5√2 - √8 = 5√2 - √(4 · 2) =
= 5√2 - √(2² · 2) = 5√2 - 2√2 = 3√2
[tex] \large \mathfrak{Solution : }[/tex]
let's solve :
[tex]5 \sqrt{2 } - \sqrt{8} [/tex][tex]5 \sqrt{2} - 2 \sqrt{2} [/tex][tex]3 \sqrt{2} [/tex][tex]3 \times 1.41[/tex][tex]4.23[/tex]write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4
Answer:
y = - 3x + 21
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 4 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (7, 0 ) into the partial equation
0 = - 21 + c ⇒ c = 0 + 21 = 21
y = - 3x + 21 ← equation of parallel line
How many different 6-digit license plates are possible if the first 3 digits can be any letter and the last 3 digits can be any number?
A. 108
B. 17,576,000
C. 128
D. 15,725,000
Answer:
B
Step-by-step explanation:
every position on the license plate is independent from the others.
so, for each position we have the full choice of all possibilities.
there are 26 letters in the alphabet. and there are 10 different single numeric digits.
so, for the first position we have 26 possibilities. as we have for the second and third positions.
the means for each option for the first position we have 26 choices for the second.
that is 26×26.
then for each given choice of the first 2 positions we have 26 choices for the third position.
that is then 26×26×26 possibilities.
for each of the given choices of the first 3 positions we have 10 choices on the fourth position. and then on the fifth and the sixth positions.
the makes altogether
26×26×26×10×10×10
even without calculator I know it must be B, because the number of possibilities must end with 3 "0"s (due to the 10×10×10).
and the main number block must end with a "6" due to 26×26×26, which means for the last position we only need to consider 6×6×6. 6×6 = 36 ending in a "6". and that again multiplied by 6 is again 36 ending in a "6".
so, 26×26×26 has to end with a "6". that gives us B.
Help pleaseeeeeeeee
Determine the sum of the first 10 terms of each geometric series.
a) 4 + 12 + 36 + ...
Answer:
I think the sum of the first 10terms of each geometric series is
4x3=12
= 4+12
12x3=36
=4+12+36
36x3=108
=4+12+36+108
108x3=324
=4+12+36+108+324
324x3=972
=4+12+36+108+324+972
972x3=2916
= 4+12+36+108+324+972+2916
2916x3=8748
=4+12+36+108+324+972+2916+8748
8748x3=26244
=4+12+36+108+324+972+2916+8748+26244
26244x3=78732
=4+12+36+108+324+972+2916+8748+26244+78732=the sum of the geometric series which is = 118,096.
hope this helps I am not sure of the answer but I tried my best.
Refer to the graphic novel frame below. The brochure says that the rope is 500 feet long. Jacob drew a triangle in the sand that is similar to the actual triangle formed by a parasailer and the boat. Use the properties of similar triangles to determine the parasailer's height above
To solve this problem use the property of similar triangles,
"Corresponding sides of the similar triangles are proportional"
By using this property, height of the parasailer is 160 feet.
From the figure attached,
In ΔPQR, a parasailer is a at point P and a boat is at R.Actual length of the rope PR = 500 ftJacob drew a similar triangle ABC in which parasailer is at A and the boat is at C.Let the height (PQ) of the parasailer = x ft
Height of the parasailer AB = 25 ft.
And the length of the rope AC = 2.5 ft.
Since, both the triangles ΔABC and ΔPQR are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{PQ}=\frac{AC}{PR}[/tex]
[tex]\frac{2}{x} =\frac{2.5}{200}[/tex]
[tex]x=\frac{200\times 2}{2.5}[/tex]
[tex]x=160[/tex] ft
Therefore, height of the parasailer is 160 feet.
Learn more,
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I am very confused on this question.
Answer:
A= (-6, 5)
M= (-1.5, -1)
B= (3, -7)
Step-by-step explanation:
*----------------*---------------*
A M B
B has the same distance from M as A from M.
1/7 x X =1
X x 1/11=1
1 divided by 1/5=
Answer:
x = 7x = 115Step-by-step explanation:
attached.....
A number tmies two divied by four
Answer:
2
Step-by-step explanation:
2÷2 is 4 because 2×2 is 4 and it is asking that how many times two divided by four so A number 2 times two divided is four
PLZ HELP (-8x-6)-4 to the 2nd power
Answer:x=-0.75
Step by step: 4 to 2nd power multiple 4 by 4 you get 16 so (-8x-6)16 multiply 16 to -6 and -8x and so on...
Need help on this one please help thank you I don’t get it
Answer:
g(x) = -2x - 2
Step-by-step explanation:
g(x) = f(x) - 1
= -2x - 2 {the pattern of function graph moving up and down}
least to greatest 1/2, .25, -3.5, 2.5, -4/5
Answer:
-3.5, -4/5, .25, 1/2, 2.5
Step-by-step explanation:
help me solve this plz
Answer:
sorry but this photo is not clear
Answer:
blur photo cannot answered
find the simplest answer for 3% of 400
Answer:
3% of 400 is equal to 12
Step-by-step explanation:
Solving these kinds of problems is actually quite simple. For this one you would simply multiply 0.03 by 400 because 0.03 is the decimal form of 3%.
Hope that helps!
replace with <,>, or = to make a true statement: 2^5 4^2
Answer:
2^5>4^2
Step-by-step explanation:
[tex] {2}^{5} > {4}^{2} \\ 32 > 16[/tex]
hopefully this makes sense
:)
Section A of a theater has 9 rows with 8 seats in
each row. Section B has 4 rows with 7 seats in
each row. How many seats are in these sections
altogether?
Answer:
100
Step-by-step explanation:
Number of seat in sector A = number of rows * number of seats
= 9 * 8
= 72
Number of seat in sectorB = number of rows * number of seats
= 4 * 7
=28
Total seats = 72 + 28 = 100
i need help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
-3 + 4 = 1
Step-by-step explanation:
-3 + 4 = 1
Help! Perimeter and Area please.
12 The diameter of a circle is 24 cm. Its radius is
Answer:
Radius of circle=24cm÷2
=12cm
help me to solve it
Answer:
plz repost it
Step-by-step explanation:
What are the steps in finding the conditional distribution of a certain category in a dataset. Give an example and solve it.
Answer:
just distribute
Step-by-step explanation:
Just kidding HAHA
Closure illustrates that a characteristic of a set is not
necessarily a characteristic of all of its subsets. The real
numbers are closed with respect to multiplication, but the irrational numbers, a subset of the real numbers, are not. Give an example of a set that is not mathematical that has a particular characteristic, but which has a subset without this characteristic.
There are many examples to pick from, but one example is this:
The set of rational numbers (aka any fraction of two integers) is closed under the operation of division. Divide any two rational numbers and we get some other rational number.
However, the set of integers is not closed under division. If we divided 10 over 3, then we get 10/3 = 3.333 approximately which isn't an integer. So just because the set of integers is a subset of the rationals, it doesn't mean that the idea of closure follows suit from superset to subset.
Side note: The term "superset" is basically the reverse of a subset. If A is a subset of B, then B is a superset of A.
If C = 2πr and C = 24, what is the value of r? A. r = 12π B. r = 242π C. r = 48π D. r = 48π
C = 2πr
C = 24
Replace c with 24:
24 = 2πr
Divide both sides by 2:
12 = πr
Divide both sides by π
R = 12/π
Step-by-step explanation:
C = 2πr
24 = 2πr
24/2 = πr
12 = πr
12/π = r
Amanda's earnings vary directly with the number of hours she works. Suppose that she worked 9 hours yesterday and earned 117. how much will she earn today if she works seven hours
Answer:
91
Step-by-step explanation:
117/9 is 13 which means she earns 13 for each hour and for 7 hours it will be 13 multiply by 7 and that gives 91
A line goes through the points (7, 3) and (11, 5). What is the equation of the line? Answer quick pls.
Step-by-step explanation:
slope = ( y2-y1) / (x2-x1)
= (5-3) / (11-7)
= 1/2
y= mx+ b
m = slope
5 = 11/2 + b
5 - 5.5 = b
b = -0.5
the equation y = 1/2(x) - 0.5
The equation of line is x-2y =1
How do you find equation of a line?To find an equation of a line given the slope and a point.Identify the slope.Identify the point.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) . y − y 1 = m ( x − x 1 ) .Write the equation in slope-intercept form.Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.
Given coordinates are:
(7, 3) and (11, 5)
now, equation of line
(y- y1)= (y2-y1)/(x2-x1) *(x-x1)
y-3 =(5-3)/(11-7) *(x-7)
y-3= 2/4 * (x-7)
y-3= 1/2(x-7)
2y-6= x-7
x-2y =1
Hence, the equation of line is x-2y =1.
Learn more about equation of line here:
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Pls help! URGENT ONLY DO QUESTION 21 PLS
Answer:
y = x - 8
Step-by-step explanation:
There's no magic method to doing these, and problem 21 makes it harder to see a pattern by using inputs that are not consecutive integers (like problem 20 does)!
Looking at inputs 20 and 21, the outputs are 8 less than the inputs. Check the other inputs and notice that the same pattern holds up.
Help Please need answer in 10 minutes
Answer:
Answers
Step-by-step explanation:
Question 6 of 10
Gerald has $37 to buy maps for his hiking class. Each map costs $6. How
many maps can he buy? Do not include units in your answer.
Answer here
slopes , a few questions I need help on
place the numbers on the number line. (Please help me im new and don’t understand this at all.)
Answer:
-1.75, 3/4, 1.5, square root of 4 aka 2
Step-by-step explanation:
How can you use slope to determine whether the parallelogram is a rectangle?
Step-by-step explanation:
To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.
