Answers
Answer:
[tex]-10+i\sqrt{2}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
Take factors from out of under the radical:
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]
Simplify,
[tex]-10+i\sqrt{2}[/tex]
Related Questions
A set of composite number less than 12.Express it in listing and set-builder methods
Answers
composite numbers less than 12={1,3,4,6,8,9,10}
Write the equation in standard form then factor the left side of the equation. 2x^2=28-x
Answers
Answer:
Step-by-step explanation:
Standard for is 5x=28. Factoring gives you x=28/5
Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?
Answers
Answer:
4 :45 pm
Step-by-step explanation:
2 : 20 + 17 minutes = 2:37
2:37 + 1hr 1 minute = 3 : 38
3 : 38 + 1 hr 7 = 4 :45 pm
How do I find x ………..
Answers
Answer:
x = 94
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the 4 angles and equate to 360
x + x + 2x - 75 + x - 35 = 360
5x - 110 = 360 ( add 110 to both sides )
5x = 470 ( divide both sides by 5 )
x = 94
1.Evaluate
a.(243/32)^-0.4
Answers
Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
pls help. what is a reasonable range for this function? explain your answer. thank you:))
Answers
from 0 to 20
neither the seconds nor the height are likely to be negative.
Find g(5)+h(2)
g(x)=2x-5
h(x)=4x+5
Answers
Step-by-step explanation:
g(5)=2(5)-5=5
h(2)=4(2)+5=13
g(5)+h(2)=5+13=18
A game involves rolling a number cube. You get one point if you roll an even number and negative one point if you roll an odd number.
A 7-column table has 3 labeled rows. The first row is labeled Roll with entries 1, 2, 3, 4, 5, 6. The second row is labeled Probability with entries one-sixth, one-sixth, one-sixth, one-sixth, one-sixth, one-sixth. The third row is labeled Point(s) with entries negative 1, 1, negative 1, 1, negative 1, 1.
Which statements are true regarding this scenario? Check all that apply.
The sample space is {1, 2, 3, 4, 5, 6}.
The expected value for the game is 0.
The expected value for the game is One-half.
The game is fair because the expected value is equal to 0.
The game is unfair because the expected value does not equal 0.
Answers
Answer:
A. B. D.
Step-by-step explanation:
There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.
Answer:
A, B, D
Step-by-step explanation:
EDG 2021
Brainliest?
**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.
Answers
Answer:
g(x)=x+9
Step-by-step explanation:
When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x
therefore, g(x)=x+9
Answer:
g(x)=x-8
Step-by-step explanation:
-2+2 = 0, so g(x) = x
5-13 = -8
the perimeter of the shape is
Answers
Answer:
94 cm.
Step-by-step explanation:
Perimeter = 25 + 2(10) + + 2(12) + 25
= 50 + 20 + 24
= 94 cm.
What is the expected value?
Answers
Answer:
2.1
Step-by-step explanation:
The expected value of a probability is given by the formula:
E(x) = Σxp(x)
Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:
E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)
E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1
Hence we can conclude that the expected value of the winnings of the game is 2.1.
Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.
Answers
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer:
A translation because it can map one angle onto another since dilations preserve angle measures of triangles.
Step-by-step explanation:
what is the diameter of the circle shown?
Answers
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6\sqrt{2}[/tex]
Answer:
[tex]6\sqrt{2}[/tex] in
Step-by-step explanation:
this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.
there is a special relation between the sides of a 45 45 90 triangle :
if the legs are 'x' then the hypotenuse is '[tex]x\sqrt{2}[/tex]'
so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is
[tex]6\sqrt{2}[/tex]
sin(2x-pi/2)=sin pi/3
Answers
Given the growth/decay percentage, determine the multiplier.
1) 5% Growth
2) 12% Decay
4) 0.85% Decay
3) 200% Growth
Answers
The multiplier is 1 + growth percentage or 1- decrease percentage rage.
1) 1 + 5% = 1.05
2) 1-12% = 0.88
3) 1-0.85% = 0.9915
4) 1 + 200% = 3
Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5
Answers
Answer:
its c
Step-by-step explanation:
i did it on ed
Answer:
Heres the answer!
Step-by-step explanation:
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answers
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
solve for x. Round to the nearesr tenth of a degree if necessary.
Answers
Answer:
im not sure but i got 30.1
Step-by-step explanation:
[tex] \cos(x) = \frac{45}{52} \\ x = 30.1[/tex]
please I need help here
Answers
Answer:
90 degrees
Step-by-step explanation:
The sum of interior angles of every triangle is 180 degrees
Luckily 90 degrees has already been represented on the triangle
SOLUTION
x+90°=180°
x=180°-90°
x= 90°
Therefore, the answer is 90°
A model of the Saturn V rocket has a scale of 1 inch = 12 feet. If the model rocket is 30 inches tall, how tall was the actual Saturn V rocket
Answers
Answer:
360 feets
Step-by-step explanation:
Given :
Scale : 1 inch = 12 feets
This means 1 inch on paper (model) represents 12 feets in real life
If the model height = 30 inches ;
The actual height of the Saturn V rocket will be :
1 inch = 12 feets
30 inch = x
x = (30 * 12)
x = 360 feets
Actual height = 360 feets
What is the distance in units between the points (4, -7) and (1, -7)?
Answers
Step-by-step explanation:
To evaluate such, the following formula is required:
Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2
Denote the following points as the following,
(4, -7). (1, -7)
X1 Y1. X2. Y2
D(P, Q) = √(1 - 4)^2 + (-7 + 7)^2. <== Since there is a double negative, such will be considered addition.
√(-3)^2 + (0)^2
√9 = 3
Thus, the agglomerate distance of such points on the Cartesian plane is disclosed as 3 units.
ASAP!! can i get help on this one and can i please get a vivid explanation thank you.
Answers
Answer:
3x + 11
Step-by-step explanation:
1) Remove Parentheses:
x + 4 + 2x + 7
2) Combine Like Terms:
(2x + x) and (4 + 7)
3) Simplify:
3x + 11
Hope this helps, good luck! Have a good day. :)
Please help out explanation need it
Answers
Answer:
SinA= BC/AC=20/55
SinA=4/11
A=Sin^-1(4/11)
A=Sin^-1(0.36)
LA=21.1 ← ans
OAmalOHopeO
Help if you know thanks
Answers
x= - 1/2,-1
or
x= - 0.5, -1
Answer:
x = -1/2 x=-1
Step-by-step explanation:
2x( x+1.5) = -1
Distribute
2x^2 + 3x = -1
Add 1 to each side
2x^2 +3x+1 = 0
Factor
(2x+1) (x+1) =0
Using the zero product property
2x+1 = 0 x+1=0
2x = -1 x=-1
x = -1/2 x=-1
Out of 120 students in exam, 2/3 of them passed. How many students passed?
Answers
Out of 120 students in exam, 2/3 of them passed. How many students passed?
now,
no of students passed = 2/3×120
= 0.66×120
=80...
therefore 80 students were passed....
Answer:
80
Step-by-step explanation:
Which of the following statements is false?
Answers
Answer:
option D is false it's not parallelogram
guys this is going to be the death of me
Answers
Answer:
mine too
Step-by-step explanation:
If someone could help that would really be great. Thank you.!
Answers
the angles should add up to 180 degrees in a triangle, so if you do 180-105-30, you end up with 45 (hope that helps)
La señora Angélica fue al mercado y compró 2 visores protectores y 1 mascarilla, pagó $55.00, en total. En el mismo puesto, la señora Silvia compró 1 visor protector y 2 mascarillas y pagó $50.00. ¿Cuál es el precio de una mascarilla? ¿Cuáles el precio de un visor protector?
Answers
Answer:
Cost of 1 goggles = $20
Cost of 1 mask = 15
Step-by-step explanation:
Given:
Cost of 2 goggles and 1 mask = $55
Cost of 1 goggles and 2 mask = $50
Find:
Cost of each goggles and mask
Computation:
Assume;
Cost of 1 goggles = a
Cost of 1 mask = b
So,
2a + b = 55.....EQ1
a + 2b = 50.......EQ2
EQ1 x 2
4a + 2b = 110 ......EQ3
EQ3 - EQ2
3a = 60
a = 20
Cost of 1 goggles = $20
a + 2a = 50
20 + 2b = 50
2b = 30
b = 15
Cost of 1 mask = 15
.
1 point Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation y=-x-3 (-3,4)
Answers
Answer:
y=3x+9......(i)
y=-4x-12...(ii)
these are the equation
