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3 years ago

What type of triangle had side lengths of 4,7 and 9

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

A scaled triangle because they are all different lengths

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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

Which equation can be solved by using this expression?

Marat540 [252]

Answer:

The correct answer option is B. 2 = 3x + 10x^2

Step-by-step explanation:

We are to determine whether which of the given equations in the answer options can be solved using the following expression:

$x=\frac{-3 \pm\sqrt{(3)^2+4(10)(2)} }{2(10)}$

Here, $a = 10, b = 3$ and $c=-2$ .

These requirements are fulfilled by the equation 4 which is:

$12=3x+10x^2$

Rearranging it to get:

$10x^2+3x-2=0$

Substituting these values of $a,b,c$ in the quadratic formula:

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

$x= \frac{-3 \pm\sqrt{(3)^2-4(10)(-2)} }{y}$

3 0

3 years ago

Potatoes are 50p a pound . how much for 24oz

Tems11 [23]

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

8 0

3 years ago

Read 2 more answers

How do I solve x+4y=22 -x+5y=23

xxTIMURxx [149]

{ x + 4y = 22 ( + x - x = 0 )
{ - x + 5y = 23

4y + 5y = 22 + 23
9y = 45
y = 45 
9
y = 5

x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2

S = { 2 , 5 }

3 0

3 years ago

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7. Which set of ordered pairs represents a function?

Likurg_2 [28]

Answer:

Step-by-step explanation:

to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's

5 0

3 years ago