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Vlad1618 [11]
4 years ago
14

Choose all the graphs that show a proportional relationship A, B, C, D (Multiple choice)

Mathematics
1 answer:
soldier1979 [14.2K]4 years ago
3 0

Answer:

A and B

Step-by-step explanation:

A.

The points are (1,2) and (4,8)

(4,8)=4(1,2)

(4,8)∝(1,2)

B.

The points are(1,6)and (3,4)

We don't established any relation between them.

So , there is no relation between them.

C.

The points are (1,6) and (3,4)

We don't established any relation between them.

So , there is no relation between them.

D.

The points are (2,1) and (4,2)

(4,2) = 2(2,1)

(4,2)∝(2,1)

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An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

-8x(7x-1)

And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

4 0
3 years ago
Given P(E) = 0.15, what is P(E')?
UkoKoshka [18]

Answer:

0.85

Step-by-step explanation:

P(E)+P(E')=1

SO, P(E')=1-P(E)

OR,P(E')=1-0.15

PLEASE MARK MY ANSWER AS BRAINLIEST.

= 0.85

6 0
2 years ago
On a number line, find the midpoint between -18 and 4.
sineoko [7]

The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.

4 0
3 years ago
A square has sides measuring 3 feet. If the sides of a square are doubled, will the area also double? Explain
Kryger [21]
Hello!

Let's find the area and see!

A = s^2

A = 3^2

A = 6 ft^2

Now, if you double 3, you get 6. 3 × 2 = 6 Find the area:

A = 6^6

A = 36 ft^2

ANSWER:

No, the area will not be doubled. The area was 9 ft^2 when the sides were 3 feet long. If you double 9, you get 18, since 9 × 2 = 18.

36 is not the double of 9, so no, the area is not double.
8 0
3 years ago
The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
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