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2 years ago

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can be determined as Between every pair of distinct points, there is a positive unique number called the the of the correspondin

g real numbers of the two points.

1 answer:

vlabodo [156]2 years ago

3 0

This question is an illustration of the distance postulate.

The complete text is: <em>Between every pair of distinct points, there is a positive unique number called the </em><em>distance</em>

<em />

<em />

Take for instance, two distinct points A and B.

The number that measures the length of A and B is called the distance between A and B.

Assume that:

<em>A is at point 1</em>
<em>B is at point 6.</em>

<em />

The positive number (i.e. the distance) between A and B would be:

$d =B - A$

$d =6 - 1$

$d =5$

<em>Hence, the positive unique number is called the distance (and this is supported by the distance postulate).</em>

<em />

<em />

Read more about distance postulate at:

brainly.com/question/16765541

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MAVERICK [17]

Answer:

y=-x-2

Step-by-step explanation:

To find the slope of the line, you can use the slope formula. I did this with (-3,1) and (2,-4) to get: (1+4)/(-3-2). This ends up as -5/5, which simplifies to -1.

next I plugged in the slope and one point into the line equation: y=mx+b. I plugged in (-4)=(-1)(2)+b. This equated to b=-2.

Check Work:

The equation -4=(-1)(2)-2 is true

The equation 1=(-1)(-3)-2 is true

5 0

3 years ago

Convert the equation from Standard Form to Slope Intercept Form. Show all of your work using inverse operations. 8x + 4y = 16, s

andreev551 [17]

Basiclaly solve for y
8x+4y=16
minus 8x both sides
4y=-8x+16
divide by 4 both sides
y=-2x+4

6 0

3 years ago

I need help with number 10 please I’m so confused on how to do it!

Solnce55 [7]

Given:

A figure.

$m \angle C D A=9 x+3$ and $m \angle E D A=6 x+5$

To find:

What kind of figure and the value of x

Solution:

All four sides are congruent.

Diagonals bisect each other.

There the given figure is rhombus.

Diagonals bisect the angles.

⇒ $m \angle C D A=m \angle E D A$

$9 x+3=6x+5$

Subtract 3 on both sides.

$9 x+3-3=6x+5-3$

$9 x=6x+2$

Subtract 6x from both sides.

$9 x-6x=6x+2-6x$

$3x=2$

Divide by 3 on both sides.

$\frac{3x}{3} =\frac{2}{3}$

$x=\frac{2}{3}$

The value of x is $\frac{2}{3}$ .

5 0

3 years ago

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

2 years ago

Lannie ordered 12 copies of the same book for his book club members. The book cost $19 each and the order has a$15 shipping char

ad-work [718]

$(12*19)+15=228+15=243$

The total cost is $243.

4 0

2 years ago

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