Answer:
<em>OR </em><em>in </em><em>Decimal</em>,
Step-by-step explanation:
<u>Given:</u>
Two points, that is (5,3) & (8,5)
<u>To Find:</u>
The Distance of the two given points
<u>Solution:</u>
To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :
According to the Question,
Now Substitute the values on the formula of Distance and then Simplify:
<em>[Follow PEMDAS rule while simplifying]</em>
Hence, the distance between the two given points would be 
or 
.
I hope this helps!
Have a good day! :)
<em>[Desmos Graph solution is attached]</em>
Answer:
The answer is -3.
Step-by-step explanation:
3x²-7x+1
=3(1)²-7(1)+1
=3-7+1
=-4+1
=-3
Answer: 100
---------------------------------
---------------------------------
Explanation:
First term
f(1) = 1
which is given to us
We will use the equation f(n+1) = -10*f(n) to generate successive terms after this first term.
---------------
Second term
f(n+1) = -10*f(n)
f(1+1) = -10*f(1) ... plug in n = 1
f(2) = -10*f(1)
f(2) = -10*1 ... replace f(1) with 1 (works because f(1) = 1)
f(2) = -10
Put another way, the second term is -10 times the first term
second term = -10*(first term)
second term = -10*(1)
second term = -10
---------------
Third term
f(n+1) = -10*f(n)
f(2+1) = -10*f(2) ... replace n with 2
f(3) = -10*f(2)
f(3) = -10*(-10) ... replace f(2) with -10 (works because f(2) = -10)
f(3) = 100 which is the answer we want
In other words, the third term is -10 times the second term
third term = -10*(second term)
third term = -10*(-10)
third term = 100
---------------
Summary of the three terms
f(1) = 1
f(2) = -10
f(3) = 100
Each term is found by multiplying the previous term by -10
Answer:
9
Step-by-step explanation:
The coefficient is always the number before the variable (X).
{ 3 x - 2 y = 30 * ( 2 )
2 x + 3y = - 19 * ( -3 )
↓
6 x - 4 y = 60
- 6x - 9 y = 57
______________
-13 y = 117
y = 117 / - 13
y = - 9
For x :
3 x - 2y = 30
3 x - 2 ( -9) = 30
3 x + 18 = 30
3 x = 30 - 18
3 x = 12
x = 12 / 3
x = 4
x = 4 and y = -9
hope this helps!
