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3 years ago

IM BEGGING SOMEONE PLEASE HELP!!!!

Mathematics

1 answer:

PtichkaEL [24]3 years ago

6 0

Answer:

Option C. y ≤ x-2

y ≤ 50/9-(1/6)x-(1/18)x^2

Step-by-step explanation:

Please, see the attached files.

Thanks.

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The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 195 squa

JulijaS [17]

Answer:

Length=15 cm

Width=13 cm

Step-by-step explanation:

-Let x be the width dimension, the length will be (x-2)

-The area of a rectangle is given by the formula;

$A=lw$

#We substitute the length and width values and equate to the given area:

$A=lw\\195=x\times (x-2)\\\\195=x^2-2x$

#Rewrite as a quadratic and solve for x:

$195=x^2-2x\\\\x^2-2x-195=0\\\\\# Use \ the \ Quadratic\ formula \ to\ solve:\\\\x_1,x_2=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\therefore x_1,x_2=\frac{-(-2)\pm\sqrt{(-2)^2-4\times 1\times(-195)}}{2\times 1}\\\\\\x_1=15, x_2=-13$

Since dimensions are always positve, the x value is 15

x=15

x=13

Hence, the dimensions of the rectangle are length=15 cm and width=13 cm

8 0

3 years ago

If you stand on a ship in a calm sea, then your height x (in feet) above sea level is related to the farthest distance y (in mil

lys-0071 [83]

We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).

We want to know the height (x) that makes the distance (y) = 10 miles

So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)

5 0

3 years ago

If the orientation of two shapes is not the same, which transformation(s) should you use to show they are congruent? Why?

Aleksandr-060686 [28]

Answer:

The answer is below

Step-by-step explanation:

Transformation s the movement of a point from its initial location to a new location. If an object is transformed, the all its points are also transformed. Types of transformation are rotation, reflection, translation and dilation.

Two shapes are congruet if they have the same shape and size, two objects are congruent if they can be moved without changing their shape or size. Congruent transformations are transformation that create congruent objects. The three types are:

Translation: sliding an object either up, down, left or right.
Reflection: Flipping an object over a line
Rotation: turning an object about a point

4 0

3 years ago

Read 2 more answers

At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD= EFGH find EF

Pani-rosa [81]

Answer:

EF = 44 ft

Step-by-step explanation:

Given that ABCD is congruent to EFGH, it follows that their corresponding lengths and angles would be congruent to each other.

This means, for the sides:

AB = EF,

BC = FG,