In which quadrant is the point (4,- 2) located

The empty gas tank of a motor boat is to be filled. The tank is shaped like a rectangular prism with length 32cm, width 28cm, an

vodka [1.7K]

It takes 17 mins to full in the tank

3 0

4 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

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

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

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

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

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

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

6 0

3 years ago

Please Help!!!!!!!!!!!

vitfil [10]

Answer:

D

Step-by-step explanation:

AREA = B x W.

<em>8cm x 7cm = 56 cm^2</em>

3 0

3 years ago

Read 2 more answers

Please help me with this

postnew [5]

Answer:

(c) BC ≅ BC, reflexive property

Step-by-step explanation:

The conclusion of this proof derives from CPCTC and the SAS congruence postulate. In order for SAS to apply, corresponding sides and the angle between them must be shown to be congruent. The congruence statement ...

ΔABC ≅ ΔDCB

tells you these pairs of sides and angles are congruent:

AB ≅ DC . . . . statement 2
∠ABC ≅ ∠DCB . . . . statement 4
BC ≅ CB . . . . (missing statement 5)
AC ≅ DB . . . . statement 7

That is, the statement needed to complete the proof is a statement that segment BC is congruent to itself. That congruence is a result of the reflexive property of congruence.

4 0

2 years ago

Bakery can make 8 cheesecakes for every 1 block of cream cheese which table represents the relationship between the number of ch

Serjik [45]

Answer:

use a function table

for every 8 cheesecakes 1 block of cream cheese

so if theirs 16 cheesecakes itll take 2 blocks of cream cheese

8 0

3 years ago

In which quadrant is the point (4,- 2) located ​

In which quadrant is the point (4,- 2) located