Step-by-step explanation:
-4x+1+6-(-9x)
-4x+7-(-9x)
5x+7
Given w1 = -2 + 3i and W2 = 4 - 4i, which complex number can be added to Wi to produce wz?
6-i
-6-i
6-7i
-6+7i
Given:
Two complex numbers are [tex]w_1=-2+3i[/tex] and [tex]w_2=4-4i[/tex].
To find:
The complex number that can be added to [tex]w_1[/tex] to produce [tex]w_2[/tex].
Solution:
Let complex number [tex]z=[/tex] is added to [tex]w_1[/tex] to produce [tex]w_2[/tex].
[tex]w_1+z=w_2[/tex]
[tex]z=w_2-w_1[/tex]
On substituting the values, we get
[tex]z=(4-4i)-(-2+3i)[/tex]
[tex]z=4-4i+2-3i[/tex]
Combine like real and imaginary parts.
[tex]z=(4+2)+(-4-3)i[/tex]
[tex]z=6+(-7)i[/tex]
[tex]z=6-7i[/tex]
Therefore, the correct option is C.
What is the slope and y-intercept of the function represented by the table
slope =
y-intercept =
Answer:slope = -2/3
Y inter. =7
Step-by-step explanation:
To get the slope= y-y divide x-x which is = 3-5 divide 6-3
= -2/3
So the equation will be :
Y=mx+b
Y=-2/3x+b
Now to get the b which is the yinter. We have to put a “x” and a “y “
Lets put (3,5)
5=-2/3 x (3) +b
5= -2 + b
7=b
a zoo has a total of 8 lions and tigers. the number if tigers is one lese than twice the number of lions. wirte a system or equations that represents the number of lions and tigers
Answer:
Step-by-step explanation:
X+y=8
X=2y-8
Answer:
8 lions 15 tigers
Step-by-step explanation:
Evaluate 150-(2+2)^3
Answer:
86
Step-by-step explanation:
Answer: the answer is 86
Step-by-step explanation:
common factors of 128 and 192
Answer:
The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.
The greatest common factor of 128 and 192 is 64 because 64 is the highest number that is divisible by both numbers.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly.
In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers is x and y.
Given that the two numbers are 128 and 192. The greatest common factor is the largest number which is divided into both numbers.
128 = 2 x 2 x 2 x 2 x 2 x 2 x 2
192 = 2 x 2 x 2 x 2 x 2 x 2 x 3
The greatest common factor is,
GCF = 2 x 2 x 2 x 2 x 2 x 2
GCF = 64
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The mass of a bowling ball is 13 pounds and the volume is 102 in? What is its density? Round to the nearest hundredth.
Answer:
To the nearest hundredth, the density is 0.13 pounds per in^3
Step-by-step explanation:
Mathematically;
density = mass/volume
Thus;
density = 13 pounds/ 102 in^3
density = 0.1275
To the nearest hundredth, this is 0.13 pounds per in^3
What is the solution for x in the following equation?
2x-3=7 then evaluate 4x
-2x
Step-by-step explanation:
Answer:
x=5, 20
Step-by-step explanation:
2x-3=7
+3 both sides
2x=10
÷2 both sides
x=5
4(5)=20
Write an equation that represents the question below...
Answer:
first use your brain
Step-by-step explanation:
step by step you have to learn first
Answer:
30
Step-by-step explanation:
15 x 2 = 30
he was q5 feet ahead so in another hour he will be 30 feet
Justin has a crate that is 8 feet long 2 feet wide and 3 feet tall decide weather each of the crate sizes described below has the same volume as Justin's crate
Complete question is;
Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.
a. 9 feet long, 1 foot wide, 4 feet tall
b. 8 feet long, 2 feet wide, 2 feet tall
c. 4 feet long, 4 feet wide, 3 feet tall
d. 8 feet long, 3 feet wide, 3 feet tall
e. 6 feet long, 2 feet wide, 4 feet tall Answer:
Options C & E have the same volume as Justin's crate.
Step-by-step explanation:
We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.
Thus, original volume is;
V_o = 8 × 2 × 3 = 48 ft³
A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;
V_a = 9 × 1 × 4 = 36 ft³
B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;
V_b = 8 × 2 × 2 = 32 ft³
C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;
V_c = 4 × 4 × 3 = 48 ft³
D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;
V_d = 8 × 3 × 3 = 72 ft³
E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;
V_e = 6 × 2 × 4 = 48 ft³
Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.
-2/4 divided by 8/6
what do you think?
Answer: -3/8
Step-by-step explanation:
A forest covers 71,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
213 acres
Step-by-step explanation:
A peach weighs 65 grams. If you buy 10 peaches and they sell for $5.50 per kilogram, how much will they cost? Please helpppppp!!!!!! This is due in 10 minutes with expiation pleasee thank you
Answer:
$3.57 per kilogram
Step-by-step explanation:
65 grams = 0.065 kilograms = weight of a single peach
0.65 = weight of 10 peaches
0.65 x $5.50 = cost of 10 peaches = 3.575
Can anyone help me plz
Answer:
14, 1352, 36.8, 50.8, 50.8
Step-by-step explanation:
We get 14 by looking at the other measurement of the triangle that was given to us. We add the two values of 196 and 1156 to find the value of c^2.To find c, we would have to take the square root of c^2 (aka 1352), which will give us 36.8. The next blank is simple, you would just add 36.8 + 14 to get 50.8 just like it is shown in the problemWrite the same answer into the last blank.Hope this helped!
Factor.
2m2 + 7m - 9
Answer:
4.500
Step-by-step explanation:
I NEED HELP ON THIS PLEASE
Answer:
m<5 = 120* because <5 and 120* are corresponding angles
Step-by-step explanation:
PLEASE HELP ME RIGHT ANSWERS ONLY
You have 0.54 meters of string to use for a homework project. You need to cut it into pieces that are 0.08 meters each. How many whole pieces can you get?
Answer:
6
Step-by-step explanation:
Answer:
6 whole pieces
Step-by-step explanation:
8x6 eaquals 48 and so you can make 6 whole pieces with a remainder of 0.08 left
Write the equation of the line parallel to y=3x-2 that passes through (3, 2) in point-slope form
#2. A field of grass feeds 36 cows for 4 days. How
many days would the same field feed 20 cows?
162 cow-days
Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.
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Using the principle of proportional relationship, it will take 20 cows 7.2 days.
Setting up the relationship thus :
36 cows = 4 days
Hence, if they eact at the same rate ;
1 cow = 36 × 4 = 144 days
Hence, for 20 cows, it will take;
144 days ÷ 20
= 7.2 days
Hence, 20 cows will feed on the grass for 7.2 days
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The Angels won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to win 50 games?
Answer: 80
10/16=0.625
0.625x80=50
What are the coordinates of the image of P(-2,5)
after a clockwise rotation of 90° about the origin?
Answer:
5,2
Step-by-step explanation:
Clockwise rotations for 90 is
The preimage of (x,y), or for this problem, (-2,5) into (y,-x).
So, a clockwise rotation is from x,y into y,-x
So we do -2,5 into 5,2
We flipped the x and y, and the 2 became positive because two negatives equal a positive
When a point is rotated, it must be rotated through a point.
The image of P is: (5,2)
The point is given as:
[tex]\mathbf{P = (-2,5)}[/tex]
The rule of 90 degrees clockwise rotation is:
[tex]\mathbf{(x, y) \to (y, -x)}[/tex]
So, we have:
[tex]\mathbf{(-2, 5) \to (5, 2)}[/tex]
This gives:
[tex]\mathbf{P' = (5, 2)}[/tex]
Hence, the image of P is: (5,2)
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PLZ HELP ASP 25 Points
Identify each of the following situations or equations as proportional or non-proportional and explain your
reasoning.
(a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150
application fee
Answer:
it is proportional
Step-by-step explanation:
if you plug it in a graph the equation would be y = 1400x + 150
where y is the total cost of rent x is the unknown amount of months 1400 is how much it is a month and the 150 is the extra fee
A square has side length (2x+3)in. What is the area of the square
Answer:
the area would be "4x2+9+12x"
sorry if this doesn't help :(
Step-by-step explanation:
Answer:
Answer given in the photo
Y=-2(x+1)^2
Transformation 1
Transformation 2
Transformation 3
Vertex
Axis of symmetry
PLZ HELPP TODAYS MY LAST DAY
Answer:
Numbers less than 25 is answer
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.
20.00 = c + 9.79
What is the value of c, and what does it represent in this problem?
The value is $10.21, and it shows the cost of Pablo’s lunch.
The value is $29.79, and it shows the cost of Pablo’s lunch.
The value is $10.21, and it shows the change Pablo received.
The value is $29.79, and it shows the change Pablo received.
Answer:
The value of "c" represents the amount of change that Pablo will receive
Step-by-step explanation:
If you pay 9.79 in lunch with a 20 dollar bill, you would have 10.21 in change.
Let's use the equation given to us:
20.00 = c + 9.79
now let's subtract 9.97 on both sides of the equation:
20.00 - 9.79 = c + 9.79 - 9.79
we're left with:
10.21 = c
this is how much money we're left with after we pay for lunch, which is the change given to us. Therefore,
c = the amount change Pablo will have after he pays for his lunch
Answer:
C
Step-by-step explanation:
I took the test
Tony’s taxi had a rate chart posted on the side of each cab. Distance charge: 1 mile- $3.50 2 miles- $5.50 4 miles- $9.50
Answer:c=2m+1.50
Step-by-step explanation:
If you plug in each mile for M that’s how you get the answer .
A line with a slope of -2 passes through the point (3-1). Which of the following is the equation of the line? (1) y=3x-2 (3) y=-2x + 5 (2) y = -4x-2 (4) y=-2x+1
Answer:
y=-2x-1
Step-by-step explanation:
21 laps in 7 minutes round to nearest hundredth
The vertex form of the function is
y = (x +
)2 +
.
Answer:
4, -19
Step-by-step explanation:
Answer:
4 and -19
Step-by-step explanation:
Answers on edge 2021
Consider Z1 = 4 - 4 sqrt3i and Z2 =-16i what is z1 - z2
Answer:
option C
Step-by-step explanation:
got it right on edge 2020
The expression Z₁ -Z₂ is 4 - (4√3 -16)i.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
The given expression Z₁ = 4 - 4√3i.
And Z₂ = -16i
Subtract Z₂ to Z₁:
Z₁ -Z₂
= 4 - 4√3i - (-16i)
= 4 - (4√3 -16)i.
Therefore, Z₁ -Z₂ is 4 - (4√3 -16)i.
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