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3 years ago

A consistent system of equations is a system with __________.

Mathematics

2 answers:

vova2212 [387]3 years ago

4 0

the answer is d. my shlime

kari74 [83]3 years ago

3 0

The answer is D: intersecting lines and lines that have the same equation

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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

2 Which expression is equivalent to 64-*?

Rasek [7]

Answer:

Step-by-step explanation:

(8-x)(8+x)

8×8=64

-x·+x=-x^2

64-x^2

3 0

3 years ago

Solve the following system of equations express your answer as an ordered pair in the format of (a,b) with no spaces between the

Alekssandra [29.7K]

Once we find what x and y is, that's where they intercept and we can write that as an ordered pair as (x,y) Now we need to find what y is. So let's put x into the original first equation 3x+4y=16 3(4)+4y=16 12+4y=16 ---Subtract 12 from both sides 4y=4 ---Divide both sides by 4 y=1 Alright, so our ordered pair is (4,1)

5 0

3 years ago

Which statement best describes the excluded values of a rational expression?

denis23 [38]

the answer is b because

3 0

3 years ago

Read 2 more answers

Felix was asked whether the following equation is an identity:<br> (x^2-1)^2=(x^2-1)+(2x)^2

Rudiy27

Answer:

The answer is no

Step-by-step explanation:

The equation is not an identity

7 0

3 years ago