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3 years ago

Suppose you're given the formula P = 9m – 3n. If you know that n is 1⁄3 of m, how could you rewrite this formula?

Mathematics

2 answers:

ratelena [41]3 years ago

8 0

Answer:

Option C - $P=8m$

Step-by-step explanation:

Given : Formula $P=9m-3n$ If you know that n is $\frac{1}{3}$ of m.

To find : How could you rewrite this formula?

Solution :

Step 1 - Write the formula,

$P=9m-3n$

Step 2 - Substitute, $n=\frac{1}{3}m$

$P=9m-3(\frac{1}{3}m)$

Step 3 - Solve,

$P=9m-m$

$P=8m$

Therefore, The formula can be re-write as $P=8m$

So, Option C is correct.

algol133 years ago

4 0

Answer:

This problem is very easy. Start with the formula given, i.e., n=3m-2l. Now, use the fact that you are told that l = m+2 and rewrite your original formula as

n = 3m -2(m+2).

Simple algebraic manipulations give n = 3m-2m - 4 = m-4. So the answer is (A).

Step-by-step explanation:

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BD is the angle bisector of

AlexFokin [52]

Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

8 0

2 years ago

Which equation could represent p? Please please help

Andre45 [30]

Answer:

Step-by-step explanation:

Looking at the brackets you can see where the curve will intersect the x-axis.

The graph shows the curve intersecting at (0,-3) and (0,2).

This means:

x = -3

AND

x = 2

Rearrange the equations, equating them to 0.

x + 3 = 0

x - 2 = 0

This will be the values in the brackets.

Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.

Therefore your brackets are: (x+3)(x-2)(x-2)

Which can be simplified:

(x+3)(x-2)^2

Where ^2 means squared.

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gizmo_the_mogwai [7]

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Step-by-step explanation:

on edg

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