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RSB [31]
2 years ago
5

 Does somebody knows how to do this?

Mathematics
2 answers:
slava [35]2 years ago
5 0

Answer:

12 cm²

Step-by-step explanation:

Area of rectangle= length ×breadth

Area of triangle= ½ ×base ×height

Area of shaded region

= area of rectangle -area of triangle

= 5(3) -½(2)(3)

= 15 -3

= 12cm²

Nady [450]2 years ago
4 0

Answer:

The answer is 6cm.

Step-by-step explanation:

3×2=6

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Simplify the polynomial expression given below.<br><br> (2x − 1)(2x2 + 5x + 3) + (3x + 6)
fenix001 [56]

Answer:

4x^{3}+8x^{2} +4x+3

Step-by-step explanation:

Hello

To simplify the polynomial we must eliminate the parentheses

by definition

ax^{n}*bx^{m} =abx^{n+m}

(2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3

I hope it helps

Have a great day

5 0
2 years ago
Read 2 more answers
Write the fraction in terms 45/75
NARA [144]
The Answer is 3/5
<span>
The gcd of 45 and 75 is 15, so 45/75 = (15×3)/(15×5) = 15/15×3/5 = 3/5:

Answer:  3/5</span>
4 0
2 years ago
How would I be able to show my work for this equation 3x + 1=10
aalyn [17]

Answer:

x=3

Step-by-step explanation:

3x+1=10

3x-1=-1

3x=9

÷3=÷3

x=3

3 0
3 years ago
Read 2 more answers
A total of 600 advertisements were sold for a certain magazine. If 30 percent of the first 200 sold were in color, 20 percent of
solong [7]

Answer:

%35 of them were in color

Step-by-step explanation:

Since 30 percent of the first 200 sold were in color, 200x30/100 = 60 of them were in color.

Since 20 percent of the next 300 sold were in color, 300x20/100 = 60 of them were in color.

Since 90 percent of the last 100 sold were in color, 100x90/100 = 90 of them were in color.

In total, 60 + 60 + 90 = 210 out of 600 were in color.

The percentage is:  \frac{600}{100} = \frac{210}{x} → x = \frac{21000}{600} = 35

6 0
3 years ago
Points A and B have coordinates (3,1,2) and (1,-5,4) respectively. Point C lies on line AB such that AC:BC=3:2. Find position ve
Sever21 [200]

Answer:

The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Step-by-step explanation:

* Lets revise how to solve the problem

- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and

 point (x , y , z) divides the segment externally at ratio m1 :m2, then

 x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}

* Lets solve the problem

∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)

∵ Point C lies on line AB such that AC : BC=3 : 2

∵ From the ratio AC = 3/2 AB

∴ C divides AB externally

- Lets use the rule above to find the coordinates of C

- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)

 and AC : AB is m1 : m2

∴ x1 = 3 , x2 = 1

∴ y1 = 1 , y2 = -5

∴ z1 = 2 , z2 = 4

∴ m1 = 3 , m2 = 2

- By using the rule above

∴ x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3

∴ y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17

∴ z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8

∴ The coordinates fo point c are (-3 , -17 , 8)

* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

3 0
3 years ago
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