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3 years ago

The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?

Mathematics

2 answers:

nata0808 [166]3 years ago

5 0

Answer:

(1,1)

Step-by-step explanation:

we have

$y=-2x+3$ ----> equation A

$y=x$ ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

<u><em>Verify</em></u>

Substitute the value of x=1 and y=1 in each equation and analyze the result

<em>Equation A</em>

$1=-2(1)+3$

$1=1$ ---> is true

The ordered pair satisfy the equation A

<em>Equation B</em>

$1=1$ ---> is true

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

Vlad1618 [11]3 years ago

4 0

(1,1) is the answer.!

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

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3 years ago

Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co

UNO [17]

Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

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Then the statement "If a figure is a cube, then it has eight vertices" can be written as

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Converse ( $q\Rightarrow p$ ): If a figure has eight vertices, then it is a cube.

Inverse ( $\neg p\Rightarrow \neg q$ ): If a figure is not a cube, then it has not eight vertices.

Contrapositive ( $\neg q\Rightarrow \neg p$ ): If a figure has not eight vertices, then it is not a cube.

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Read 2 more answers

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Tanzania [10]

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<h3>What is Z-score?</h3>

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At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

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2 years ago

49 7th graders and 35 8th graders show up at football tryouts choose a ratio that represents 7th to 8th graders at tryouts?

Alja [10]

Answer:

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