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3 years ago

Show that the points A (-3, 2), B (-6, 4) and C (1, 8) are vertices of a right triangle.

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

For the triangle to be a right triangle there must be a pair adjacent sides which are at right angles to each other - that is whose slope product = -1.

Slope of AB = (4-2)/(-6- -3) = -2/3.

Slope of BC = (8-4)/ (1 - - 6) = 2/7

Slope of AC = (8-2) / (1 - -3) = 6/4 = 3/2.

Now 3/2 * -2/3 = -1 so sides AB and AC are at right angles and the 3 points are the vertices of a right triangle.

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Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression

faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

7 0

3 years ago

A daycare charges $115 per week for one child. Each additional child costs $65 for the week. If a family pays $505 for a week, h

valentinak56 [21]

Answer:

7 children

Step-by-step explanation:

$505-$115= $390

$390÷$65= 6

6+1= 7

4 0

3 years ago

What is this answer. The circumference (c) of a circle can be defined as C=2pi r,where r is the radius of the circle. The circum

elena-s [515]

Answer:

Circunferencie can be writen also as a fuction of the diameter of the circle

C = pi*D

Where

D = circunferene diameter

Step-by-step explanation:

C = 2.pi.R = 2.R.pi

In a circle 2.R = D

So,

C = pi.D

5 0

3 years ago

Determine which one of this is a function

luda_lava [24]

Answer:

Option 2?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please answer this question now

Maurinko [17]

Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

7 0

3 years ago