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2 years ago

What is the area of the shaded area

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

8 0

Answer:

422.16

Step-by-step explanation:

Area of circle

A=π²

(3.14)×(12²)

(12²)=144

(3.14)×(144)=452.16

Area of rectangle

10×3=30

452.16-30=422.16

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Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide -

Leya [2.2K]

Answer:

2kx+4y=20 ⇒ kx+2y=10

3x+6y=30 ⇒ x+2y= 10

k is the coefficient of x, so it is the slope of the line

when k=1, both equations will be same, then there are many solutions
when k=0 there is one solution
when k is anything different, then the lines will be parallel, so no solutions

6 0

2 years ago

Pls answer correctly c:

Oxana [17]

Don’t click the linkkk it’s a scam stay safe

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2 years ago

Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)

Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

$d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}$

$d=\sqrt{(3)^{2}+(9)^{2}}$

$d_D_E=\sqrt{90}\ units$

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

$d=\sqrt{(5+3)^{2}+(-2+1)^{2}}$

$d=\sqrt{(8)^{2}+(-1)^{2}}$

$d_E_F=\sqrt{65}\ units$

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

$d=\sqrt{(5+6)^{2}+(-2-8)^{2}}$

$d=\sqrt{(11)^{2}+(-10)^{2}}$

$d_D_F=\sqrt{221}\ units$

step 4

Classify the triangle by the measure of its sides

we have

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0

3 years ago

Isabella solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Distributive Prop

AnnZ [28]

Answer:

step 3 has incorrect justification.

Step-by-step explanation:

because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.

7 0

2 years ago

Read 2 more answers

F(x)=(x - 4)^2-1 what is x ?

AysviL [449]

Answer:

(x−3)(x−5)

Step-by-step explanation:

Hope this helped

3 0

2 years ago