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3 years ago

Direction: True or False

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

Both are true.

Postulates are used to prove theorem and two points are the things that make a line unique.

Reika [66]3 years ago

3 0

Answer:

True Postulates are used to prove theorems.

True Two points determine a line

Step-by-step explanation:

A postulate, in mathematics, is a numerical property that cannot be directly proven, but it is still present, and no has exceptions. Postulates are often used to prove theorems, particularly in geometry. An example of this can be found in the midsegment theorem which states that the average of the two bases in a trapezoid gives the length of the midsegment. Depending on how one chooses to prove this, one could potenitally need the Parts-whole Postulate theorem. Thus, one can state that Postulates are used to prove theorems.

A line can be drawn to connect any two given points. Therefore, one can states that two points determine a line, as only two points are needed for one to draw a line between them.

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Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. x - y

Marizza181 [45]

The graph that represents the given line with slope and y-intercept is as attached below.

<h3>How to interpret Linear Graphs?</h3>

We are given the equation;

x - y - 3 = 0

Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c

where;

m is slope

c is y-intercept

Thus, our equation can be rearranged to get;

y = x - 3

Thus, y-intercept is c = -3

The graph that represents the given line is as attached below.

Read more about Linear Graphs at; brainly.com/question/14323743

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3 0

2 years ago

Select the possible dimensions of a rectangular prism with volume of 72 cubic meters . HInt: V = B x h (Area of base times the h

nordsb [41]

Answer:

Step-by-step explanation:

3x4 is 12 and 12x6 is 72

7 0

3 years ago

(2x-6) times (3x^2-4x-5)

Nikolay [14]

For this case we must multiply the following expression:

$(2x-6) (3x ^ 2-4x-5)$

Applying distributive property we have:

$(2x) (3x ^ 2) - (2x) (4x) - (2x) (5) - (6) (3x ^ 2) + (6) (4x) + (6) (5) =$

By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:

$6x ^ 3-8x ^ 2-10x-18x ^ 2 + 24x + 30 =$

Adding similar terms:

$6x ^ 3-26x ^ 2 + 14x + 30$

Answer:

$6x ^ 3-26x ^ 2 + 14x + 30$

5 0

3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

A company charges a customer$50 to bring an excavator to thier home in addition to $45 per hour for the service A customer has b

ArbitrLikvidat [17]

Answer:

the answer is 5 hours or less which is 5 and the < sign with line under which means they have equal to and less than that so the most hours they can do is 5

Step-by-step explanation:

you have 275

you subtract 50 from 275

275-50=225

divide 225 by 45

225/45=5

8 0

2 years ago