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3 years ago

Which inequality is represented by this graph?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer with Step-by-step explanation:

As we can clearly see the point (0,0) lies in the shaded region so,it must satisfy the inequality

Putting (0,0) in 3x+2>y+6

⇒ 2>6 which is a contradiction

So, graph is not of this inequality

Putting (0,0) in 2x-2<y-11

⇒ -2<-11 which is a contradiction

So, graph is not of this inequality

The point (0,2) lies in the shaded region so,it must satisfy the inequality

Putting (0,2) in 2y+3<6-x

⇒ 2×2+3<6

⇒ 7<6 which is a contradiction

So, graph is not of this inequality

Hence, the correct option is:

2x+3>y-6

svetlana [45]3 years ago

5 0

Answer:

d definetly d

Step-by-step explanation:

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the question is in the picture below, if you could show all your work so i can see how to do it, that would be appreciated.

ki77a [65]

m∠R = 27.03°

Solution:

Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km

To find the measure of angle R:

Law of cosine formula for ΔQRP:

$r^{2}=p^{2}+q^{2}-2 pq \cos R$

Substitute the given values in the above formula.

$(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R$

$225=784+289-952 \cos R$

$225=1073-952 \cos R$

Switch the given equation.

$1073-952 \cos R=225$

Subtract 1073 from both side of the equation.

$-952 \cos R=-848$

Divide by –952 on both sides.

$$ \cos R=\frac{106}{119}$

$$ R=\cos^{-1} \left(\frac{106}{119}\right)$

$R=27.03^\circ$

Hence m∠R = 27.03°.

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4 years ago

What is the solution to the inequality?<br> −6x+5>−1

Bogdan [553]

Answer:

$\boxed{x$

Step-by-step explanation:

$-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x$

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3 years ago

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SCORPION-xisa [38]

Answer: yes

Step-by-step explanation:

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2 years ago

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NISA [10]

Step-by-step explanation:

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3 years ago

HELP PLS I FORGOT LOL TYSM!

Valentin [98]

Answer:

A. The coefficients of the sum are whole numbers and the sum is a polynomial.

Step-by-step explanation:

The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:

1) $5\cdot m -3$ , $2\cdot m + 4$ Given

2) $(5\cdot m -3)+(2\cdot m +4)$ Definition of addition

3) $(5\cdot m +2\cdot m ) +[(-3)+4]$ Definition of substraction/Associative and Commutative properties

4) $(5+2)\cdot m +1$ Distributive property/Definition of substraction

5) $7\cdot m +1$ Definition of addition/Result

Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.

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3 years ago