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3 years ago

Suppose y varies directly with X, and Y =22 when x = 8 what is the value of y when x= 10

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

8 0

Use K=y/x

K=22/x

K=22/8

then simplify

K=11/4

mars1129 [50]3 years ago

7 0

27.5

22= K(8)

Divide 8 on both sides to get your K value

2.75 = K

Plug your K value into the other equation

Y= 2.75(10)

Solve to get Y

Y= 27.5 When the problem asks "vary directly", it is saying that you are multiplying your K value with your X value(K*X). If the problem is asks "vary indirectly", it is saying that you are dividing your K value by your X value (K/X)

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A polynomlal has been factored, as SHOWI Deluw.

Tom [10]

Answer:

The zeros are 6,-5,9

Step-by-step explanation:

The factored form of the polynomial is given as:

$f(x) = (x - 6)(x + 5)(x - 9)$

To find the zeros of this function, we set f(x)=0 and solve for x.

$(x - 6)(x + 5)(x - 9) = 0$

This implies that:

$(x - 6) = 0 \: or \: (x + 5) = 0 \: or \: (x - 9) = 0$

We solve for x to get:

$x = 6 \: or \: x = - 5 \: or \: x = 9$

The zeros are 6,-5,9

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3 years ago

a rectangular prism has a volume of 1374.28 cubic inches.The prism is 9.4 inches wide and 17.2 inches long.What is the height of

NISA [10]

The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
$V=lwh$
Where l is the length, w is the width, and h is the height.

The height can be found by rearranging the equation to:
$h= \frac{V}{wl}$

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.

6 0

3 years ago

Find the value of x.<br> 50

Mariana [72]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

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Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

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3 years ago

The given information were that Robi has run the first 4 miles of a race in 30 minutes and she reached the 6 mile point after 45

strojnjashka [21]

Answer:

Positive

Step-by-step explanation:

Slope: (6-4)/(45-30)

= 2/15

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3 years ago