Answers
Answer:
Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]
Step-by-step explanation:
The quadratic equation to solve is:
[tex]x^2+10=0[/tex]
Since this equation is incomplete, we can solve it without using the quadratic solver formula.
Subtracting 10:
[tex]x^2=-10[/tex]
Taking square root:
[tex]x=\pm\sqrt{-10}[/tex]
Recall the square root of a negative number leads to imaginary solutions where the Unit Imaginary Number (i) is used, where:
[tex]\mathbf{i}=\sqrt{-1}[/tex]
The solutions to the equation are:
[tex]x=\pm\sqrt{10}\mathbf{i}[/tex]
Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]
Answer:
Look at the step by step explanation
Step-by-step explanation:
Related Questions
Ydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues below to find Lydia's address. My address is a 5−digit number. The tens digit is 6 less than 8. The thousands digit is twice the digit in the tens place. The hundreds digit is the greatest odd number that is less than 10. The ones digit is the product of 6 and 1. The ten thousands digit is the difference between the hundreds digit and the ones digit.
Answers
Answer:
Ydia's address is: 62943
Explanation
Represent the digit as ABCDE such that:
[tex]A = Ones[/tex]
[tex]B = Tens[/tex]
[tex]C = Hundred[/tex]
[tex]D = Thousand[/tex]
[tex]E = Ten\ Thousand[/tex]
Analyzing the statements one after the other:
The tens digit is 6 less than 8
[tex]B = 8 - 6[/tex]
[tex]B = 2[/tex]
The thousands digit is twice the digit in the tens place.
[tex]D = 2B[/tex]
[tex]D = 2 * 2[/tex]
[tex]D = 4[/tex]
The hundreds digit is the greatest odd number that is less than 10.
[tex]C = 9[/tex]
The ones digit is the product of 5 and 1.
[tex]A = 6 * 1[/tex]
[tex]A = 6[/tex]
The ten thousands digit is the difference between the hundreds digit and the ones digit.
[tex]E = C - A[/tex]
[tex]E = 9 - 6[/tex]
[tex]E = 3[/tex]
Ydia's address is: 62943
i wanna sleep
But i cant cause of this homework
Answers
Answer:
I KNOW SAMEEEEEEE IM SORRY XXX
Step-by-step explanation:
Complete the following sentence with the correct symbol(s) or statement(s). Select all that apply. |1| ___ -1 not possible = ≤ ≠
Answers
Answer:
≠ (not equal)
Step-by-step explanation:
Out of the three choices provided, it has to be the not equal sign. We know this because the absolute value of 1 is how far away 1 is from 0, which is 1. Which then makes our equation: 1 ____ -1.
From here, it's easy to tell that -1 is smaller than 1, they're not equal, and it is possible. Since we have eliminated all other possible answers, we know it has to be ≠.
If a = 4.75 and 4.75 = b, then a = b.
Answers
Answer: 22.5625
Step-by-step explanation: 4.75^2 squared is the same thing
what is the product of b(b^2 - 12b+1)
Answers
Answer:
depends on what B is,
Step-by-step explanation:
if you just want an equivalent equation. b^3-12b^2+b, but otherwise theres no way to answer without an inequality or equivalent equation without B
the weekly profit of your cat grooming business is modeled by the expression 2x-15. your profit is more than $55 and at most $105 write your profit as an inequality
Answers
Answer:
55 < 2x-15 < 105
Step-by-step explanation:
Just set the equation less than and greater than the variables given
Oscar is landscaping his yard. He is putting mulch in the flower beds to help minimize weeds. He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft.2. If Oscar uses all of the mulch that he has, how many sq. ft. will it cover? a 75.05 ft.2 b 282 ft.2 c 300.9 ft2 d 284 ft.2
Answers
Answer:
c) 300.9 ft²
Step-by-step explanation:
He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².
Hence:
1 bag of mulch = 70.8ft²
4 1/4 bags of mulch = x ft²
Cross Multiply
1 bag × x ft² = 4 1/4 × 70.8
x ft² = 4 1/4 × 70.8/1
x = 300.9 ft²
Option c is correct.
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which equation should she use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar?
Answers
Given:
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.
To find:
The equation that she should use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar.
Solution:
Let the number of teaspoons of baking soda be x, that is needed if she uses 9 cups of sugar.
For every 2 teaspoons of baking soda Trisha uses 3 cups of sugar.
For every 1 teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}[/tex] cups of sugar.
For every x teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}x[/tex] cups of sugar.
Since she uses 9 cups of sugar for every x teaspoons of baking soda, therefore,
[tex]\dfrac{3}{2}x=9[/tex]
Multiply both sides by 2.
[tex]3x=18[/tex]
Divide both sides by 3.
[tex]x=6[/tex]
Therefore, the required equation is [tex]\dfrac{3}{2}x=9[/tex] and the number of required teaspoons of baking soda is 6.
I need the values of m, n, v, and r
all the answer choices for the 4 are 92, 68, 88, or 122
GEOMETRY
Answers
What is the greatest number you can multiply by 6 to get close to, but not go over 56
Answers
Answer:
9
Step-by-step explanation:
Nine multiplied by 6 vice versa will give you 54 which is closest to 56.
Answer:
54
Step-by-step explanation:
9 x 6 = 54
Naomi works in a music shop and earns $42 per day. She earns an extra $2 for each CD she sells. If Naomi wants to earn at least $80 per day, which inequality shows the minimum number of CDs, n, that she should sell?
42 + 2n ≤ 80, so n ≤ 19
42 + 2n ≥ 80, so n ≥ 19
42 + 2n ≥ 80, so n ≥ 36
42 + 2n ≤ 80, so n ≤ 36
Answers
Answer:
B. 42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
42 + 2n ≥ 80
Subtract 42 from both sides
2n ≥ 38
Divide both sides by 2
n ≥ 19
Hope I helped :)
Please consider Brainliest :)
Answer:
42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
If she wants to make at least $80 the she would need to sell a number of cedis in addition to her $42
That is:
Let n be the number of CDs
42 + 2n
and to get at least $80, (at least meaning $80 dollars or more)
So that will be:
42 + 2n ≥ 80
So to get at least 80 dollars, she'll have to sell 19 CDs
Why 19 CDs? 42 + 2n which is 42 + 2(19) = 80
Which is why 42 + 2n ≥ 80, so n ≥ 19
Which number is rational?
–2.1010010001...
–0.8974512...
1.2547569...
5.3333333...
Answers
Answer:
d
Step-by-step explanation:
Answer:
it's D) 5.3333333.....
Step-by-step explanation:
Hsbdbshsnssbsbs sbsbsbs
Answers
Answer:
not linear
Step-by-step explanation:
Determine whether the data shown is DISCRETE or CONTINUOUS.
Answers
Answer:it should be B
Step-by-step explanation:both of the graphs are the same which means we can cross out A and C. it cant continue without going negative
Rauls car averages 17.3 miles per gallon of gasoline. How many miles can Raul drive if he fills his tank with 10.5 gallons of gasoline?
Answers
Answer:
181.65 miles for 10.5 gallons of gas
Step-by-step explanation:
Answer:
you need to multiply the two numbers given and should get 181.65
Step-by-step explanation:
17.3*10.5= 181.65
brainliest if right
only answer if you think you have it right
Answers
Answer:
b
Step-by-step explanation:
Just graph 3x+5 and you'll see that it passes through the point (-4,-7) and has the matching slope as well. None of the others match the criteria.
B is the answer
Step-by-step explanation:
I did it before
Select the vector along which a translation of the plane would map point A to its image T (A).
Answers
Answer:MN
Step-by-step explanation:
I just did it lol
The vector [tex]\vec {MN}[/tex] that would map point A to its image T (A).
What is a vector?A vector is a quantity that possesses magnitude, direction, and adheres to the law of vector addition.
Given:
Two vectors [tex]\vec {PQ}[/tex] and [tex]\vec {MN}[/tex].
To map point A to its image T (A):
The translated map would be,
[tex]\vec {MN}[/tex].
Therefore, [tex]\vec {MN}[/tex] is the vector.
To learn more about the vectors;
brainly.com/question/13188123
#SPJ2
A standard paper clip is 1 1/4
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?
Answers
The line of 75 paper clips end to end would be 93 3/4 inches long.
To calculate the total length of the line formed by laying 75 paper clips end to end, we need to find the sum of the lengths of all the paper clips.
Each paper clip is 1 1/4 inches long. To add these lengths together, we can convert 1 1/4 to an improper fraction, which is 5/4 inches.
Now, multiply the length of one paper clip (5/4 inches) by the number of paper clips (75):
Total length = (5/4) inches * 75
Next, multiply the whole number (75) by the numerator (5) and add it to the product of the denominator (4) and the whole number:
Total length = (75 * 5 + 0) / 4
Total length = 375/4
Now, we can simplify the fraction:
Total length = 93 3/4 inches
The line of 75 paper clips end to end would be 93 3/4 inches long.
To know more about line:
https://brainly.com/question/34224170
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Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answers
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the distance between -18 and 10 on a number line?
Answers
Answer: 28
The distance between -18 and ten on a number line is 28.
Plz mark brainliest:)
Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)
Answers
Answer:
(0, 1)
Step-by-step explanation:
The formula is pretty straightforward you just need to plug in the numbers you have
what is the interpretation
Answers
HELP ASAP DUE TOMORROW!!!
On a family outing, Tyler bought 5 cups of hot cocoa (x)
and 4 pretzels (y) for $18.40. Some of his family members
would like a second serving, so he went back to the same
food stand and bought another 2 cups of hot cocoa (x) and
4 pretzels (y) for $11.20.
Answers
Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
Solve this inequality. -y + 3 < 8 and y + 2 > 9
Answers
y+2>9
-2 on both sides
y>7
-y+3<8
-3 on both sides
-y<5
y is still negative so simply divide both sides by -1
y>-5
The inequality y > 7 represents the solution set of the given compound inequality.
What is inequality?
Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given is the following compound inequality.
- y + 3 < 8 and y + 2 > 9
We have -
- y + 3 < 8 and y + 2 > 9
Now, first we will solve inequality (1)
- y + 3 < 8
- y + 3 < 8
- y + 3 - 3 < 8 - 3
- y < 5
y > 5
Solving inequality (2)
y + 2 > 9
y + 2 - 2 > 9 - 2
y > 7
We have two possible solution sets -
y > 5 and y > 7
To satisfy both the solution sets, the inequality y > 7 will be the final solution of the given compound inequality.
Therefore, the inequality y > 7 represents the solution of the given compound inequality.
To solve more questions on inequality, visit the link below-
https://brainly.com/question/21857626
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Help and brainliest? :(
Answers
I think
Un sujeto lanza una piedra en dirección complemente horizontal logrando recorrer una distancia de 4 metros tan sólo con una fuerza de 6 N, la velocidad que alcanzó dicha piedra de 3 m/sg con una masa de 450 gramos. ¿Cuál fue el trabajo realizado y la energía cinética de la piedra?
Answers
Answer:
try two
Step-by-step explanation:
What is the range of the following relation? {(-4,1), (-2,0), (8,-1)}
Answers
Answer:
Range:{ 1 , 0 , -1 }
Solve for x.
-3(2x - 3) + x +4= -27
Answers
Combine like terms– -5x+13=-27
Subtract 13 from both sides which gives you -5x=-40
Divide both sides by -5 which gives you
x=8
Select the correct answer
A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area
of the framed painting is 625 square centimeters, what is the side length of the bare canvas?
A
17 centimeters
B.
19 centimeters
C
21 centimeters
D
25 centimeters
Answers
Answer:
21cm
Step-by-step explanation:
Area if the canvas = L²
If the length is increased by 4
A = L²
625 = L²
L = √625
L = 25cm
If the 4cm is added to the length of the canvas, the original length will be 25-4 = 21cm. hence the length of the bare canvas is 21cm
Answer:
Other guy is correct, please give him brainliest.
Kenny takes a cab to the airport. He is charged $2.56 per mile. Kenny pays the driver a total of $59.72 for the trip which includes a tip of $9.8. How many miles did Kenny travel to reach the airport?
Answers
Answer:
Kenny traveled 19.5 miles
Step-by-step explanation: