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3 years ago

Which point could be removed in order to make the relation a function?

Mathematics

1 answer:

timama [110]3 years ago

4 0

(-1,8) or (3,8)
You cannot have to points with the same x-value in a function.

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Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of

PilotLPTM [1.2K]

Answer:

The correct length is 34 feet.

Step-by-step explanation:

Let us assume that the wall created is a rectangle ABCD as shown in the attached image.

We know that opposite sides of a rectangle are equal.

Perimeter of a closed figure is calculated by adding all the sides of the figure.

Here, from the figure, the perimeter is : AB + BC + CD + DA

AB and CD are equal to length.

BC and DA are equal to width.

So,

$Perimeter = 2 \times (length + width) ....... (1)$

Here, we are given that perimeter is 100 feet and width = 16 feet

Putting values in equation (1):

$100 = 2 \times (16 + length)\\\Rightarrow 50 = 16 + length \\\Rightarrow length = 34 feet$

Hence, length is 34 feet.

5 0

4 years ago

suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, h

slega [8]

We are 114.28 m from the base of the plateau .

Step-by-step explanation:

Here we have , suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, WE need to find that how far are you from the base of the plateau . If we see in question , it's clearly a question from application of trigonometry :

We have ,

$Perpendicular = 80 m$

$Base = x$

$Angle = 35 = \alpha$ ( between base & hypotenuse )

It's a right angled triangle , So

$tan\alpha = \frac{Perpendicular}{base}$

⇒ $tan\alpha = \frac{Perpendicular}{base}$

⇒ $tan35 = \frac{80}{x}$

⇒ $x = \frac{80}{tan35}$

$tan35 = 0.7$

⇒ $x = \frac{80}{0.7}$

⇒ $x = 114.28m$

Therefore, We are 114.28 m from the base of the plateau .

3 0

3 years ago

Rotate RST 90° counterclockwise around the origin.

Nostrana [21]

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

<h3>
How to rotate the triangle?</h3>

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

Read more about rotation at:

brainly.com/question/4289712

#SPJ1

4 0

3 years ago

Two triangles with the same corresponding side lengths will be congruent.

Naddik [55]

Corresponding sides are sides found in two object that are located on the same location. 149. Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. Thus, two triangles having the same corresponding side lengths would be considered as congruent shapes. The answer would be true.

7 0

4 years ago

Read 2 more answers

If k-9=5(k-3)find k

jok3333 [9.3K]

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

7 0

4 years ago

Read 2 more answers