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mash [69]
2 years ago
7

Write an expression to represent the sum of three consecutive integers, the smallest of which is n.

Mathematics
2 answers:
andrew11 [14]2 years ago
7 0
Here is the answer:
n+n+1+n+2
=3n+3. Hope it help!
s2008m [1.1K]2 years ago
6 0
N+(n+1)+(n+2)=n+n+1+n+2=3n+3
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Another how many liters are in 3.7 gallons
9966 [12]
I got:
37 times 3.79 = 140.23
You may need to verify.
3 0
3 years ago
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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
I need to solve cy−7=5d+3y for y, any help?
iVinArrow [24]
Given cy - 7 = 5d + 3y, we solve for y as follows:

cy - 3y = 5d + 7

y(c - 3) = 5d + 7

y = (5d + 7) / (c - 3)
8 0
3 years ago
Read 2 more answers
Find such a coefficient for a for the linear equation ax-y=4, so that the graph of the equation would pass through the point M(3
Alla [95]

Answer:

Can you send me a picture I am confused

Step-by-step explanation:

5 0
2 years ago
The sum of two numbers is 15. four times the smaller number is 60 less than twice the larger number. what is the larger number?
kirza4 [7]
X = smaller number, y = larger number
x + y = 15.....x = 15 - y
4x = 2y - 60

4(15 - y) = 2y - 60
60 - 4y = 2y - 60
60 + 60 = 2y + 4y
120 = 6y
120/6 = y
20 = y <==== larger number is 20

x + y = 15
x + 20 = 15
x = 15 - 20
x = - 5
4 0
3 years ago
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