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3 years ago

10

In the triangle, what is the smallest possible integer value for x?

2 answers:

-BARSIC- [3]3 years ago

7 0

Answer:
7

Explanation:
There is a theorem that states that: "In any triangle, the sum of any two sides MUST be greater that the third side."

This means that, in the given triangle:
x + 2x > 18
3x > 18
x > 18/3
x > 6

Since x should be greater than 6 for the dimensions to be valid, therefore, the smallest possible integer for x is the one directly after the 6 which is 7.

Hope this helps :)

aleksandr82 [10.1K]3 years ago

4 0

Answer:

b) 7

Step-by-step explanation:

Two legs of a triangle must be larger than the third leg so x + 2x > 18 therefore x > 6. So 7 is correct.

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According to the graph the system of linear equations has how many solutions

Maurinko [17]

Answer:

infinitely many

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3 years ago

3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

7 0

3 years ago

Pls click on the photo and answer both questions<br> Pls Answer ASAP :-)

Papessa [141]

Answer: Answer to be MAY be 18, I don't know. Just a guess.

Step-by-step explanation

8 0

3 years ago

Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000

nydimaria [60]

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

$\dfrac{x}{14}=\dfrac{1}{25000}$

$x=\dfrac{1}{25000}\times 14$

$x=0.00056$

Therefore, the two villages are 0.00056 km apart on map.

4 0

3 years ago

What is the slope of the line??

Semmy [17]

Answer:

sorry for being late :/

Step-by-step explanation:

slope , m = 1/3

3 0

3 years ago