and 8.5
Step-by-step explanation:
1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.
Area = 4(0.5)(5 x 2) + (3²) = 29 units²
1B: Square root your answer in 1A. √29 units
Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units
2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.
3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4
4. A number that cannot be expressed as a fraction. E.g. π, e, √3
5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.
Write the quadratic in standard form (x-8)^2 and please explain how you got it if u can cuz im trying to learn .
Answer:
[tex]x^{2} -16x +64 = 0[/tex]
Step-by-step explanation:
[tex](x-8)^{2}[/tex] is the same as saying [tex](x-8)(x-8)[/tex]
therefore, you use FOIL(first outside inside last) to get
[tex]x^{2} -8x-8x+64[/tex]
which is [tex]x^{2} -16x +64 = 0[/tex] in standard form
Please help! Find the value of X
Answer:
16.50
Step-by-step explanation:
divide it to the upper thanks
On a number line , 3.4 would be located... choose all answers that make a true statement
A) to the left of 3.53
B) to the right of 3.69
C) to the right of 3.33
D) between 3.4 and 3.5
Answer:
A and C
Step-by-step explanation:
A:because it is less than 3.53
C:because it is more than 3.33
Raja drove from A to B at an average speed of 50mph
The distance between A to B is 10 Miles
Raja took 30 minutes to drive from A to C
He drove from A to C at an average speed of 62mph
Work out Raja’s average speed as he drove from B to C
Answer:
44.7
Step-by-step explanation:
Speed = distance / time
speed from distance a to b = 50 = 10 / time
time = 10/50 = 12 minutes
Speed from a to c = 62 = distance / 30 minutes
distance = 62 x 0.5 = 31 m
diatance from b to c = 31 - 10 = 21
time = 30 - 12 = 28 minutes
speed = 21 / 28 minutes
31 / 0.47
james lives 4/5 miles from the libary he has already walked 3/4 of the way. How far had james walked
Answer:
600M
Step-by-step explanation:
Convert miles to meters. Then convert the fractions. 1000M divided by 5 = 200. Now times by the numerator of the fraction, which is 4. This gives you 800. Now, 3/4 of 800 = 600. as you divide by the denominator, and times by the numerator. The answer is 600M, or 0.6 Miles.
jeffrey owes his friend $5 how much is jeffteys debt?
Answer:
$5
Step-by-step explanation:
Answer:
$5
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
it is the second answer choice
Answer: B
Step-by-step explanation:
interaction between two different organisms living in close physical association, typically to the advantage of both. each termed a symbiont, must be of different species. can be defined as any kind of relationship or interaction between two dissimilar I guess.
sorry if im wrong
Wendy used felt shapes to make a pattern. Each shape has 5 angles. Write the name of the shape Wendy used.
Find the sine of ZI. J 21 D I Write your answer in simplified, rationalized form. Do not round.
8x - 54 = 82 simplify
Answer:
use brainly points
Step-by-step explanation:
The figure is made up of a hemisphere and a cylinder.
What is the exact volume of the figure?
Enter your answer in the box.
Answer:
90π in^3.
Step-by-step explanation:
Total Volume = volume of cylinder + volume of the hemisphere.
= πr^2h + 1/2*4/3πr^3
= π * 3^2 * 8 + 2/3 π 3^3 ( Note the radius r = 1/2 diameter = 1/2*6 = 3)
= 72π + 18π
= 90π in^3.
Answer: The answer above me is correct.
Step-by-step explanation: good luck on the quiz :)
If a line falls on the points (1, 2) and (8,7), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar.
Answer:
m= 5/7
Step-by-step explanation:
y2-y1 / x2-x1
7-2/8-1
5/7
Which question is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
B.
How much money do Boston residents spend on transportation every day?
OC.
How many Boston residents use public transportation?
OD.
How many times per month do Boston residents use public transportation?
O E.
How long does it take for Boston residents to travel to work?
Reset
Next
Answer:
C
Step-by-step explanation:
The answer is c because there is only one answer for the question.
hey! i’ll give brainliest pls help.
Answer:
hello there!
The correct option should be the second option and the fourth option!
Step-by-step explanation:
comets usually come from the kuiper belt, and the oort cloud.
anyways, hope this helped! qwq
Ethan has a total of $5,800. He deposits $4,500 into a savings account which earns an
annual interest of 4.8%. Which function could be used to model the amount of money,
D, that Ethan has as a function of time, t, since the deposit was made, if he does not
spend any of the money he started with?
Answer:
4.8% of $4,500 = $216
Step-by-step explanation:
use https://www.calculator.net/percent-calculator.html?cpar1=4.8&cpar2=4500&cpar3=&ctype=1&x=112&y=12
it is a calculator for percentages i feel that this will help you out
hope this helps!
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
12+13+29+18+61+35+21 = 189189/7 = 27you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6then, square each calculated value from above
-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36then, add the squared values together
225+196+4+81+1156+64+36 = 1762you would then divide 1762 by 7 (number of data values given orginally)
1762/7 = 251.714finally, take the square root of 251.714 to find the standard deviation
[tex]\sqrt{251.714} = 15.866[/tex]Plz help me i suck at this ;-;
Answer:
The answer is obtuse
Step-by-step explanation:
because a triangle cannot be a right or parallel or a Isosceles.
Hope this helps!:)
Answer:
The correct answer is: Isosceles.
Step-by-step explanation:
First let’s take a look at ‘Right’. Right, is determining the angle, not the side length.
’Obtuse’. Obtuse is also determinin the angle, therefore it cannot be the correct answer.
’Parallel’. It is impossible for a triangle to be parallel, meaning that there are two opposite sides, incapable of touching each other.
’Isosceles‘ for a triangle to be isosceles, it needs two sides made of equal length. This description connects with the question being asked, therefore ‘Isosceles‘ is the correct answer.
In circle Q with m \angle PQR= 58m∠PQR=58 and PQ=4PQ=4 units find area of sector PQR. Round to the nearest hundredth.
Answer:
8.1
Step-by-step explanation:
59/360(π4^2)
= 8.1
i need help plzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
Start box
180 = 89+42+x
180-89-42=x
49 = x
2nd box
180 = 84+58+x
180-84-58=x
38 = x
3rd box
180=74+2x
180-74=2x
106/2 = x
53 = x
4th box
180=102+2x
180-102=2x
78/2 = x
39 = x
4th box
180 = 73+81 +x
180-73-81=x
26 = x
5th box
180=2*54+x
180 - 2*54 = x
72 = x
6th box
180=62-2x
180-62=2x
118=2x
118/2=x
59 = x
7th box
180 = 2*68 + x
180-2*68=x
44 = x
How do you write 6.69x10^-4 in standard form?
Answer:
https://www.calculators.tech/standard-form-calculator
go on MATH.WAY. it'll give you the answer and explanation
Step-by-step explanation:
ASAP
- How did you get the answer?
Answer:
quizlet .
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2/3
Total of 6 Marbles
2+2=4
Fraction is 4/6
Simplified 2/3
Really simple
what's 5/6 as a decimal ?? plz help