8-2 (i+1) < 12 − 7i + 4i true.

Answers

Answer 1

Answer:

True

Step-by-step explanation:

8-2 (i+1) < 12 − 7i + 4i

Left side of the inequality:

8 - 2(i + 1)        distribute

8 - 2i - 2        simplify

(8 - 2) - 2i

6 - 2i

Right side of the inequality:

12 − 7i + 4i        simplify

12 − 3i

Combine:

6 - 2i < 12 − 3i

6 is less than 12

3i is less than 2i

leads to the assumption that the statement is true


Related Questions

Could someone Help it’s a new topic

Answers

Answer:

So to do this you need a protactor and measure it with it, then add the total

Step-by-step explanation:

x=36
explanation:
for finding the total angles in a shape you have to follow the formula
(n-2)180
which n is the number of sides
so for a pentagon you will get
3.180=540 and by dividing it into the amount of angles you will get each angle's amount
so
540/5=108 -> each angle
back to the quastion you see the angle C is 108 and we have a triangle
and angles D and B are equal so by subtracting 108 from 180 (total angles in a triangle) we get 72 which is equal to both B and D angles so by dividing it to 2 you will get 36 which is the answer

Solve, using the substitution method.

x = 10

y = 2x – 6


(10, 14)


(10, 4)


(10, –4)


(10, –1)

Answers

Answer:

10/14

Step-by-step explanation:

substitute x in equation 2

y= 2(10) -6

y= 20 - 6

y= 14

substitute y in equation 2

14 = 2x - 6

-2x= -6-14

-2x= -20

divide both sides by -2

-20/-2

x= 10

y= 14, x= 10

Pls help. Answer the question in the picture. I will give 5 stars, a thanks, and brainliest!
*20 points*

Answers

Answer:

1/5x + 2

Step-by-step explanation:

hope this helps

Scan the n the questions

loading
165464775250023655713488
63

Answers

Answer:

what man we can barley see

Step-by-step explanation:

(-2p+7) (4p - 3) please help

Answers

Answer:

Step-by-step explanation:

-8p^2 + 6p + 28p - 21

-8p^2 + 34p - 21

Answer:

-8p² + 34p - 21

Step-by-step explanation:

(-2p + 7)(4p-3)

= -2p*4p -2p*-3 + 7*4p + 7*-3

= -8p² + 6p + 28p - 21

= -8p² + 34p - 21

Maya runs 4.5

miles more than Remy every week. Maya runs 18.35

miles per week. Which equation can be used to find the distance Remy runs every week, x?

Answers

Answer:

Remy runs 13.75 Miles Per Week

Step-by-step explanation:

X=18.35 - 4.5

Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?

It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

Answers

The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10. Then the correct option is B.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The polynomial is given below.

5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷

Then polynomial can be arranged as

⇒ 6st⁹ + 5s⁶t² – 8s⁶t² – 6t⁷

⇒ 6st⁹ – 3s⁶t² – 6t⁷

The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10.

Then the correct option is B.

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Identify the fractions labeled with the letters a and b on the scale below

Answers

In the given fraction, we have the value of 1 divided in four portions and we just have to identify which portion does A and B fall into

Fraction

This can be defined as a part of portion of a complete value.

In the first part, the portion A is representing 1 out of 5 parts. So, the fraction of A is

[tex]A = \frac{1}{5}[/tex]

In the second fraction B, we can say that B is representing 3 out of 5 parts.

[tex]B = \frac{3}{5}[/tex]

From the above, the value of A and B are

A = 1/5B = 3/5

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Determine whether each triangle with sides of given length is a right triangle. justify your answer
7 yd, 5 yd, 9 yd
10 ft, 24ft, 26 ft

Answers

The triangles with the side lengths 10 ft, 24ft, 26 ft, is a right triangle while a triangle with side lengths of 7 yd, 5 yd, 9 yd is NOT based on the Pythagorean theorem.

What is a Right Triangle?

A triangle is said to be a triangle based on the Pythagorean theorem, if the square of the longest side equals the sum of the squares of the other smaller sides of the triangle.

9² = 7² + 5²

81 = 74 (NOT TRUE), therefore, the triangle with the side lengths 7 yd, 5 yd, 9 yd, is not a right triangle.

26² = 10² + 24²

676 = 676 (TRUE), therefore, the triangle with the side lengths 10 ft, 24ft, 26 ft, is a right triangle.

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Deion has 62 m of fencing to build a four-sided fence around a rectangular plot of
land. The area of the land is 228 square meters. Solve for the dimensions (length and
width) of the field?

Answers

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length of the field and y represent the width of the field, hence:

Deion has 62 m of fencing:

2(x + y) = 62

x + y = 31

y = 31 - x     (1)

The area of the land is 228 square meters. hence:

xy = 228

x(31 - x) = 228

x² - 31x + 228 = 0  

x = 12 or x = 19

when x = 12; y = 31 - 12 = 19

when x = 19; y = 31 - 19 = 12

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

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what is the area of triangle ABC

Answers

Answer:

enter traverse Does the middle traverse indeed bisect the triangle?

Angles In the triangle ABC, the ratio of angles is: a:b = 4: 5. ...

Triangle P2 Can a triangle have two right angles?

Diagonal Can be a diagonal of diamond twice longer than it side?

Similarity coefficient The triangles ABC and A "B" C "are similar to the similarity coefficient 2. ...

That how u find the area

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer;

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

What does negative 3 over 5 > −2 indicate about the position of negative 3 over 5 and −2 on the number line?
A. negative 3 over 5 is located on the right of −2
B.negative 3 over 5 is located on the left of −2
C.negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 D.negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
Will mark Brainliest!

Answers

Answer: A. negative 3 over 5 is located on the right of −2

Step-by-step explanation:

On a number line, the greater numbers are to the right and the smaller numbers are to the left.

how to solve 52 divided by 4!

Answers

54 divided by 4 = 13.

Draw and simplify the karnaugh maps of x,y,Z for (a)m0 +m1+ m5+m7. (b)F(1,3,5,4,7). (c)m0+m2+m4+m6. (d)F(0,2,4,6)

Answers

The simplified Karnaugh maps are F(A, B, C) = A’B’ + AC , F(A, B, C) = C + AB’, F(A, B, C) = C’.

What are Karnaugh Maps ?

A Karnaugh map can be compared to a more advanced version of a truth table

In a K-map there are all the possible input variables and outcomes stored in cells.

It is a method to simplify and optimize Boolean expressions.

(a) m0 +m1+ m5+m7

Mapping the given function in a Karnaugh map,

The image is attached with the answer.

we can see two pairs

Pair-1 is m0 + m1

and Pair-2 is m5 + m7

= A’B’C’ + A’B’C + AB’C + ABC

= A’B’(C’ + C) + AC(B’ + B)

= A’B’ + AC

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = A’B’ + AC.

(b) F(1,3,5,4,7)

On Mapping the given function in a Karnaugh map, we will see

1 Pair and 1 Quad

Pair is m4 + m5

Quad is m1 + m3 + m5 + m7

= A’B’C + A’BC + AB’C + ABC + AB’C’ + AB’C

= A’C(B’ + B) + AC(B’ + B) + AB’(C’ + C)

(B +B' ) = 1 , (C’ + C) = 1

= A’C + AC + AB’

= C(A’ + A) + AB’

= C + AB’

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = C + AB’.

(c) m0+m2+m4+m6.

On Mapping the given function in a Karnaugh map, we will see

2 Pairs

Pair-1 is m0 + m4

Pair-2 is m2 + m6

= A’B’C’ + AB’C’ + A’BC’ + ABC’ = B’C’(A’ + A) + BC’(A’ + A)

= B’C’ + BC’

= C’(B’ + B)

= C’

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = C’.

(d) (0,2,4,6)

It will have the same expression as that of Option (c)

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Use the spinner shown to answer the question. Assume that it is equally probable that the pointer will land on any one of the colored regions. If the pointer lands on a borderline, spin again
If the spinner is spun once, find the probability that the pointer lands in a region that is red or blue.
D
The probability that the pointer lands in a region that is red or blue is
(Type an integer or a simplified fraction.)

Answers

The probability that the pointer lands in a region that is red or blue is 1/2

How to determine the probability?

The spinner that completes the question is added as an attachment

From the attached spinner, we have:

Total section = 8Red or blue = 4

The probability is then calcuated as:

P =Red or blue/Total section

This gives

P =4/8

Evaluate

P= 1/2

Hence, the probability that the pointer lands in a region that is red or blue is 1/2

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Write the standard equation of the circle with center (-4,-4) and radius 6.8

Answers

Answer: [tex](x+4)^{2}+(y+4)^{2}=46.24[/tex]

Step-by-step explanation:

[tex](x+4)^{2}+(y+4)^{2}=6.8^{2} \\(x+4)^{2}+(y+4)^{2}=46.24[/tex]

A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds?

s(t) = –4.9t2 + 39.2
s(t) = –4.9t2 + 39.2t
s(t) = –4.9t2 + 39.2t + 39.2
s(t) = –4.9t2 + 39.2t – 39.2

Answers

The quadratic equation that models the height of the rocket after t seconds is:

s(t) = -4.9t² + 39.2t.

What is the quadratic function for a projectile's height?

Considering the height in meters, the equation is given by:

s(t) = -4.9t² + v(0)t + h(0)

In which:

v(0) is the initial velocity, in m/s.h(0) is the initial height, in m.

In this problem, we have that v(0) = 39.2, h(0) = 0, hence the equation is:

s(t) = -4.9t² + 39.2t.

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Answer: B

Step-by-step explanation: on Edge (*^*)

PLEASE 100 POINTS AMD BRAINLIEST IF YOU ANSWER ALL

Answers

1:
5·7·2=70 A volume
13·2·7=182 B volume
70+182=252 total volume
so the first statement is false just change the numbers to 5,7,2
2:
2·2·2=8 the middle cube volume
15·15·2=450 outside cube volume
450-8=442 total volume
so the third statement is false it should be 442
3:
3·8·12=288 rectangle volume
6·12·3/2=108 triangle volume
288+108=396 total volume
so the second statement is false it should be 108

*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).

What is the equation of the circle?

Answers

Diameter

√(-7+5)²+(-1+9)²√2²+8²√4+64√682√17

Radius

2√17/2√17units

Now

Centre

(h,k)

(-7-5/2,-1-9/2)(-12/2,-10/2)(-6,-5)

Equation

(x-h)²+(y-k)²=r²(x+6)²+(y+5)²=(√17)²(x+6)²+(y+5)²=17

Option A

Answer:

Step-by-step explanation:

Consider the end points (-7,-1) and (-5,-9)

The center is the mid point between these two points.

The value of center is,

(h,k) = ((-7-5)/2, (-1-9)/2)

(h,k) = (-12/2,-10/2)

(h,k) = (-6, -5)

If the center (h,k) = (-6, -5) and radius is r then the equation of the circle is,

Equation of Circle,

((x-h)^2)+((y-k)^2) = r^2

((x+6)^2)+(y+5)^2 = r^2

Hence, the answer is ((x+6)^2)+(y+5)^2 = r^2.

Nick walked 5 miles to reach his aunt's house. From there he traveled 8 miles to the shopping mall on a bicycle. He traveled 80% faster on the bicycle than on foot. Let r represent his rate of walking in miles per hour. Identify the expression that represents the number of hours Nick took to reach the shopping mall in terms of r. Then find the time taken by Nick to reach the shopping mall if he walked at an average speed of 3 miles per hour

Answers

The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

What is rate?

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

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Answer:

3 hours 9 minutes

Find the value of x.

Answers

[tex]3(x+4)=90\\x+4=30\\x=26[/tex]

A. 10

B. 11

C. 12

D. 13

Answers

Answer:

D. 13

Step-by-step explanation:

13 is the answer I guess I hope it will be the right answer

Mr. Apollo’s art class is designing tiles for a mosaic.
The class worked in groups, and each group selected a color and a set of shapes to use.
Match the shape names of all of the shapes in each group by dragging them to the correct color in the table.
Names may be used once, more than once, or not at all.

Set 1 has 4 blue rectangles, Set 2 has 4 red triangles, Set 3 has 4 green kites and Set 4 has 3 yellow trapezoids.
Rectangle returned to the choices list. Parallelogram
Rhombus
Square
Trapezoid
Rectangle
Triangle
Right Triangle
Isosceles Trapezoid
Obtuse Triangle
Blue
Red
Green
Yellow

Answers

To complete this task classify the shapes by considering both the color and the features of the shape.

How to classify a shape?Identify the shape. For example, a triangle has 3 sides and if one of the sides has a 90° angle, the triangle is a right triangle.Assign the name to the shape.Identify the color.Match the shape to set 1, 2 or 3. For example if the right triangle is red, this will belong to set 2.

Note: This question is incomplete because the shapes are not given; due to this, the answer is based on general knowledge.

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he graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). What is true about the domain and range of the function? The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. The domain is all real numbers, and the range is all real numbers less than or equal to 4. The domain is all real numbers less than or equal to 4, and the range is all real numbers.+

Answers

What is true about the domain and range of the function is; The domain is all real numbers, and the range is all real numbers less than or equal to 4.

How to find the domain of a graph function?

Let us first find the roots of the function f(x):

0 = (x - 3)(x + 1)

(x - 3) = 0

x = 3

and (x + 1) = 0

x = -1

Therefore, the roots of the function are x = 3 and x = -1.

Now, the vertex is between the roots (x = 1) and has a negative value of y (y = -4), therefore, we can say that the concavity of the parabola is upwards.

This means that the graph is decreasing until it reaches the vertex, then the graph is increasing.

Therefore, we can conclude that the graph is positive and decreasing for all real values of x where x < -1.

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Answer:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Step-by-step explanation:

Simplify the quotient 3-¹ ÷34

Answers

Answer:

[tex]\frac{1}{102}[/tex]

Step-by-step explanation:

1) Negative Power Rule: [tex]x}^{-a}=\frac{1}{{x}^{a}}[/tex].

[tex]\frac{1}{3}\div 34[/tex]

2) Use this rule: [tex]a\div \frac{b}{c}=a\times \frac{c}{b}[/tex].

[tex]\frac{1}{3}\times \frac{1}{34}[/tex]

3)  Use this rule: [tex]\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}[/tex].

[tex]\frac{1\times 1}{3\times 34}[/tex]

4) Simplify [tex]1\times 1[/tex] to [tex]1[/tex].

[tex]\frac{1}{3\times 34}[/tex]

5) Simplify  [tex]3\times 34[/tex] to [tex]102[/tex] .

[tex]\frac{1}{102}[/tex]

In ΔIJK, the measure of ∠K=90°, KJ = 11, IK = 60, and JI = 61. What is the value of the cosine of ∠J to the nearest hundredth?

Answers

The sine of ∠I is represented by the ratio 63:65

First, let's draw the triangle (see the picture below.)

We need to use it here.

What are trigonometric ratios?

-sin = opposite/hypotenuse

-cos = adjacent/hypotenuse

-tan = opposite/adjacent.

Assuming that ∠I is Ф,

we can see that its opposite side is equal to 63 and the hypotenuse is 65. Therefore,

[tex]sin(I)=\frac{63}{65} \\\\sinI=75^0[/tex]

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Answer:


0.18

Step-by-step explanation:

It’s right bc I got it correct with that answer

Simplify the expression.
3.2a + 3.5b – 2.1a

Answers

Answer:

1.1a+3.5b

Step-by-step explanation:


What does the expression n + 3 represent?

Answers

(N+3) represents the measure of an exterior angle of a regular octadecagon. octadecagon=18

Answer:

Step-by-step explanation:

BASICALLY ANYTHING WITH 3

Minh is packing books into

boxes. The mass of one of the boxes is 20 kilograms. If the box

holds 10 books that each have the same mass, what is the mass of

each book in grams?

Answers

The mass of each book in grams if each box weighs 20 kilograms is 2000 grams

Mass of each box = 20 kilogramsTotal books in the box = 10 books

Converting kilograms to grams

1 kilograms = 1000 grams

20 kilograms = 20,000 grams

Mass of each book in grams = 20,000 grams / 10

= 2000 grams

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What is c value in the equation
Log 57.9/c=0.293

Answers

If a log has no base written, you should generally (in algebra classes) assume that the base is 10

we raise 10 to the power log 57.9/c = 57.9/c

and 10 to the power 0.293 = 1.9633602768

so 57.9/c = 1.96

c = 57.9 /1.96 = 29.5

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