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3 years ago

Is it possible to draw a triangle whose sides are as follows? 6 cm, 7 cm, 17 cm. Give reasons to support your answer.

Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

Answer:

Step-by-step explanation:

The sum of two random sides of a triangle must be bigger than the third side and their differences must be smaller than the third side

For example

3 - 4 - 5 can be made into a triangle because 3 + 4 > 5 and 4 - 3 < 5

You might be interested in

what is the equation of a line parallel to the line 2x-3y=6 and that passes through the point (-6,12)

Brrunno [24]

Hello from MrBillDoesMath!

Answer:

y = (2/3)x + 16

Discussion:

Given line:

2x - 3y = 6 => add 3y to both sides

2x = 6 + 3y => subtract 6 from both sides

2x -6 = 3y => divide both sides by 3

y =(2/3)x - 2

The slope of this line, m, (2/3) and any line parallel to the given line has the same slope. We are looking for the line with slope (2/3) passing through (-6, 12)

y = (2/3)x + b => substitute (x,y) = (-6, 12) in the equation

12 = (2/3)(-6) + b => add (2/3)(6) = 12/3 = 4

12 + 4 = (2/3)(-6) + (2/3)(6) + b => as (2/3)(-6) + (2/3)(6) = 0

12 +4 = 0 + b =>

b = 16

Hence the equation of the parallel line through ( -6,12) is

y = mx + b

=(2/3)x + 16

Check: is (-6,12) on this line? Does 12 = (2/3)(-6) + 16 = -4 + 16 = 12? Yes!

Thank you,

MrB

8 0

3 years ago

What is the slope of the line that passes through the points given in the table? ANSWER IN DECIMAL FORM

PolarNik [594]

Answer:

1.5

Step-by-step explanation:

the slope formula is y2-y1/x2-x1

so take two given points (I'll use (-1, -5) and (3,1))

1--5/3--1

6/4

1 2/4

1.5

3 0

3 years ago

38.96 to the nearest tenth

RUDIKE [14]

39 , is your answer.

6 0

4 years ago

Simplify this expression <br> 4(c - 3)

zavuch27 [327]

Answer:

4c - 12

Step-by-step explanation:

The brackets mean you multiply.

4 x c = 4c

4 x 3 = 12

3 0

3 years ago

Read 2 more answers

Nadia finds out that her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 a

Dahasolnce [82]

$\begin{gathered} y-24=\frac{8}{3}(x-2011) \\ \text{There will be 48 horses in 2020 (option A)} \end{gathered}$ Explanation:

The initial number of horses = 24

year = 2011

Coordinates (2011, 24)

when the number of horses became 32, year was 2014

Coordinates (2014, 32)

We find the slope = rate of change

slope = change in number of horses/change in number of years

slope = (32-24)/(2014-2011)

slope = 8/3

The point slope formula:

$\begin{gathered} y-y_1=m(x-x_1) \\ U\sin gpoint\colon x_1=2011,y_1=24 \end{gathered}$ $y-24=\frac{8}{3}(x-2011)$

The number of horses in year 2020

using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.

8/3 = (y - 24)/(2020 - 2011)

8/3 = (y - 24)/9

cross multiply:

8(9) = 3(y - 24)

72 = 3y - 72

72 + 72 = 3y

144 = 3y

144/3 = 3y/3

y = 48

Hence, there will be 48horses in 2020 (option A)

4 0

1 year ago