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Tomtit [17]
3 years ago
15

PLEASE HELP ASAP!! What are the solutions of the system?

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

D. (-1, 0) and (0, -6)

Step-by-step explanation:

The system of equations:

y = -6x - 6

y = x² - 5x - 6

We equate the two equations;

-6x - 6 = x² - 5x - 6

x² + x + 0 = 0

x² + x = 0

x(x + 1) = 0

So, x = 0 or -1

When x = 0,

Then y = -6(0) - 6 = -6

When x = -1,

Then y = -6(-1) - 6 = 6 - 6 = 0

So the answer is: (0, -6) and (-1, 0)

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Find the length of side a.
kow [346]

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
Read 2 more answers
Asya has 50 brooms. Alisa has 10 more brooms than Asya. What was the ratio of the number brooms Asya has to the number of brooms
OleMash [197]

5 : 6

Alisa has 50 + 10 = 60 brooms

ratio of brooms = 50 : 60 = 5 : 6 → in simplest form


4 0
3 years ago
Read 2 more answers
Simplify the equation: <img src="https://tex.z-dn.net/?f=3%5Csqrt%5B3%5D%7B3%7D" id="TexFormula1" title="3\sqrt[3]{3}" alt="3\sq
Bond [772]

To simplify \frac{3}{\sqrt[3]{3} }, we have to follow the rules.

Here are the steps to the question:

Step 1: Follow the radical rule.

\sqrt[n]{a} = a \frac{1}{n}

So, we get \frac{3}{3\frac{1}{3} }.

Next, follow the exponent rule.

\frac{x^{a} }{x^{b} } = x^{a-b}

We get 3^{1} - \frac{1}{3}.

The answer is \frac{3}{\sqrt[3]{3} }.

4 0
3 years ago
Pls quickly help:
Veronika [31]
Yes she is correct just do the proper calculations
5 0
3 years ago
The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross
Masja [62]

Answer:

22%

Step-by-step explanation:

A percent of something can be thought of as part of that thing divided by the total amount of the same thing and multiplied by 100%.

In this case, the part of the thing is part of a paycheck. The total thing is the total paycheck.

Percent=\frac{Part}{Total} *100%%

Percent=\frac{83.20}{378.18} *100=0.2200*100=22.000%

4 0
2 years ago
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