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Talja [164]
3 years ago
13

Is the ordered pair (1, 2) a solution to this system

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

To determine is an ordered pair is a solution to the system of equations, substitute its coordinates into each of the equations.

An ordered pair is written in the form (x, y), so x=1 and y=2.

y = -2x +4

2 = -2(1) + 4      <=simplify this by multiplying (-2)(1)

2 = -2 + 4        <= add

2 = 2         <= same answers

LS = RS

7x - 2y = 3

7(1) - 2(2) = 3     <=simplify this but multiplying 7(1) and 2(2)

7 - 4 = 3           <= subtract

3 = 3          <= same answers

LS = RS

Since (1, 2) satisfies both of the equations, it is a soltuion to the system of equations.

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Line K has the equation 9x-4y=-5x4.
Yuki888 [10]

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written.  I'm not sure the 4 belongs, but I'll assume it is written correctly.  I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20.  I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form:  Y = mx + b, where m is the slope and b is the y-intercept (the value of y when  x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4).  The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7  = 9 + b

b = 2

The equation of a line parallel to the reference line is y = (9/4)x + 2

5 0
3 years ago
Please help me do this one complicated and confused
IrinaK [193]

Answer:

9

Step-by-step explanation:

Area of a triangle=(base*height)/2

1) Input the values

54=(12h)/2

2) Multiply both sides by 2

54*2=(12h/2)2

108=12h

3) Divide both sides by 12

108/12=12h/12

9=h

I hope this helps! Please comment if you have any questions.

3 0
4 years ago
Read 2 more answers
Applications of integers (PLEASE HELP)
Amiraneli [1.4K]

Answer:

I can try to answer.

Step-by-step explanation:

1. 23

2. 25

3. week 4 is 29, and week 3 is 23

29-23=6

4. week 5 and 7 because on week 4 it was 29, it dropped to 25 on week 5. On week 6 it was 37, then dropped to 34 on week 7.

Im not rlly sure about 5, but ill answer it if I figure it out.

5 0
2 years ago
2 3/8 x 3 3/7 = ?<br><br> Please help me! I hate fractions and don't understand!!!!!!!
Katen [24]
The answer is 69/7...       
5 0
3 years ago
Classify the triangle with 9, 15, 19 as an acute right obtuse or not a triangle
Novosadov [1.4K]

Answer:

Hence the correct option is the last one . The triangle is an obtuse angled triangle.

Step-by-step explanation:

i) the sum of any two sides added together is greater than the third side hence this is a triangle.

ii) it is<em><u> not</u></em> a right angled triangle as \sqrt{9^{2} + 15^{2} } \neq  19 and \sqrt{9^{2} + 15^{2} } <  19

iii) the triangle is not acute from ii) above

iv) the triangle is an obtuse triangle from ii) above.

8 0
3 years ago
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