Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31
The function is given as:

When the normal systolic pressure is 125, it means that:

So, we have:

Subtract 125 from both sides of the equation


Rewrite the equation as:

Using a graphing calculator, we have:

But age cannot be negative.
So, we have:

Approximate

Hence, the age of the woman is 31
Read more about quadratic functions at:
brainly.com/question/11441586
∵ the two triangles are congruent
AB / AD = BC / DE
8/4 = 6/ DE
DE = 6 x 3 ÷ 8 = 3 cm
Answer: Yes
Step-by-step explanation:
So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.
Answer:
8 units
Step-by-step explanation:
so there is something called Pythagorean thereon and it states that a^2+b^2=c^2
and 6 is either a or b
and c is ten so
6^2+b^2=10^2
36+b^2=100
b^2=64
here you need to find the square root in order to delete the power so

b=8
or
x=8