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]
jeffrey owes his friend $5 how much is jeffteys debt?
Answer:
$5
Step-by-step explanation:
Answer:
$5
Step-by-step explanation:
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]
A 10 foot long fence post is placed in a hole that is 3 feet deep.
How much of the post is above ground?
Answer:
7 feet
Step-by-step explanation:
10 - 3 = 7
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.
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
Ill give you the BRAINLIEST (if it lets me)
Answer:
C and A
Step-by-step explanation:
I did this test.
Max estimates 718 - 331 by rounding each number to the nearest 100 what is Max estimate of the difference?
Answer:
400
Step-by-step explanation:
718-331
= 387
Rounding off to the nearest hundredth the answer is 400
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.
What is the % of
increase from 62 to
88? (Round to the
nearest tenth.)
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
Calculate the surface area?
Please help
Answer:
0.0846153846 when divided
Answer:
806 in^2
Step-by-step explanation:
we can start by breaking it up into two 11x13 sides and four 13x10 sides.
A=l*h
The first group of just two sides is 13*11 = 143, and for both sides 286 in^2
Then for the second group, 13*10 = 130, and for four sides, 520 in^2
We can add these values together for the total surface area, and we'll get 806 in^2 !
Sin theta=x, 0degree
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
8x - 54 = 82 simplify
Answer:
use brainly points
Step-by-step explanation:
HELP
find the value of x in a circle 8,x, 20,36
Answer:
8.8 i think
Step-by-step explanation:
solve for y. y = 2x - 3
Answer:
..y d tu ideograma idiosincrasias
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.
A.CED.1/A.REI.4 Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x.
help me
Answer:
Width of the rug = x feet
Length of the rug = (x + 4) feet
Step-by-step explanation:
Let
Width of the rug = x feet
The rug is 4 feet longer than it is wide.
Length of the rug = (x + 4) feet
For instance, to find the area of the rug
Area of a rectangular rug = length × width
= (x + 4) * x
= x² + 4x
Area of a rectangular rug = x² + 4x
To find the perimeter of the rug
Perimeter of the rectangular rug = 2(length + width)
= 2{(x + 4) + x}
= 2(x + 4 + x)
= 2(2x + 4)
= 4x + 8
Perimeter of the rectangular rug = 4x + 8
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:
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.
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:
Please help! Find the value of X
Answer:
16.50
Step-by-step explanation:
divide it to the upper thanks
-2x + 7 = -32 i need help hurry plsss
Answer Is x= -19.5
-2x = -39
-x= 19.5
x= -19.5
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
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
Please help!!
What is the sum of the measures of the angles of a 25-gon?
4,140º
25º
360º
2,500º
Answer:
4140°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 25 , then
sum = 180° × 23 = 4140°
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]
What is the slope of the line in the graph?
Answer:
m=0
Step-by-step explanation:
A professor surveys students regarding personality as an example of
Answer:
Convenience sampling.
Step-by-step explanation:
Convenience sampling can be understood as a type of sampling that occurs when there is high availability of the population to be investigated.
This method incurs several criticisms because it is not a sampling method that reflects the reality of a population, but convenience sampling can be advantageous due to the speed with which the data are collected and the research initiated, thus being a method recommended for pilot tests.