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3 years ago

What is the ordered pair solution for this system of equation X+y=8 Y=x-3

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

Answer:

(5.5, 2.5)

Step-by-step explanation:

Plug in X and Y and guess is how I did it

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Video games are on sale for 25% off. If a particular game regularly sells for $59.50, what is the sale price? a. $34.83 b. $14.8

iragen [17]

I think the answer would be D. $44.62

8 0

3 years ago

Hosting a breakfast brunch for 25 people, you plan to serve scrambled eggs. The grocery store sells eggs in cartons, and each ca

ratelena [41]

You need 7 cartons, 4•7=28 so you’ll be sure to have enough:)

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3 years ago

Read 2 more answers

in ABC the measure of angle A is 2x+3 the measure of angle B is 4x+2 the measure of angle C is 2x-1 what are the measures of the

Virty [35]

IN A triangle, sum of all angles = 180 degrees

2x + 3 + 4x+2 + 2x -1 = 180

8x +4 = 180

8x = 176

x = 176 /8 = 22 degrees

the angles are A = 2(22)+3 = 44+3 = 47 DEGREES

B = 4(22)+2 = 88 + 2 = 90 DEGREES

C = 2(22) -1 44-1 = 43 DEGREES

7 0

3 years ago

Read 2 more answers

Two ants, red ant and black ant, creeping along lines in 3-space. At time t, red ant is at point on the line

mylen [45]

A. The distance between the red ant and the black ant is five units.

To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t

To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t

To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5

b. There will be no collision between the two ants.

To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2

If t = 2,
2 + 2*2 = 2 + 3*2

4 0

3 years ago