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ANEK [815]
3 years ago
6

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.

Mathematics
1 answer:
Lena [83]3 years ago
4 0

(x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9

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Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
eimsori [14]

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

8 0
3 years ago
A car bus travels at a speed of 45 km/h. How far will it travel in 36 minutes?​
tensa zangetsu [6.8K]

Correct Question:

A car/bus travels at a speed of 45 km/h. How far will it travel in 36 minutes?

(Note- Corrected part is written in bold.)

Solution:

\sf Speed = 45 \: km/h

\sf Time=36 \: mins

\sf   = \frac{36}{60} \:  hour \: (Since  \: we  \: know,1 \: hour \:  = 30 \: mins

\sf =  \frac{3}{5}  \: hour

\sf \: Distance = Speed \times Time

\sf =  \: 45 \times \frac{3}{5}  \: km

\sf   = \frac{45 \times 3}{5}  \: km

\sf \: Distance=27 \: km

  • Hence, a car/bus travels 27 km in 36 mins.
6 0
3 years ago
Read 2 more answers
If you put 25ml of concentrate in glass. How much water should be added
Maksim231197 [3]

Answer:

Step-by-step explanation:

12

3 0
4 years ago
Sketch the graph of 2y=f(3x-6) -2
enyata [817]

Um i think 2yyyy =f 3x-6

7 0
3 years ago
What is the value of x in the equation (x/5) - 1 = 5.2<br><br><br> I need the work btw
blondinia [14]

Answer:  31

Step-by-step explanation:

(x/5) - 1 = 5.2

x/5 = 6.2

x = 6.2 x 5

x = 31

8 0
3 years ago
Read 2 more answers
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