Answer:
[tex]5\sqrt{5}i[/tex] or D
Step-by-step explanation:
[tex]\sqrt{-125} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-125}=\sqrt{-1}\sqrt{125}\\\\=\sqrt{-1}\sqrt{125}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{125}i\\\\=5\sqrt{5}i[/tex]
Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)
Step-by-step explanation:
(5 – 5i) . (-3+5i)
=-15+25i+15i-25i²
=-25i²40i-15
Answer:
-25i^2+10i-15
Step-by-step explanation:
(5 – 5i) . (-3+5i)
foil
1)5*-3=-15
2)5*5i=25i
3)-5i*-3=15i
4)-5i*5i=-25i^2
put that all together
-25i^2+15i+25i-15
simplify
-25i^2+40i-15
Please help!!!!!!!!!
Answer:
8/125
Step-by-step explanation:
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area is: 1923.25 cm²
Step-by-step explanation:
A hemispherical bowl is made of brass has an inner diameter of 35 cm.
i.e. d = 35 cm
As the radius is basically half of the diameter.
r = d/2
= 35/2
= 17.5 cm
The inner surface area of a hemispherical bowl = 2πr²
= 2(3.14)(17.5)²
=1923.25 cm²
Therefore, the inner surface area is: 1923.25 cm²
Write the ratio 12 to 18 as a fraction in simplest form.
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
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Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
Write an equation: Gianna finds $20 on the floor, and she starts saves her allowance
of $5 every week.
Answer:
5x +20
Step-by-step explanation:
Round 8250 to the nearest hundred.
Answer:
8300
Step-by-step explanation:
i believe it is 8300 but if im wrong let me know
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
Answer:
Step-by-step explanation:
missing the Q: it asks 2 classify the triangles.
so the ans:
ABC - obtuse
JKL - right-angled
PQR - acute
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
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A field has a length of 6 2/3 yards and a width of 4 3/4 yards. What is the area of the field.
Answer:
Ste-by-step explanation:
That doesn’t answer it stupid
50+ POINTS!!! DUE TODAY!! PLS HELP!!
1) Only do 10-29
2) choose 10 and make word problems for them
3) Get 50+ points and BRAINLIEST
DONT ANSWER IF U DONT KNOW
Answer:
10. 4+x=3
11. 1/2/x=24
12. 2(7+x)
13. X+5=21
14. 4-(3x)
15. 1/2x(11)
16. 2x/10=7
17. X^2+18=3
18. 13-x=9
19. 9(x-43)
20. 7x^2=2
21. 12+8x
22. 1/2x-1=10
23. 7x^3=10
24. 9-3x=4
25. 4x+8=1
26. 7-x^2=1
27. 5+10x=11
28. 2(x-6)=20
29. 8-x^2=24
Step-by-step explanation:
10) 4+x=3
11) 1/2/x=24
12) 2(7+x)
13) X+5=21
14) 4-(3x)
15) 1/2x(11)
16) 2x/10=7
17) X^2+18=3
18) 13-x=9
19) 9(x-43)
20) 7x^2=2
21) 12+8x
22) 1/2x-1=10
23) 7x^3=10
24) 9-3x=4
25) 4x+8=1
I'm a simp who watches the simpsons and lives a simplistic lifestyle.
The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.
Answer:
The equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Step-by-step explanation:
Let m₁ and m₂ be the slope of line AD and BC respectively.
Now, AD⊥BC
∴ m₁ × m₂ = -1
be the slope of line AD and BC respectively.
⇒ m₁ = -1/m₂ → (A)
Finding the slope of BC using points
B(2, 2)
C(6, - 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]m_{2} =\frac{-2-2}{6-2}[/tex]
[tex]m_{2} =-1[/tex]
On substituting the value of m₂ in equation (A)
m₁ = -1/m₂
= -1/(-1)
= 1
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be
[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]
[tex]y-1=x+2[/tex]
[tex]y=x+3[/tex]
Therefore, the equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
15 people working 5 hours per day can make 30 units of a product in 10 days. Assuming all other factors remain constant and people of the same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
Answer:
I don't really understand it very well
It will take 10 people working 10 hours per day about 2.5 days to make 10 units of the product.
From the statement of the question; 15 people working 5 hours per day can make 30 units of a product in 10 days. Hence, the number of units that can be made in a day is;
Number of units per day = (15*5*10)/30
= 25 units/day
Now; if 10 people make 10 units, working 10 hours per day, it will take them x number of days.
x = (25*10)/10*10
x = 2.5 days
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Please help meeeeeeeee
Answer:
m <4= 57 degrees
m<5= 123 degrees
m<6= 35 degrees
I hope this helps and good luck!
Answer:
m∠4 = 57°
m∠5 = 123°
m∠6 = 35°
Step-by-step explanation:
m∠4 ≅ ∠57°
Therefore m∠4 = 57°
Following this rule of thumb
m∠6 ≅ 35°
m∠6 = 35°
m∠5 = 180 - 57
m∠5 = 123
Its hard to explain given the fact that I cant quite point to each angle
Hope this helps
In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.
Answer:
The largest angle is <B.
Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.
This is a property in geometry.
Step-by-step explanation:
Please give me Brainlest!
The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.
Answer:
10700 to the 7 power ould be your answer
Step-by-step explanation:
10700
40 - 2× 3². What the answer
I believe the answer is 22!
Answer:
The answer is 22
Step-by-step explanation:
40-2(3^2)
= 40 - (2)(9)
= 40 - 18
= 22
Hope this helps
4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?
(I am lazy to answer this by myself so please help me)
Answer:
3
Step-by-step explanation:
3 times 4 equals 12
hope I got it right
Step-by-step explanation:
they would each get 4 pencils
what is the slope of the line through [-1,2] and [2,-3]
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled
What additional information is needed to show that ABC 2 ADEF by ASA?
A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF
Answer:
AB≈DE
then, in triangle ABC&in triangle DEF
angle CAB =angle FDE
side AB= side DE
angle ABC= angle FED
So, triangle ATC≈ triangle DEF (A.S.A)
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Answer:
3,600 seconds
Step-by-step explanation:
multipy how many hours by 3,600
(so 1 times 3,600)
Answer:
3,600 seconds
Step-by-step explanation:
[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]
HELP MEEEE
Which of the three following graphs display the same data?
County Voter Turnout
(thousands)
County Voter Turnout
(thousands)
110
107
110
103
99
100
97
98
105
1.
II.
90
100
80
70
95
1992 1996 2000 2004 2008
1992 1996 2000 2004 2008
County Voter Turnout
(thousands)
Cuvanog
County
Answer:
Step-by-step explanation:
I cant see the third but I know the first and second are the same
The bar graph and the line graph display the same data.
What is a bar graph?A bar graph is a type of chart that displays data as a series of bars or columns, with each bar representing a category or group and the height or length of the bar corresponding to the value or frequency of the data.
We have,
We see that,
Bar graph:
Year Voters turnout
1992 99
1996 107
2000 103
2004 97
2008 98
Line graph:
Year Voters turnout
1992 99
1996 107
2000 103
2004 97
2008 98
Now,
This means that the bar graph and the line graph are the same.
Thus,
The bar graph and the line graph display the same data.
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Yea I need help
I’ll give 20 points
Answer
Its the 3rd option
Step-by-step explanation:
Mr. Stack and Coach Pugh are racing down the highway. Coach Pugh is going five miles more an hour than twice Mr. Stack's speed. If Coach Pugh is going one hundred and five miles and hour, how fast is Mr. Stack going?
Answer:
50
Step-by-step explanation:
2(Mr stack's speed) = Coach Pugh's speed - 5mph
Mr stack's speed = (105mph - 5mph)/2
Mr stack's speed = 100mph/2
Mr stack's speed = 50mph
Which word describes the relationship of the points (3, 1)
and (3, 6)?
O A) collinear
OB) parallel
OC) perpendicular
OD) coincident
Answer:
where is the diagram dude
i think u wolud be having a digram of it
What is the quotient of (4x2 – 15x + 9) = (x – 3)?
4x - 3
4x + 3
3x - 4
3x + 4
Answer:
Step-by-step explanation:
(4x^2-15x+9) ÷ (x-3)
4x-3