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sasho [114]
3 years ago
15

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

6x + 3y = 12

4x + y = 14

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

6x + 3y = 12 becomes

6 * 5 + 3 * -6 = 12

30-18 = 12

12 = 12

4x + y = 14 becomes

4 * 5 - 6 = 14

20 - 6 = 14

14 = 14

Because both solutions are true, then (5,-6) is a solution

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TEA [102]

Answer:

quadratic

y=mx+c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
0 = -1/14 x^2 + 4x +5<br><br> I need to solve for x but I don't get it, PLEASE EXPLAIN AND HELP!!
MariettaO [177]
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5)      [now distribute]

0=x²-56x+70      [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=<u>-b+/-√(b²-4ac)</u>
            2a
a=1, b=(-56), c=70

x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
                  2(1)
x= <u>56+/- √(3136-280)
</u>               2
<u />x=<u>56+/-√(2856)</u>
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x=<u>56+/-√(2³·3·119)</u>
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5 0
3 years ago
Use the figure from the example to find the length GH. Assume △DEF ≅ △GHJ.
grandymaker [24]
The two triangles are congruent, so corresponding parts of the two triangles are congruent.
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8 0
3 years ago
Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the sec
Verizon [17]

Answer:

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Step-by-step explanation:

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Either formula works, but I'm going to choose to work with the first formula.

Therefore:

P(Spade) = \frac{13}{52}

P(Red/Spade) =  \frac{26}{52-1}

So:

P(Spade∩Red) = \frac{13}{52}*\frac{26}{51}= \frac{13}{102} =  0.123

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3 years ago
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It’s 7.406 , that’s the correct answer
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