Answer:
7 + 11i
Step-by-step explanation:
Simplify: (2 +8i)-(-5 - 3i) = 2 + 8i + 5 + 3i
Add real numbers to real numbers and imaginary to imaginary: 2 + 8i + 5 + 3i = 7 + 11i
A complex number can be shown as a pair of integers (a, b). The difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
What is a complex number?A complex number can be shown as a pair of integers (a, b) forming a vector on an Argand diagram, which represents the complex plane.
The difference of the complex number can be done as following,
(2+8i)-(-5-3i)
= 2 + 8i + 5 + 3i
= 5+2 + 8i+3i
= 7 + 11i
Hence, the difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
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please help me with this assignment
Answer:
let the unknown angle be x
we know. sum of angles of a triangle is 180°
so,
130+20+x=180
150+x=180
x=180-150
x=30°
17. Determine if the following segments can or cannot be a triangle.
3 m., 4 m., and 1 m.
⬜ Yes ⬜ No
12 ft., 3 ft., and 11 ft.
⬜ Yes ⬜ No
24 in., 13 in., and 5 in.
⬜ Yes ⬜ No
9.81 m., 16 m., and 6.19 m.
⬜ Yes ⬜ No
5 yds., 13 yds., and 10 yds.
⬜ Yes ⬜ No
2.5 cm., 2.5 cm., and 2.5 cm.
⬜ Yes ⬜ No
6 mm., 4 mm., and 9 mm.
⬜ Yes ⬜ No
7 ft., 7 ft., and 7 ft.
⬜ Yes ⬜ No
Answer:
Step-by-step explanation:
1. 5 cm, 7 cm, 10 cm
SOLUTION:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
Thus, you can form a triangle with side lengths 5 cm,
7 cm, and 10 cm.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
PROOF Write a two-column proof.
5. Given:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Substitution Property.)
ANSWER:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
No;
9. 2.1 in., 4.2 in., 7.9 in.
ANSWER:
No;
10.
No;
11.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
ANSWER:
4 ft < n < 12 ft
13. 5 m, 11 m
ANSWER:
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
ANSWER:
17.
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. (Conv. Isos. Thm.)
3. BC = BD (Def. of segments)
4. AB + AD > BD ( Inequal. Thm.)
5. AB + AD > BC (Subst.)
19. Given:
Prove: KJ +KL> LM
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequality Thm.)
4. KJ + KL > LM (Substitution Property)
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
Notice that is always true for any whole
number measure for x.The range of values that
would be true for the other two inequalities is
and , which can be written as
.
ANSWER:
6 < x < 17
21.
ANSWER:
22. TRAVEL Keyan wants to take the most efficient
route from his hotel to the hockey game at The
Sportsplex. He can either take Highway 521 or
take Highway 3 and Route 11 from his hotel to the
arena.
a. Which of these two possible routes is the shorter?
Explain your reasoning.
b. Suppose Keyan always drives the speed l
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
1. 5 cm, 7 cm, 10 cm
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
ANSWER:
B
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
SOLUTION:
T
No;
9. 2.1 in., 4.2 in., 7.9 in.
No;
10.
ANSWER:
No;
11.
.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
4 ft < n < 12 ft
13. 5 m, 11 m
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
SOLUTION:
Set up and solve each of the three triangle
inequalities.
ANSWER:
6 < x < 17
21.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
ANSWER:
No;
9. 2.1 in., 4.2 in., 7.9 in.
What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line? (4 points) Group of answer choices negative 2 over 3 is located to the right of −1 negative 2 over 3 is located on the left of −1 negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0 negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0
Answer:
negative 2 over 3 is located to the right of -1
Step-by-step explanation:
-1 is further to the left than negative 2/3. Negative 2/3 is closer to 0.
Negative 2/3 is between -1 and 0.
These statements eliminate the other possible answers.
I really need help it's due today at 2:00
1.Find the value of f(–9) and g(1) if f(x) = 8x + 6 and g(x) = 9x + 20x−2
A.f(–9) = 14
g(1) = 30
B.f(–9) = –78
g(1) = –11
C.f(–9) = –66
g(1) = 29
D.f(–9) = 8
g(1) = –80.75
2.Find the value of f(–9) and g(–1) if f(x) = –3x – 2 and g(x) = 3x3 – 24x .
A. f(–9) = 25
g(–1) = 21
B.f(–9) = –5
g(–1) = 20
C.f(–9) = 29
g(–1) = 26
D.f(–9) = 3
g(–1) = –27
Answer:
1. f(–9) = -66 , g( 1 ) = 27 (Please double-check your given options, there must have been a typographical error for Option C for g( 1 ) = 29). g( 1 ) is supposed to be 27.
2. Option A: f(–9) = 25, g(–1) = 21
Step-by-step explanation:
1.Find the value of f(–9) and g(1) if f(x) = 8x + 6 and g(x) = 9x + 20x−2
f(x) = 8x + 6
f(–9) = 8(-9) + 6 = -66
g(x) = 9x + 20x − 2
g( 1 ) = 9( 1 ) + 20( 1 ) − 2 = 27
None of the given choices were correct (unless there's a typo error for Option C — it's supposed to be g( 1 ) = 27 instead of 29?) because the correct answers are: f(–9) = -66 and g( 1 ) = 27
2. f(–9) and g(–1) if f(x) = –3x – 2 and g(x) = 3x³ – 24x
f(x) = –3x – 2
f(–9) = –3(–9) – 2 = 25
g(x) = 3x³ – 24x
g(–1) = 3(–1)³ – 24(–1) = 21
Therefore, the correct answer is Option A: f(–9) = 25, g(–1) = 21
Please show work! Have test tomorrow and stuck, btw thank you! :)
Answer:
73
Step-by-step explanation:
8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73
Answer:
73
Step by-step explanation:
I dont know how to explain it I just put it into a calculator
-7(w+4) +2w - 15 simplify
Answer:
w=-8.6 is your answer
-5w-43. is the simple version
Step-by-step explanation:
First distrubute the -7 and set equal to 0 so that we can move the w to the other side.
-7w-28+2w-15=0
-5w-43=0
add 43 to both sides so you can slove for w
-5w=43
divide both sides by -5 to isolate the w
w=-8.6
Module One Project Option 1 It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms. Shipping Box Fish Food 1 ft ft ft 0 ft 3 ft 3 / 4 Instructions:
Answer:
well we know the fish food 1/4 x1/4 x 1/4 = 1/64 because 4x4x4 equals 64 and denominator stays the same and the shipping boxes is simplify 3 3/4x = 15/4 and 3 becomes 3/1 and 3 1/4 becomes 13/4 and multiply 585/16
Step-by-step explanation:
plssss answer the question
-19=-14v+14v
Solve for V
:) gets brainliest
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Let's solve for v :
[tex] - 19 = - 14v + 14v[/tex]here, the the terms associated with v, that us -14v and 14v gets cancel out, so there's no solution for v and hence it's value can't be determined.
No links
40 points
if you give me a reasonable answer quick enough, you get brainliest
Answer: $675 hope this helps I tried
what number must be subtracted from both the numerator and denominator of 5/9 to obtain a fraction equal to 3/8
Answer:
67 / 72
Step-by-step explanation:
3/8 + 5/9 = 27/72 + 40/72 = 67/72
Help this is due tmr!!
Answer:
A is correct
Step-by-step explanation:
16.-:- En una granja hay 52 animales, entre vacas y chanchos. Si se sabe que la
frecuencia relativa de vacas es 14, ¿Cuántos chanchos tiene la granja? *
10
13
38
39
Answer:
what it mean???? I'm just asking
Calculate the vertices of the figure given by A (1, 3), B (4, 7), and C(6, 6) after being
translated using the rule (x, y) > (x + 2, y + 3).
The new points are:
A’
B’
C’
Answer:
see explanation
Step-by-step explanation:
The rule (x, y ) → (x + 2, y + 3 )
Means add 2 to the original x- coordinate and add 3 to the original y- coordinate, that is
A (1, 3 ) → A' (1 + 2, 3 + 3 ) → A' (3, 6 )
B (4, 7 ) → B' (4 + 2, 7 + 3 ) → B' (6, 10 )
C (6, 6 ) → C' (6 + 2, 6 + 3 ) → C' (8, 9 )
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER....
You have a $25 gift card for a donut shop. Each donut costs $1.25. Write an equation in
slope-intercept and standard form that gives the amount (in dollars) that remains on the card as a
function of the total numbers of donuts you have purchased so far.
The equation of the given situation is required.
Slope intercept form [tex]y=-1.25x+25[/tex]
Standard form [tex]1.25x-y=25[/tex]
The total amount of money is $25.
Cost of one donut is $1.25
Let y be the amount of money left
x be the number of donuts bought.
So, the amount of money left after buying x donuts is
[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]
The standard form is [tex]1.25x-y=25[/tex]
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Can someone help me with part B?? I already did part A
Thank you so much :)
Answer:
-150
Step-by-step explanation:
this is because you do 250 - 100 which equals -150
In part A you subtracted 100 from 100 giving you 0.
Continuing to part B you would subtract 100 from 250 leaving you with 150.
Which of the following is written correctly in scientific notation?
11.7 x 104
203 x 10-2
3x75
1.234 x 10-6
Answer:
it would have tobe the forst option but iy has to be written 11.7 × 10^4
Evaluating expressions please help
Answer:
-15
Step-by-step explanation:
-1-7*(2)=-1-14=-15
HELP ASAP 23 POINTS!!!!!!!!!!!!!!!!!!!
PLEASE ANSWER I WILL GIVE THANKS AND BRAINLIEST!! <33
Answer:
13) 10
17) 15
21) 10
25) 1
Step-by-step explanation:
13)
5x becomes 5(2) which is 5 times 2 = 10
17)
(4x) + 7 becomes (4 times 2) + 7 = 15
21)
(2x) + (2y) becomes (2 times 2) + (2 times 3)
= 4 + 6
= 10
25)
1/2(z - x) becomes 1/2(4 - 2)
= 1/2(2)
= 1
120 degrees and 5x+1
solve for x
Answer:
x=9
Step-by-step explanation:
180 =120+5x+15
60=5x+15
45=5x
9=x
A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
We have to find slopes one by one.
#1
(0,1)
(12,3)
Line passes through this.
#2
(-2,-5)
Line passes through this
#3
(-3,1)
Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
( 1,15)
Line passes through this
#5
(5,-2)
Therefore, The Line does not pass through this.
Explain why x2+7x+4=7x has no solutions.
[tex]x^2+7x+4=7x[/tex]
[tex]x^2+4=0[/tex]
[tex]x^2=-4[/tex]
Square of any real number cannot be negative because - * - = + so this equation has no solutions
whats 186,282 rounded to the nearest thousand ?
Answer: 186,000
Step-by-step explanation:
You round the 282 down so that it is an even thousand. <3
186,282 rounded to the nearest thousand is 186,000.
To round 186,282 to the nearest thousand, we look at the digit in the thousands place, which is '6'.
If the digit in the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.
In this case, since the digit in the hundreds place is '8', which is greater than 5, we round up.
To round up, we increase the digit in the thousands place by 1 and replace all the digits to the right with zeros.
Therefore, rounding 186,282 to the nearest thousand gives us 187,000.
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Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.
Lowest term of 4 11/12
Answer:
its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.
A truck can be rented from Company A for $140 a day plus $0.30 per mile. Company B charges $80 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
800 miles
Step-by-step explanation:
140 + (0.30 x 800) = 400$, 800 miles
80 + (0.40 x 800) = 400$, 800 miles
(sorry for incorrect answer the first time, mixed up the cost and number of miles)
what is an equation of the line in the slope- intersepct is (0,3)
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
Trey is taking his friends out to dinner to celebrate graduation. It will cost him $72 to reserve a table, and another $5 per guest. How many people can he invite if he can only spend up to $130?
Answer:
11 people
Step-by-step explanation:
first, youd subtract the table reservation price from the max price.
130 - 72 = 58
then, since each person costs $5, you find the highest multiple of 5.
in this case, its 55, which has 11 groups of 5 in it.
to make sure:
you can then subtract 55 from 58 to make sure there isnt any extra 5's.
58 - 55 = 3.
Write the equation of the line in slope intercept form.
Help!!!!!!!
(-8,10); m=1/2
Answer:
y=1/2x+14
Step-by-step explanation:
If you mark (-8,10) in a graph and go up 1, over 2, then you will eventually get to (0,14).
You can also use the slope formula in reverse. 1/2=b-10/0-(-8)
1/2=b-10/8, then multiply both side by 8
4=b-10, add 10 to both sides
14=b