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4 years ago

Suppose that y is directly proportional to x, and y = −16 when x = −2. What is the constant of proportionality?

Mathematics

2 answers:

trasher [3.6K]4 years ago

5 0

Answer:

In the given expression the constant of proportionality is k = 8.

Step-by-step explanation:

The quantity P is said to be directly proportional to Q if they vary in proportion to each other.

Here, P ∝ Q ⇔ P = kQ : k = Proportionality Constant

Now, here given y ∝ x and x = -2, y = -16

Now, y ∝ x ⇒ y = kx

or, (-16) = k (-2)

or, k = 16/2 = 8

⇒ k = 8

So, for k = 8, y ∝ x

Hence, in the given expression the constant of proportionality is k = 8.

yan [13]4 years ago

4 0

Answer:

Step-by-step explanation:

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Given Angle 1 = Angle 2, find x.

drek231 [11]

Answer:

x = 6

Step-by-step explanation:

Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is

$\frac{3}{x-4}$ = $\frac{x}{4}$ ( cross- multiply )

x(x - 4) = 12 ← distribute left side

x² - 4x = 12 ( subtract 12 from both sides )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

However, x > 0 , thus x = 6

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4 years ago

Somebody can help me please I don’t understand:(

Alex17521 [72]

Answer:

1) x=67, y=83, z=80 2) x=5

Step-by-step explanation:

1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67

x and y are supplementary meaning both sides equal 150 so 150-67=83

83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80

2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x

180=90+8x+2+9x+3

take 90 to other side so you are subtracting 180-90

90=8x+2+9x+3

combine like terms

90=17x+5

subtrcat 5 from 90

85=17x

now divide 85 by 17 and you get x=5

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3 years ago

When a net is folded into the rectangular prism shown beside it, which letters will be on the front and bottom of the rectangula

Lady_Fox [76]

Answer:

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3 years ago

Help me with this please?

aleksandrvk [35]

Answer:

$\sqrt{51}$ or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is $a^{2}+b^{2} = c^{2}$

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or $c$

Now we need to find $b$ in the formula of $a^{2}+b^{2} = c^{2}$ making the equation $b^{2} = c^{2} - a^{2}$ or $b = \sqrt{ c^{2} - a^{2}}$

Given the provided information, this would be $b^{2} = 10^{2} - 7^{2}$ or $b = \sqrt{ 10^{2} - 7^{2}}$

Simplifying it would be $b = \sqrt{ 100-49$ = $\sqrt{51}$

The radical form would be $\sqrt{51}$

While it's integer would be 7.14

Hope this helps!

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2 years ago

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irina1246 [14]

Answer:

Step-by-step explanation:

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4 years ago

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