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Anna11 [10]
3 years ago
10

Find the midpoint of AB for: A(7,0)|and B(0,3)​

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3

Substitute the values into the formula.

(\frac {7+0}{2}, \frac{0+3}{2})

Solve the numerators first.

(\frac {7}{2}, \frac{3}{2})

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

(3.5, 1.5)

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What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

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

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0
4 years ago
Factor the polynomial 25p squared - 144
castortr0y [4]
(5p+12) (5p-12) i hope this helps
3 0
3 years ago
Read 2 more answers
Cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC
abruzzese [7]

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

7 0
3 years ago
A cube with side length 4 centimeters is 25% full of sand. What is the volume of sand
earnstyle [38]
First, find the volume of the whole cube
Volume of cube = 4 x 4 x 4 = 64 cm³

The volume of sand is 25% of the volume of cube so,
Volume of sand = 25/100 x 64 = 16 cm³
4 0
3 years ago
1) Which of the following does not show the Commutative Property of Addition ?
Luda [366]

Answer:

I think it would be c.ab=ba but im not 100% sure

Step-by-step explanation:

4 0
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