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ioda
4 years ago
9

Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.

Mathematics
1 answer:
Vsevolod [243]4 years ago
4 0

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

                           y = 2x+1

so :5x+4 =2x+1

5x-2x=1-4

3x= -3      so : x= -1     but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2)  the system  is :     x + y = 4                                    

                                4x -y = 1

means :   y = - x+4    (line red)

               y= 4x-1     (line blue)  

graficly : intrsection is : (x,y) =(1 ,3 )

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Number 7 and 8 plz answer quickly
Flauer [41]

(7) m∠A = 52°

(8) m∠B = 117°

Solution:

(7) Let us first define the supplementary and complementary angles.

Supplementary angles: Two angles are said to be supplementary angles if their sum is add up to 180°

Complementary angles: Two angles are said to be complementary angles if their sum is add up to 90°

Given supplement of 142° = 180° – 142°

                                           = 38°

Complement of ∠A = Supplement of 142°

⇒ Complement of ∠A = 38°

Measure of ∠A = 90° – 38°

                          = 52°

Hence m∠A = 52°.

(8) Given complement of 27° = 90° – 27°

                                                 = 63°

Supplement of ∠B = Complement of 27°

⇒ Supplement of ∠B = 63°

Measure of ∠B = 180° – 63°

                          = 117°

Hence m∠B = 117°.

3 0
4 years ago
During the month of June, Ava kept track of the number of days she saw birds in her garden. She saw birds on 18 days of the mont
kirza4 [7]
There are 30 days in the month of June. Out of the 30 days, Ava saw birds on 18.

P(bird)=18/30

We can simplify the fraction by dividing both sides by 2.

P(bird)=18/30=9/15

9/15=0.6=60%

Theres a 9/15 or 60% chance that she will see a bird on July 1st.


3 0
3 years ago
Make q the subject of the formula 2(q+p)=1+5q
Semenov [28]

Answer:

Step-by-step explanation:

2q + 2p = 1 + 5q

-3q + 2p = 1

-3q = 1 - 2p

3q = 2p - 1

q = (2p -1)/3

3 0
4 years ago
Plz answer i'll give brainliest but it has to be right.
Alex17521 [72]
3 -3/4 and 2 pls brainlest
8 0
3 years ago
When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?​
iVinArrow [24]

Answer:

41 \:  \:  \: years \:  \:  \: old

Step-by-step explanation:

me \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: sis \\ 18 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 9 \\ 82 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x \\  \\ use \:  \: cross \: \\  multipaction \\ \\  18x = 82 \times 9 \\ 18x = 738 \\  \frac{18x}{18}  =  \frac{738}{18}  \\ x = 41

4 0
3 years ago
Read 2 more answers
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