Answer:
Hello,
Step-by-step explanation:
Formula used (a+b)^2=a²+2ab+b²
[tex](12-9i)^2=3^2*(4-3i)^2\\\\=9*(16-9-24i)\\\\=9*(7-24i)\\\\=63-216i\\[/tex]
Prove that 1/√2 is irrational
Answer:
Step-by-step explanation:
Let's assume that it is rational , so this number can be represented as[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]
[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex] -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answer:
The correct answer is
D) e and l
i am having problems with this problem.
Answer:
-70
Step-by-step explanation:
keep adding -4 until you reach the 18th term for example
-2
-6
-10
-14
-18
-22
-26
-30
-34
-38
-42
-46
-50
-54
-58
-62
-66
-70
PLZZZ HELPPP!! And also plz explain how to do this too me!! Which of the following numbers listed below are solutions to the equation below check all that apply. √s^2 = s
Answer:
option E is the correct answer
Answer:
A and B
Step-by-step explanation:
When S is positive S equals itself but when S is a negative number S turns postive
Example of positive is √7^2=7
example of negative number for S is √-9^2=9 NOT -9
In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.
Then find the distance of the chord from the center.
Look at the attachment
The line bisects the cord which we have to find
Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cmIts a right angle triangle
using Pythagorean theorem[tex]\boxed{\sf P^2=H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]
[tex]\\ \Large\sf\longmapsto P=8cm[/tex]
Distance of the chord from centre is 8cm.
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
Which of these triangle pairs can be mapped to each other using a single translation?
7(2x-7+1 please help
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42
traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
Decide !!!!!!!!!!!!!!!!!!
Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have
(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17
-2t = -10
t = 5
Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:
a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)
Answer:
a)
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
Can someone help me out with this
We know
[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
Answer:
These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly
Step-by-step explanation:
To paint a wooden cube, Pinocchio needs 4 grams of paint. When it is dry, he cut the cube into 8 smaller pieces of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of the smaller cubes
Answer:
9 grams of paint
Step-by-step explanation:
6×8=48
48÷4= 12
48-12=36
36÷4=9
first multiply 6 by 8 because a cube has six faces and you cut that cube eight times
second after you cut that you will have 48 faces and for every six faces there are 4 grams of paint so you divide 48 by 4 and you get 12 this means that 12 of the faces are painted
next you subtract 12 from 48 and you get 36 this means that 36 faces are not painted
lastly you divide 36 by 4 and you will get 9 grams of paint
4. Which property of similarity can be used to prove triangles DEF and GHI are similar?
Answer:
SSS
Step-by-step explanation:
We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.
Answer:
SSS
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
Write an algebraic expression for each verbal expression. 1.One third of a number is twelve less than the number itself 2. Two times the sum of a number and five is twenty
Answer:
1. ⅓*m = m - 12
2. 2(a + 5) = 20
Step-by-step explanation:
1. Let the number be represented by m
Let one-third of the number m, be ⅓*m
If there is 12 less of an amount of something, it implies 12 is to be subtracted from the initial amount.
Thus, 12 less than the number, m is (m - 12)
》⅓*m = m - 12
2. Let the number be represented by a
The sum of the number and 5 is (a+5)
》2(a+5) = 20
What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4
Answer:
2x^2 -1
Step-by-step explanation:
f(x)=2x^2+3
g(x)=x-4
g(f(x))
Replace x in g(x) with the function f(x)
g(f(x)) = 2x^2+3 -4
Combine like terms
=2x^2 -1
Apply the dristrbutie property to factor out the greatest common factor of 9a-18b+21c
Answer:
3 (3a-6b+7c)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The highest common factor is 3.
9/3 = 3
18/3 =6
21/3 = 7
The literals have no common factors that we know of.
Answer: 3(3a - 6b + 7c)
find the exact length of side a.
Answer:
Step-by-step explanation:
I think the best way to do this is to find B using the cos law. The two other angles are equal
b = 3sqrt(3)
a = 3
c = 3
b^2 = a^2 + b^2 - 2ab*cos(B)
(3sqrt(3)^2 = 3^2 + 3^2 - 2*3*3 * cos(B)
27 = 9 + 9 - 18*cos(B)
27 = 18 - 18*cos(B)
9 = - 18*cos(B)
9/-18 = cos(B)
-1/2 = cos(B)
B = cos-1(-1/2)
B = 120
<A + <C + 120 = 180
<A = <C
2A + 120 = 180
2A = 60
A = 30
The question says angle A so that's what I did.
The temperature on a mountain peak was 7 degreesFahrenheit (F) at 6:00 p.m. By 8:00 p.m., thetemperature had dropped to 0F. If the temperaturecontinued to drop at about the same rate, which isthebestestimate of the temperature at 11:00 p.m
A -20 / B. -14 / C -10 / D -9 /
Given:
The temperature on a mountain peak was 7°F at 6:00 p.m.
By 8:00 p.m., the temperature had dropped to 0°F.
To find:
The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.
Solution:
Time between 6:00 p.m. to 8:00 p.m. is 2 hours.
Change in temperature in 2 hours is -7°F.
Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.
Time between 8:00 p.m. to 11:00 p.m. is 3 hours.
Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.
Now, the temperature at 11:00 p.m is:
[tex]0-\dfrac{21}{2}=-10.5[/tex]
Therefore, the temperature at 11:00 p.m. is -10.5°F.
Note: All options are incorrect.
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
Name the property shown by the statement a + (b + 2) = (a + b) + 2
Answer:
The associative property
Step-by-step explanation:
In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:
[tex]x^n=b[/tex] [tex]\sqrt[n]{b}=x[/tex]
[tex]a*b[/tex] [tex]a[/tex] ÷ [tex]b[/tex]
[tex]a+b[/tex] [tex]a-b[/tex]
I need help with this question...
Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?
Answer:
57 inches
Step-by-step explanation:
It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days
Geometry, please answer question ASAP
Answer:
I think the shape above has an order of 5 because it has a reflectional symmetry of 5.
I hope this helps
