Answer:
c) x = 1 ± i √29 / 5
Step-by-step explanation:
assuming we are solving for x we can use the quadratic formula
quadratic formula : [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
where the values of a,b and c are derived from the equation
the equation is put in quadratic form : ax² + bx + c
so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6
we then plug these values of a, b and c into the quadratic formula
recall quadratic formula [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
a = 5 , b = - 2 , c = 6
[tex]\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out
[tex]\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
evaluate exponent
[tex]\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}[/tex]
multiply -4(5)(6)
[tex]\frac{2+or-\sqrt{4-120} }{2(5)}[/tex]
subtract 120 from 4
[tex]\frac{2+or-\sqrt{-116} }{2(5)}[/tex]
multiply 2 and 5
[tex]\frac{2+or-\sqrt{-116} }{10}[/tex]
because we cant have a negative square root we replace the negative sign with i (which equals -1 ) and add it to the outside of the square root
[tex]\frac{2+or-i\sqrt{116} }{10}[/tex]
we then simplify the radical
[tex]\frac{2+or-2i\sqrt{29} }{10}[/tex]
we then simplify the fraction
2/10 = 1/5 so both 2's cancel out
[tex]\frac{1+or-i\sqrt{29} }{10}[/tex]
the answer is C
Could someone help me, please? :)
Question 6 (1 point)
(06.02 MC)
What is the perimeter, P. of a rectangle that has a length of x + 5 and a width of y- 12
O a
P = 2x + 2y + 8
Ob
P = 2x + 2y - 8
Ос
P = x+y+4
Od
P = x+y+6
please Please PLease help m with these 2 please show work and explain how to do this
Answer:
5. x = 7
6. x = 13; YZ = 28
Step-by-step explanation:
It can help to start by writing the similarity statement for each figure. To do that, you can identify corresponding features, then work around the figure in a direction that maintains the correspondence of the vertices. Here the figures are dilated, and problem 5 has the figure rotated. Since there is no reflection involved, the corresponding vertices remain in clockwise order.
Once you have written the similarity statement, you can identify the values given for corresponding parts. Here, the values are all for side lengths (not angles). Corresponding sides will have their vertices in the same relative position in the similarity statement.
5.Working counterclockwise from the acute angle, we have ...
KNML ~ PSRQ
Then corresponding sides are ...
KN = 7x -9 . . . . PS = 60
NM = not given . . . . SR = not given
ML = 4x +4 . . . . RQ = 48
LK = not given . . . . QP = not given
Now, you can write a proportion that involves corresponding sides. The main point here is to put corresponding parts in the same relative locations in the proportion. We can write this a couple of ways:
KN/ML = PS/RQ ⇔ (7x -9)/(4x +4) = 60/48
or
KN/PS = ML/RQ ⇔ (7x -9)/60 = (4x +4)/48
We note here that solution is generally easier if the variable is put in the numerator of the expression. We might choose the latter form for that reason. We might choose the first form because we know we can reduce the fraction 60/48 to 5/4, simplifying the problem a bit.
Using the second form of the proportion, we can solve it as follows:
(7x -9)/60 = (4x +4)/48
4(7x -9) = 5(4x +4) . . . . . . multiply by the LCM of 60 and 48, which is 240
28x -36 = 20x +20 . . . . . eliminate parentheses
8x = 56 . . . . . . . . . . . add 36-20x to both sides
x = 7 . . . . . . . . . divide by 8
__
6.Counterclockwise from S, the similarity statement can be written ...
ΔSYZ ~ ΔSRT
Corresponding parts are ...
SY = not given . . . . SR = not given
YZ = 2x +2 . . . . RT = 3x -7
ZS = 40-5 = 35 . . . . TS = 40
A suitable proportion is ...
(2x +2)/35 = (3x -7)/40
8(2x +2) = 7(3x -7) . . . . . . . . multiply by 280
16x +16 = 21x -49 . . . . . . eliminate parentheses
65 = 5x . . . . . . . . . add 49-16x to both sides
x = 13 . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
what is the radius of the circle
Answer: 90 is the radius.
Step-by-step explanation:
The diameter is 2 times the radius. In this case the diameter is 180, so you divide 180 by 2 to get 90.
Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations?
For clear understanding refer to the attachment please! :)
machine A and machine B both make car parts
Answer:
?
Step-by-step explanation:
Add more to the problem
[:
Solve the equation by factoring
2x^2=3x+2
Answer:
the correct answer would be x = -1/2 , 2
Step-by-step explanation:
hope this helps
Answer:
2x^2=3x+2
-3x
2x^2-3x=+2
-2
2x^2-3x-2 = 0
-2 x 2 = - 4
X to get - 4
Adds to get - 3
-4x1
-4 +1 = - 3
2x^2-4x + 1x -2
2x(x - 2) 1 (x-2)
(2x+1)(x-2)
(2x+1) =0
+1
2x = 1
÷2
x= 1/2 or 0.5
(x-2) = 0
+2
x = 2
x = 2 & x = 1/2
Hope this helps!
1) The sum of the two numbers is 36 and their difference is 9. Find the average of the two numbers.
Answer:
22.5 and 13.5 are the numbers. average of both numbers is 18.
Step-by-step explanation:
Given that there are two numbers.
let them be, x and y
using the unknown numbers,
x + y = 36x - y = 9make x the subject:
x + y = 36x = 36 - y ..........equation 1 x - y = 9x = 9 + y ..........equation 2Solve them simultaneously:
9 + y = 36 - yy + y = 36 - 92y = 27y = 13.5Then another number, x:
x = 9 + yx = 9 + 13.5x =22.5Average:
( sum of both the numbers ) ÷ 2( 22.5 + 13.5 ) ÷ 218
Let the two numbers be x and y
x+y = 36 -----(1)
x - y = = 9-----(2)
(1)+(2)
x +y = 36
x - y = 9
---------------
2x = 45
x = 45/2
Then y =?
x - y =9
45/2 - y =9
y = 45/2-9
y = (45-18)/2
y = 27/2
The two numbers are 45/2 and 27/2
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15
Answer:
the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
Amount = 3.5n
Find the lettered angles.
Answer:
a) ∠a = 72°
∠b = 108°
b) ∠[tex]x[/tex] = 56°
c) ∠m = 95°
Step-by-step explanation:
Sum of interior angles of a polygon = (n − 2) × 180a) This shape is a regular polygon with 5 sides.
Therefore, sum of the interior angles = (5 - 2) x 180 = 540°
Therefore, ∠b = 540 ÷ 5 = 108°
∠a = 180 - 108 = 72°
b) The sum of the exterior angles of a polygon = 360°
Therefore, 55 + 63 + 52 + 44 + 90 + [tex]x[/tex] = 360
304 + [tex]x[/tex] = 360
[tex]x[/tex] = 360 - 304 = 56°
c) The sum of the exterior angles of a polygon = 360°
Therefore, 40 + 40 + 35 + 40 + 50 + 60 + m = 360
265 + m = 360
m = 360 - 265 = 95
Name the first 15 prime number
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Step-by-step explanation:
Please mark brainliest, would really love that :D
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Mr. Chen takes his 4 children to the museum. He buys and adult ticket for himself and a youth ticket for each of his children. The cost of an adult ticket is $12.00. The total cost of all the tickets is $42.00. What is the cost of the youth tickets
Answer:
the total cost for the youth is 30.00, so
4 × 7.5
Answer:
7.50
Step-by-step explanation:
42 - 12 = 30
30/4 = 7.50
Have a good day!
(x-3)(x-2)
x(x-3)-3(x-2)
Answer:
(x-3)(x-2)
= x^2-2x-3x+6
= x^2-5x+6
x(x-3)-3(x-2)
= x^2-3x-3x+6
x^2-6x+6
Divide 180 into two parts such that the larger is 16 more than three times the smaller. Pls help
x = the larger
y = the smaller
x+y = 180
x = 180 - y (eq 1)
x = 16 + 3y (eq 2)
substitution eq 1 to eq 2
[tex]\tt 180-y=16+3y\\\\164=4y\rightarrow y=41, then~x=180-41=139[/tex]
Which of the following shows the correct way to subtract
15 4/5 - 9 3/5?
Answer:subtract the whole numbers first then you do only the numerators and you got your answer
Explain the steps you use to solve the equation: 2(x-2) =26
Solution:
Simplify the distributive property and solve.
2(x - 2) = 26=> 2x - 4 = 26=> 2x = 26 + 4=> 2x = 30=> x = 15The solution to the equation is 15.
Your required solution :
Let us solve this equation..!!
Firstly multiplying 2 by (x - 2)
⇒ 2 × (x - 2) = 26
⇒ 2x - 4 = 26
On transposing -4 to R.H.S. it would be positive,
⇒ 2x = 26 + 4
⇒ 2x = 30
On dividing 30 by 2 we gets,
⇒ x = 30/2
⇒ x = 15
Therefore, value of x is 15.
Use the distributive property
w(3w-y)
Answer:
3w² - wy
Step-by-step explanation:
w(3w - y) ← multiply each term in the parenthesis by w
= 3w² - wy
Hi!
I can help you with joy!
Let's remember what the Distributive Property states.
It states that
[tex]\mathrm{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve the given problem:
[tex]\mathrm{w(3w-y)}[/tex]
Distribute w:
[tex]\mathrm{3w^{2} -wy}[/tex] (Answer)
I hope this helps!
Ask me if you have any questions.
Misty~
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony eats half of his sweets.
Write an expression for the number of sweets Sue and Tony have?
Answer:
see below
Step-by-step explanation:
18 - x - 5 = for sue
(18 + x)/2 = for tony
to put the combined total together
18 - x - 5 + (18 + x)/2
well the X's cancel out since it stays between them
18 - 5 + (18)/2
18 - 5 + 9
18 + 4
22 candies
Convert 310 yards into feet.
Answer:
930 feet
Step-by-step explanation:
[tex]=310yards\\\\=310yards*3\\\\=930feet[/tex]
Note that to convert the yards into feet we must multiply the value by 3.
Answer:
930 feet
Step-by-step explanation:
There are 3 feet in 1 yard. It is given to you to convert 310 yards into feet. Since 3 feet = 1 yard, simply multiply 3 with the given yards to obtain the feets:
310 yards x (3 feet/1 yard) = 930 feet/310 yards.
930 feet is your answer.
~
3. James wanted to buy a used car for $6,500. He made a down payment of $1,500 and agreed to pay $155 a month for 4 years. How much interest did he pay?
A circle is divided into 10 equal parts what is the angle measure of four of those parts
Answer:
Four of those parts will have 144 degrees
Explanation:
A full circle will always have 360 degree
If the circle is divided into 10 equal parts,
The angle shall divide in 10 parts:
Each slice angle: [tex]\frac{360}{10}[/tex] = 36 degrees.
1 parts has 36 degrees; so:
Four parts will have: 36 * 4 = 144 degrees.
Hello! is this correct?
Answer:
Yes.Step-by-step explanation:
Given equation:
7 * 5 * 4Solve:
7 * 5 * 4= 35 * 4= 140.Answer is 140 m³.
Yes, you are correct on this.
The Gift Basket Store had the following premade gift baskets containing the following combinations in stock. Cookies Mugs Candy Coffee 20 13 10 Tea 12 10 12 Choose 1 basket at random. Find the probability that it contains a. Coffee or candy b. Tea given that it contains mugs c. Tea and cookies
Using it's concept, it is found that the probabilities are:
a. 0.7143 = 71.43% probability that is contains coffee or candy.
b. 0.4348 = 43.48% probability that it contains tea, given that it contain mugs.
c. 0.1558 = 15.58% probability it contains tea and cookies.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
There is a total of 20 + 13 + 10 + 12 + 10 + 12 = 77 baskets, of which 20 + 13 + 10 + 12 = 55 contain coffee or candy, hence:
[tex]p = \frac{55}{77} = 0.7143[/tex]
0.7143 = 71.43% probability that is contains coffee or candy.
Item b:
13 + 10 = 23 contain mugs, of which 10 contain tea, hence:
[tex]p = \frac{10}{23} = 0.4348[/tex]
0.4348 = 43.48% probability that it contains tea, given that it contain mugs.
Item c:
Out of the 77, 12 contain tea and cookies, hence:
[tex]p = \frac{12}{77} = 0.1558[/tex]
0.1558 = 15.58% probability it contains tea and cookies.
More can be learned about probabilities at https://brainly.com/question/15536019
Jayce made a scale drawing of the elementary school. He used the scale 7 centimeters = 1 meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.
Answer:
Is this multiple choice or do you have to do it on your own with your own answer?
Step-by-step explanation:
Please need help !!!!!!
Answer:
I think its C .
While on a hot air balloon ride over Washington D.C., Sam spots the White House below. If the horizontal distance from the White House to the hot air balloon is 1,478 feet and the hot air balloon is 2,109 feet from the ground, what is the angle of depression from Sam to the White House?
Answer:
i need answer pls
Step-by-step explanation:
and then i can help
Sense or nonsense? Pete says that to write 4/6 as 2/3, you combine pieces, but to write 4/6 as 8/12, you break apart pieces does this make sense?
In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.
What are fractions?
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
a basketball team played 30 games. they won 22 . what is the ratio of games won to games lost ?
Answer:
22:8
11:4
Step-by-step explanation:
for every 22 games won, there was a loss of 8 games
simplify...
for every 11 games won, there was a loss of 4 games
let me know if this helps :3
The Schwartz family spent a total of $111. 75 for Internet service for 3 months. Each month they received $5. 50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x 5. 50) = 111. 75; the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x 5. 50) = 111. 75; the monthly Internet service is $31. 75.
It's b} the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75
If.you are missing a term in your
polynomials (both dividend and divisor),
you must put a zero as a coefficient
place holder for that term.
Only for the dividend
False
Only for the divisor
True
Answer:
True
Step-by-step explanation:
You need a place holder in both the dividend and the divisor when dividing polynomials.