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liberstina [14]
2 years ago
6

Can somebody please help me i need this urgently.

Mathematics
1 answer:
sukhopar [10]2 years ago
6 0

Answer:

multiple choice is worth 2

short response is worth 4

Step-by-step explanation:

23x + 10y = 86

28x + 5y = 76

solve by elimination

multiply the top by -1 and the bottom by 2

-23x + -10y = -86

56x + 10y = 152

add them

33x = 66

x = 2

with x = 2 plug x into one of the equations

23x + 10y = 86

23(2) + 10y = 86

46 + 10y = 86

10y = 40

y = 4

x = 2 and y = 4 so

multiple choice is worth 2

short response is worth 4

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What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
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The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8
4 0
3 years ago
How many and what type of solutions does the equation have?
Natali [406]
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0

As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81

Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2

So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2

A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.

3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.

So 2k^2 = 9 + 3k have two rational solutions (Option B).

Hope this Helps! :)
7 0
3 years ago
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Answer:

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Step-by-step explanation:

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URGENT!! ILL GIVE
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If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h .

In the question ,

a figure is given ,

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angle a = angle d   .......because vertically opposite angles .

angle a = angle e   ...because corresponding angles are equal in measure

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