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3 years ago

Which table below represents a relationship that is NOT a function?

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

7 0

T... Because in functions the x's CAN'T repeat but in table T the number 3 in the x column repeats 2 times

Arturiano [62]3 years ago

4 0

Table T is not a function. This is because of the repeated '3' and '4' in the x value's.

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

Help me please Love you, thanks!!!

balu736 [363]

Answer:

Neither for 1

the second option for 2

Step-by-step explanation:

not sure how to explain this

8 0

3 years ago

Read 2 more answers

A sea bird is 28 meters above the surface of the ocean.What is its elevation?

Citrus2011 [14]

Answer:

91.8 ft above sea level

Step-by-step explanation:

Note that 1 meter is approx. 3.28 feet.

Converting 28 meters to feet is accomplished by multiplying 28 m by the conversion factor 3.28 ft / 1 m:

28 m 3.28 ft

-------- * ----------- = 91.8 ft above sea level

1 1 m

4 0

3 years ago

1. Solve: 6x - 12 < 6 2. Solve: 2(3x-8) >8

8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6 equation

step 2

6x - 12 < 6 simplify

6x-12+12<6+12

step 3

6x<18 Divide both sides

$\frac{6x}{6}$

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8 equation

step 2

2(3x-8) >8 simplify

6x-16+16>8+16

step 3

6x>24 divide both sides

$\frac{6x}{6} >\frac{24}{6}$

answer

x>4

4 0

3 years ago

Whats 4(d+2)-2d=3(2+d)

Dmitry [639]

Simplify:

$4(d + 2) - 2d = 3(2 + d)\\4d + 8 - 2d = 6 + 3d\\d + 8 - 2d = 6\\-d + 8 = 6\\-d = -2\\d = 2$

d is equal to 2.

6 0

3 years ago