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Lina20 [59]
3 years ago
8

Let logp/n=5 and logm/n=9

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer:

we know that

log (P/N) = log P - log N

so

log P - log N = 5----------------> equation 1

log (M/N) = log M - log N  

so

log M - log N = 9 ------------------> equation 2  

If you subtract equation 2 from equation 1,

you have

log M - log P = 4  

That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P

the answer is

the relationship between P and M is  

M = 10000P

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What is the value of x?
Fittoniya [83]
Let the 2 equal lengths be represented by 2p.  Then you can write the equation of ratios

  p       2p
---- = -------
16      x+4

which simplifies to 

  1        2
----- = ------
 16      x+4

then x+4 = 32, and x = 28 (answer)
8 0
3 years ago
What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?
zimovet [89]
ANSWER

y - x = - 1

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

y = - x + 4

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

m= - \frac{1}{ - 1} = 1

The equation of the line can be found using:

y - y_1 = m(x - x_1)

We substitute the slope and point to obtain:

y - 3 = 1(x - 4)

We simplify to get:

y - 3 = x - 4

y - x = - 4 + 3

The required equation is

y - x = - 1
5 0
3 years ago
Solve the proportion and round your answer to the nearest tenth.
GalinKa [24]

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

8 0
3 years ago
Is there a transformation that maps shape 1 onto shape 4?
Llana [10]

Answer:

1 place to the left and 2 places down

Step-by-step explanation:

(+1,-2)

5 0
3 years ago
Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4
bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0
3 years ago
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