Answer:
<h2>The answer is 13.4 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (10,-1) and B (-2,5)
The distance is

We have the final answer as
<h3>13.4 units to the nearest tenth</h3>
Hope this helps you
We must know that the are of the triangle is given by definition by
A = (1/2) * (b) * (h)
where
b = base
h = height
Substituting the values
A = (1/2) * (x) * (1 + 6x)
A = (1/2) * (x + 6x ^ 2)
Since the area is 13 then
(1/2) * (x + 6x ^ 2) = 13
Clearing x we have
6x ^ 2 + x = 26
6x ^ 2 + x-26 = 0
(x-2) * (x + 13/6) = 0
As we look for the base of a triangle then x> 0
x = 2
answer
the base is x = 2
6x ^ 2 + x = 26
Answer:
Cynthia will have to pay $152.16 extra in finance charges.
Step-by-step explanation:
Cynthia had a credit card with a 17% APR and a $3,265 balance.
Cynthia’s credit card company has increased her interest rate to 21%.
Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24
Second when p = p = 3265 r = 21% and n = 24
Scenario 1:

EMI formula is :

Putting the values in formula we get;

= 
EMI = $161.43
Scenario 2:
r = 
Putting the values in formula we get;

= 
EMI = $167.77
Now, difference in EMI's =
dollars
And for 24 months this amount becomes =
dollars
Therefore, Cynthia will have to pay $152.16 extra in finance charges.
Answer:
since ABC and ADE are similar,they have equal areas.
(AC)^2/(AE)^2=area ABC/ADE
areaABC=ACE=1
so substitute it in the afformentioned equation
u will get,AC=AE
To fill in the values we have the following
a. log6⁰, log 2 . 1, log 8/3
b. log 1 .4 , 1 , log 4. 6
c. log 9/2, log 3. 5 , log 5⁷
<h3>How to find the logarithm of a number</h3>
To do this, you have to decide on that particular number that you want to find the logarithm on. Next you have to find the base of that number.
The logarithm of the number is the power that it would have to be raised for us to obtain a different number. You have to note that the logarithm of the number is the exponent that a base would have to be raised up to in order to get a particular number.
Log6⁰ for instance would give us the solution of 1 as the answer. While telling us that we have that the exponent is 0 while the base is 6.
One good property of logarithm is that log m/n = log m - log n also when we have log mn, it is the same as log m * log n
Read more on the logarithm of a number here: brainly.com/question/1807994
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