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dalvyx [7]
3 years ago
13

State if the point (-3, -2) is a solution to the system of equations below.

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

B) Since (-3,-2) does not satisfy both equations, it is not a solution to the

system.

Step-by-step explanation:

The given system of equations is:

{x}^{2}  +  {y}^{2}   + x - 10y - 3 = 0

x + y =  - 4

If (-3,-2) is a solution, then it must satisfy both equations:

Let us substitute into the first equation to get:

{( - 3)}^{2}  +  {( - 2)}^{2}   + ( - 3) - 10( - 2) - 3 = 0

Evaluate the exponents;

9 +  4   - 3  + 20- 3 = 0

27 = 0

This is not true

Also when we substitute into the scond equation, we get;

- 3 +  - 2 =  - 4 \\  - 5 =  - 4

This is also false.

Therefore the point is not a solution.

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Is 7/8 or 11/10 closer to 1? How did you decide anybody help please?
erik [133]

Let

A-----> \frac{7}{8}

B-----> \frac{11}{10}

C-----> 1

we know that

Point A-------> Multiply numerator and denominator by 10

\frac{7*10}{8*10} =\frac{70}{80}

Point B-------> Multiply numerator and denominator by 8

\frac{11*8}{10*8} =\frac{88}{80}

Point C-------> Multiply numerator and denominator by 80

\frac{1*80}{1*80} =\frac{80}{80}

Find the distance Point A to Point C

\frac{80}{80} -\frac{70}{80} =\frac{10}{80}

Find the distance Point B to Point C

\frac{88}{80} -\frac{80}{80} =\frac{8}{80}

therefore

\frac{8}{80} < \frac{10}{80}

Point B is closer to Point C

\frac{11}{10} is closer to 1

the answer is

\frac{11}{10} is closer to 1

5 0
3 years ago
Read 2 more answers
Write the expression as a square of a monomial. <br><br><br><br><br><br><br><br><br><br> a 81x^4
poizon [28]

Answer:

(9x²)²

Step-by-step explanation:

Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.

y = 81x⁴

Then we take the square root of both sides of the expression

√y = √81x⁴

y^½ = √81 × √x⁴

y^½ = 9x²

Squaring both sides of the resulting equation to get y back

(y^½)² = (9x²)²

y = (9x²)²

The expression as a square of a monomial is (9x²)²

7 0
3 years ago
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Pls help, (20 pts, will mark u the brainliest when your correct, PLS ANSWER ASAP)
tester [92]

Answer:

-7

Step-by-step explanation:

7.

step-by-step explanation:

the coefficient multiplies the variable.

it is -7.

4 0
3 years ago
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Complete the rational operation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%20-%205%7D%20%20-%20%20%5Cfrac%7Bx%7
prisoha [69]
We have
                             3 / (x-5) - x/5
We make the GCF and we have
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6 0
3 years ago
How can i draw this?
mylen [45]
The green arrow thing is a ray. So, question b. is a ray. So the dot would be B and the arrow would be C. 

3 0
3 years ago
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