What is the value of the product (3 - 2i)(3+2i)?
Answer:
13
Step-by-step explanation:
1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)
(3 - 2i) (3 + 2i)
9 + 6i - 6i - [tex]4i^{2}[/tex]
2. Simplify
9 - [tex]4i^{2}[/tex]
3. Solve for i. [tex]i^{2}[/tex] = -1
9 - 4 (-1)
9 + 4 = 13
hope this helps!
identify an equation in point-slope form for the line parallel to y= -2/3x+8 that passes through (4,-5)
The answer options are as follows;
A. Y+5=-2/3(x-4)
B. Y+5=3/2(x-4)
C. Y-5=-2/3(x+4)
D. Y-4=2/3(x+5)
Answer:
C
Step-by-step explanation:
the equation for point slope form is y - y1 = m(x-x1)
parallel lines share a slope m = -2/3. the point given (4, -5) goes in place of the y1 and x1
What is the exact value of tan(19pi/12)?
Answer: It’s A
Step-by-step explanation:
Edge 2021
The exact value of tan ( 19π/12) is -3.732.
What are Trigonometric Ratios?Trigonometric Ratios are ratios of sides of a right-angled triangle, they are used to find the missing sides and angles of the right-angled triangle.
The value of tan ( 19π/12) is
-3.732
Therefore, the exact value of tan ( 19π/12) is -3.732.
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Which values are solutions to the inequality? 5r≤6r−8 Select each correct answer. r = 7 r = 8 r = 9 r = 10
there are multiple
Answer:
r = 8,9,10
Step-by-step explanation:
The given inequality is :
5r≤6r−8 ...(1)
We need to find the value of r.
Subtracting 5r to both sides of the inequality .
5r-5r≤6r-5r−8
0≤r−8
r ≥ 8
Hence, the values of r are 8,9,10.
Answer:
The answer is r 8,9,10
Step-by-step explanation:
each function. g(x) = 2x^3 – 4; Find g(2)
Answer:
g(2) = 12
Step-by-step explanation:
g(x) = 2x³ – 4; g(2)
g(2) = 2(2)³ – 4
= 2 × 8 – 4
= 16 – 4
g(2) = 12
Thus, The answer is g(2) = 12
-TheUnknownScientist
Answer:
12
Step-by-step explanation:
Anton van Leeuwenhoek’s contribution in the development of cell theory?
I need help with math ty
Explanation:
There are 5 slices that aren't blue out of 6 total
The probability of landing on a non-blue slice is 5/6
Solve for u.
14 = 2 x u
U =
Answer:
14/2=u
7=u
the value of U is 7
Graph Y=-3/2x-3
Plz help me
Answer:
Ask your mom or dad
Step-by-step explanation:
Answer:
See explaination
Step-by-step explanation:
y = mx+b form.
So first, b is the y intercept, where the line intercepts the y axis. So, put a dot at -3. After that, do the slope. Rise over run. So, go down 3 (because negative) and to the right 2. Then, put a line through the dots and you'll have your graph. If you need me to graph just ask.
Here is a rectangle labelled abcd the length of the rectangle is increased by10% and width 5% how much percent has the perimeter increases by
Answer:
8%
Step-by-step explanation:
new length = 110% x 30 = 33cm
new width = 105% x 20 = 21cm
new perimeter = 2(33 + 21) = 108cm
old perimeter = 2(30 + 20) = 100cm
percentage increase = 8/100 x 100% = 8%
Topic: Percentage
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the length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2x length +2w=48
find the length, in centimeters, if the if the width is:
10cm
3.6cm
w centimeters
Answer:
Step-by-step explanation:
We are told that the perimeter is 48 = 2L + 2W. This reduces to
24 = L + W. Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:
a) If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm
b) If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm
c) If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm
Two rectangle are conguruent if
Answer:
they are congruent if they have the same exact measurements as each other (side lengths AND angles)
Step-by-step explanation:
:)
The 24 stundas the students, except 2 went bowling. What is the total cost each student who went bowling paid $5
Answer:
$4.40
Step-by-step explanation:
you do 24=5x-2 so first you do 24-2 and u get 22 so then divide that by 5 since they each pay 5. then u end up with 4 dollars and 40 cents
Find the length of each side of an equilateral triangle with perimeter 60 inches.
Answer:
20
Step-by-step explanation:
60 divided into 3 = 20 since all sides are equal then you get 20 for each side.
If a number ends in zeros, the zeros are called terminal zeros. For example, 520,000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from 1 through 20:
N = 1 × 2 × 3 × 4 × ... × 20.
How many terminal zeros will N have when it is written in standard form?
Answer:
4
Step-by-step explanation:
First you need to figure out how many numbers can create a 0 at the end. Of course 10, and 20 can. Next, 2*5 and 12*15 can also do that. This means you will have 4 zeros at the end. Or you can simply use a calculator!
N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.
To do such question there are 2 methods, conventional and non-conventional approach.
Conventional Approach;
N = 1 × 2 × 3 × 4 × ... × 20
Non-conventional approach;
To form a zero at the end of a number, we need to multiply it with a multiple of such 10, 20, 30, etc.
Also, a multiplication of 5 and 2 gives as zero.
Therefore, numbers (5 x 2), 10, (12 x 15), and 20, will give us four terminal zeros.
hence, N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.
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A package of 6 pairs of insulated socks costs $32.34. What is the unit price of the pairs of socks?
A student uses the method of successive approximations to estimate a positive solution of
f(x) = g(x), where f(x) = x2 + 10 and g(x) = 2x + 17. The table shows her results for different
input values of x.
Answer:the answer is between 11 and 17
Step-by-step explanation:
Because when you look at the chart and see which one makes sense you will find it
Answer: it’s between 3.75 and 5
Step-by-step explanation:
ABC = EDC, AB=8, BC = 5 DC = ?
Answer:
5
Step-by-step explanation:
AB = ED
BC = DC
AC = EC
Topic: Congruence and similarity
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The ratio of apple juice to cranberry juice in a punch is 3:9. Which ratio is equivalent to 3:9? A 27:54 9 to 18 6:27 15 to 45
Answer:
68.56
Step-by-step explanation:
if you add them together you will ger 68.56
[tex]17b+9a+6b+4a+5a+b+9a=[/tex]
Answer:
27a + 24b
Step-by-step explanation:
Combine the like terms.
9a + 4a + 5a + 9a = 27a
17b + 6b + b = 24b
Remember, a number without a coefficent is 1.
Hope this helps! :)
thanks for the points
Step-by-step explanation:
Write a slope intercept form
When y-intercept is 5 and slope is 1/2
Answer:
y=1/2x+5
Step-by-step explanation:
Answer:
y=1/2x+5
Step-by-step explanation:
slope intercept form is y=mx+b
m= slope
b= y-intercept
miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration
Step-by-step explanation:
Acceleration= (final velocity - initial velocity)/ time
= v-u/t
v = 20m/s
u = 5m/s
t= 30s
= 20-5/30
= 15/30
= 0.5ms^-2
Please help me and explain the math.
Answer:
The measure of ∠A = 58.0°
Step-by-step explanation:
we will use the trigonometry function "tan" to solve the question
∵ BC is the opposite side of ∠A
∵ AC is the adjacent side of ∠A
∵ tan A = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan A = [tex]\frac{BC}{AC}[/tex]
∵ BC = 8 units
∵ AC = 5 units
∴ tan A = [tex]\frac{8}{5}[/tex]
→ Use the inverse function of tan to find the measure of angle A
∵ m∠A = [tex]tan^{-1}(\frac{8}{5})[/tex]
∴ m∠A = 57.99461679°
→ Round it to the nearest tenth
∴ m∠A = 58.0°
∴ The measure of ∠A = 58.0°
Number 11 thanks ASAP ASAP
Answer:
A is the direct variation equation
Which of the following has no solution?
Help please! I’ll mark as brilliant!
Answer:
q=2
Step-by-step explanation:
I am not sure but it can't be 0 and its says higher than 1
Answer:
q=2
Step-by-step explanation:
1. Find 0.08% of 720.
Answer:
0.576
Step-by-step explanation:
First, you would change the percent to a decimal which is 0.0008
Second, you would multiply that by 720 (0.0008 x 720)
Third you would find your answer by calculating it, which is 0.576.
Another way
0.0008/ 100 × a/720 ≡ 0.576
The value of 0.08% of 720 is 0.576.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
0.08% of 720
= 0.08/100 x 720
= 0.576
Thus,
0.576 is the value of 0.08% of 720.
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What is the ratio of 472 and 482?
Answer:
236:241
Step-by-step explanation:
how i got this is dividing each by a number that can fit into both (i did 2)
i hope this is correct
y(0.5+2) please help me on this !!!
Answer:
0.5y+2y
Step-by-step explanation:
bc you divide out the y
Please help me!!!! 10 POINTS
Answer:
f(x) = 6x - 4
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!
partial quotients for 1,204 divided by 28
Answer:
the answer is 43. Plz mark branliest :-)
Step-by-step explanation: