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2 years ago

Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below.

Mathematics

1 answer:

zimovet [89]2 years ago

5 0

Answer:

Step 3

Step-by-step explanation:

Ernesto was doing well until he got to Step 3.

Its a little mistake but that chabges up the entire problem.

Let me explain-

In Step 2: 3(y+7)-2y is showing that you must distribute the 3 to the y and the 7 however Ernesto only did that for the y.

That would be the answer, hopw this helps.

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Is this correct? helppp

Marta_Voda [28]

Answer:

Yes its correct the unhighlighted is complement

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3 years ago

Read 2 more answers

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

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3 years ago

What is the slope of this line? y = -3/4 x + 7/8

Alexeev081 [22]

I am sorry I can help more but
Google can graph lines if that helps

You just look up graph of a line with your numbers

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4 years ago

From the top of a building, the angle of depression to a point 200 ft in front of the building is 72º. How high is the building?

GaryK [48]

Answer:

x ≈ 50.76

Step-by-step explanation:

Sin72º = $\frac{x}{200}$

200Sin72º

x ≈ 50.76

Hope this is helpful :')

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3 years ago

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kirill [66]

Answer:

N+60

Step-by-step explanation:

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