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3 years ago

Which point is a solution of x + 2y ≤ 4?

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Put the coordinates of the given points to the inequality, and check:

x + 2y ≤ 4

A. (2, 4)

2 + 2(4) ≤ 4

2 + 8 ≤ 4

10 ≤ 4 FALSE

B. (1, 1)

1 + 2(1) ≤ 4

1 + 2 ≤ 4

3 ≤ 4 TRUE

C. (3, 5)

3 + 2(5) ≤ 4

3 + 10 ≤ 4

13 ≤ 4 FALSE

D. (-1, 5)

-1 + 2(5) ≤ 4

-1 + 10 ≤ 4

9 ≤ 4 FALSE

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Multiply (6 z2 - 4 z + 1)(8 - 3 z ).

insens350 [35]

It would be d Answer if you simplified it

5 0

3 years ago

Read 2 more answers

Mole Conversion: What is the mass of 3.13 x 1023 molecules of carbon dioxide?

4vir4ik [10]

Answer:

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

$moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}$

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

$mass=\frac{0.52 moles*44 g}{1 mole}$

mass= 22.88 g

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

8 0

3 years ago

Which of the following equations represents the linear relationship shown in the table below?

Sphinxa [80]

Answer:

Step-by-step explanation:

The equation is:

y = 2x + 3

Put x as 2.

y = 2(2) + 3

y = 4 + 3

y = 7

Put x as 3.

y = 2(3) + 3

y = 6 + 3

y = 9

Put x as 4.

y = 2(4) + 3

y = 8 + 3

y = 11

Put x as 5.

y = 2(5) + 3

y = 10 + 3

y = 13

6 0

3 years ago

. Complete the missing steps in the paragraph proof of Theorem 3-8.

Crank

To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t

Required:

Prove that line m and n are parallel lines

Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above,

∠ 2 and ∠ 6 are right angles by definition of perpendicular lines. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since corresponding angles are congruent.

Therefore, line m and line n are parallel lines.

ANSWERS: perpendicular lines, corresponding

8 0

3 years ago

Substitution Method 3x - y = 22 y = 2

zubka84 [21]

Not sure man but keep yo head up dude

6 0

3 years ago