Answer:
[tex]\sqrt{-98}=7i\sqrt{2}[/tex]
Step-by-step explanation:
We wish to simplify:
[tex]\sqrt{-98}[/tex]
We can rewrite it as such:
[tex]=\sqrt{-1\cdot 98} =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}[/tex]
Hence:
[tex]=i(7)\sqrt{2}[/tex]
Therefore:
[tex]\sqrt{-98}=7i\sqrt{2}[/tex]
Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.
Answer:
48
Step-by-step explanation:
I solved the problem step by step on paper and got it right
HELP GEO QUESTION THX... GIVE ME EXPLANATION PLZZZZZ THXXXXX SOO MUCCHHHH
E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.
When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.
Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.
From the reflective property, we can say EB = EB
---------------
Using these three facts
EC = ABangle EBA = angle BECEB = EBto prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to
angle BEA = angle EBC
we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.
-----------------
In summary, we have proven:
EC is parallel to ABEA is parallel to BCBy the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.
A game decreased in price by
1/3
After the reduction it was priced at £26.
What was the original price of the game??
Answer: £78
Step-by-step explanation
It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.
26 × 3 = £78
The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.
Answer:
-1250/1 or -1250
This tells us that the car depreciated in value by $1250 every year.
Step-by-step explanation:
11,095-13,595= -2500
This is the value that the car has depreciated over 2 years (from the first year to the third year)
Since we need to find the slope we divide this value by two.
That value would be -1250
Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year
Hope this helps!
Which one is correct? Please hurry :)
Answer:
b: 3 cm
Step-by-step explanation:
just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.
Juliet needs to rewrite 3 (x + 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process?
A. She could combine the x and 2 to get 3 (2 x) = 6 y.
B. She could divide both sides by 3 to get x + 2 = 2 y.
C. She could distribute the 3 to get 3 x + 2 = 6 y.
D. She could subtract the 6y to get Negative 6 y = 3 (x + 2).
Answer:
because the x+2 is in parentheses, to put the equation in slope intercept form you would distribute the 3 to the x and the 2 using multiplication. So it would be 3x+6=6y. The final result would be y=1/2x+1.
Answer:
C. She could distribute the 3 to get 3 x + 2 = 6 y.
Step-by-step explanation:
Which notation best represents the phrase “at least 24”?
Answer:
less than or equal to 24
Step-by-step explanation:
this symbol ≤
Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
What is a function in math?
if you explain I will make you brainiest!
Answer:
A function is an equation in math that connects an input to a given output.
Step-by-step explanation:
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answer:
-22
Step-by-step explanation:
type it in google
write any 5 safety measures that should be followed while working at industry .
PLSS help
the answer either has to be -3 , 1/2, 2, 3, 0 , 1 , -2 , 5 , undefined
Answer:
-3
Step-by-step explanation:
4-7/1-0
1-4/2-1
-2-1/3-2
hello i need your help againnnn
Answer: -3 :)
Step-by-step explanation:
What is the least possible value of x if x^2 + 21 = 30
Answer:
Least possible value of x is 3
Step-by-step explanation:
Given:
x² + 21 = 30
Find:
Value of x
Computation:
x² + 21 = 30
x² = 30 - 21
x² = 9
x = √9
x = 3
Least possible value of x is 3
Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. Find their ages.
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
the side length of a square can be expressed as 2x+3. If the area of the square is 121 square meters, what is the value of x?
Answer:
x=4
Step-by-step explanation:
(2x+3)^2=121
2x+3=square root of 121
2x+3=11
2x=11-3
2x=8
x=4
(in a square all sides are equal therefore area =length ×width where length and width=2x+3)
4.5 +(6y-3.5x)+7=
expression
10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
Answer:
Approximately 15 tea hees
Step-by-step explanation:
Given that:
Number of teachers needed to Mark 500 exam papers in 30 hours =
Hence, marking rate of each teachers ;
500 / (30 * 10) = 500 / 300 = 1.667 papers per hour
If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;
Let number of teachers = t
(Rate * number of hours * number of teachers) = number of exam papers to be marked
(1.6667 * 25 * t) = 600
41.666665t = 600
t = 600 / 41.666665
t = 14.40000
Number of teachers needed = about 15 teachers
Is (-1, -4) a solution to a equation y=6x_ -2?
Simplify:
a) 3y - y
b) 69 + 4 - 9 +5
Answer:
a) 2y
b) 69
Step-by-step explanation:
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
To know more about an expression follow
https://brainly.com/question/15059152
#SPJ2
PLEASE HELP ME! please!
Answer:
yes addison is right because using distributive property would get you from "5 (x + 1) - 2x = 2 (3 + x)" to "5x + 5 - 2x = 6 + 2x". from there, you'd combine like terms and simplify. you get "3x + 5 = 6 + 2x". Subtract 2x on each side, and you get "x + 5 = 6". Subtract 5 on each side, you get "x = 1".
ahhhhhhhhh come on I'm so stupid
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answer: 2x+y=-6
Step-by-step explanation:
What is the area of ABC?
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
Which correctly explains how to estimate 55 percent of 64? A. Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as 1/4 so 1/4 of 60 is 15 B. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as 1/3 so 1/3 of 70 is 23.3 C. Round 55 percent to 50 percent and 64 and 70. Think of 50 percent as 1/5 so 1/5 of 60 is 12 or D. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30
Answer: Choice D
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.
===================================================
Explanation:
There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.
Taking half of 60 is like taking half of 6, except we stick at 0 at the end.
Half of 6 is 3
Half of 60 is 30
The estimate of 55% of 64 is 30
The actual value is
55% of 64 = 0.55*64 = 35.2
which isn't too far off.
-------------------------
Extra info:
Choice A is false because 40% is not equal to 1/4. Instead 1/4 = 0.25 = 25%Choice B is false because 1/3 = 0.333 = 33.3% approximately, so 1/3 is not equal to 60%Choice C is false because 1/5 = 0.20 = 20% and not 50%⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation:
Simplify: (5x^3y^7)(7x^5y)
Answer:
35x^8 y^8
Step-by-step explanation:
Answer:
[tex]125y {}^{5}(7x {}^{5}y)[/tex]
Which answer is correct? Please hurry
Answer:
15
Step-by-step explanation:
40 of them are offense players, 5 are special teams which means that 15 are defensive
Answer: 2/3 of 60 = 40
1/12 of 60 = 5
40 + 5 = 45 obviously.
45 + 15 = 60.
Therefore the amount of defensive players would be 15.