4 years ago

What is the length of DE?

Mathematics

1 answer:

bekas [8.4K]4 years ago

6 0

I believe it is 25.

15/24=x/40
cross multiply to get
15*40=24x
600=24x
x=25

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Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

3 0

3 years ago

If f(x) = x2 and g(x) =1/ 2x+3, find g(f(-1)).

Dvinal [7]

-1=1/2x+3
2=1/2x
(2)2=1/2x(2)
4=x
Answer: x=4

5 0

3 years ago

What is the answer pls for this is hard

yanalaym [24]

Answer:

125.6 units = x

Step-by-step explanation: