MATHEMATICS HIGH SCHOOL

What is the value of the expression 9×4−(2×12)? Enter your answer in the box.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

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What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Answers

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

$Distance\ formula = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}$

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

$AB = \sqrt{(11-4)^(2)+(3-3)^(2)}$

$AB = \sqrt{(7)^(2)+(0)^(2)}$

$AB = √(49)$

$√(49) =7$

AB = 7 units

As take B(11, 3) to C (11, 9).

$BC = \sqrt{(11-11)^(2)+(9-3)^(2)}$

$BC = \sqrt{(0)^(2)+(6)^(2)}$

$BC = √(36)$

$√(36) =6$

BC = 6 units

As take C (11, 9) toD (4, 9).

$CD = \sqrt{(4-11)^(2)+(9- 9)^(2)}$

$CD = \sqrt{(7)^(2)+(0)^(2)}$

$CD = √(49)$

$√(49) =7$

CD = 7 units

As take D (4, 9) to A (4, 3)

$DA = \sqrt{(4-4)^(2)+(3-9)^(2)}$

$DA = \sqrt{(0)^(2)+(-6)^(2)}$

$DA = √(36)$

$√(36) =6$

DA = 6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value in the above

Area of rectangle = 7 × 6

= 42 units ²

Therefore the area of a rectangle is 42 units ².

This is rectangle ABCD, where coordinates of the vertices are: A ( ( 4, 3 ); B ( 11, 3 ); C ( 11, 9 ) and D ( 4, 9 ). The area of the rectangle is: A = L x W ( L - length and W - width ). Length = AB = 11 - 4 = 7. Width = BC = 9 - 3 = 6. Finally: A = 7 * 6 = 42. Answer: The area of a rectangle is 42. Hope this helps. Let me know if you need additional help!

There was 6/9 of a pie left over from dessert. Then, 3/9 of it got eaten. How much is left now?

Answers

6/9 – 3/9 = 3/9 = 1/3

There is 1/3 of the pie left.

f(x) = x³ - 3x² + 3x - 1f(x + 1) What is the value?

A) x³+1
B) x³-1
C) x³
D) x²
E) x²+1

Answers

$f(x+1)=(x+1)^3-3(x+1)^2+3(x+1)-1\n f(x+1)=x^3+3x^2+3x+1-3(x^2+2x+1)+3x+3-1\n f(x+1)=x^3+3x^2+6x+3-3x^2-6x-3\n f(x+1)=x^3 \Rightarrow C$

f(x)=(x-1)³ = x³ -3x² +3x -1
f(x+1) = (x+1-1)³ = x³

Y'all I'm crying...help

Answers

Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 - (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

Show your calculation below:In the diagram of AABC below, DE is parallel to AB, CD = 15,
AD = 9, and AB = 40.
The length of DE is
(1) 15
(2) 24
(3) 25
(4) 30
So your answer is
What is the relation between ACDE and ACAB?
What information in the question helps you get that
conclusion?

Answers

Answer:

DE=25

Angles CDE & CAB are equal since they are alternate angles.

Step-by-step explanation:

Triangle CDE is an reduction of triangle CAB.

Reduction Ratio= $(15)/(24)\nlength \ DE=(15)/(24)*40\n=40$

Angles CDE,CAB relationship- the two angles fall on opposite relative sides of two parallel lines are therefore equal.

What is the quotient?StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFractionNegative 9StartFraction 1 Over 9 EndFractionStartFraction 1 Over 9 EndFraction9

Answers

Answer:

the answer is 1/9 in decimal for 0.1

Step-by-step explanation:

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Need help ASAP! Sorry for the low-ish quality