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3 years ago

What is the perimeter of the truss in feet?

Mathematics

1 answer:

Zanzabum3 years ago

5 0

I think the truss is just one of those triangles whose sides are 3ft, 3ft, 3ft so its perimeter is

Answer: 9 feet

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Write the equation of the line shown in point-slope form. (2,1) (3,8)

Ulleksa [173]

Answer:

The line equation that passes through the given points is 7x – y = 13

Explanation:

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ ..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

$(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)$

$(y -8) = \frac{(- 7)}{(-1)}(x-3)$

y – 8 = 7(x – 3)

y – 8 = 7x – 21

7x – y = 21 – 8

7x – y = 13

Hence, the line equation that passes through the given points is 7x – y = 13

3 0

3 years ago

PLEASE HELP I WILL MARK BRAINLIEST! Question is in the image.

deff fn [24]

Answer:

Step-by-step explanation:

The interquartile range of a data set is the difference between the upper and lower quartiles.

First, put the values in order from least to greatest:

8, 9, 9, 9, 10, 11, 13, 15, 17, 18, 22

To find the upper quartile, we need to first find the median.

The median of this data set is 11, because it is in the middle of the values.

The upper quartile is the median of all the numbers to the left of 11.

The median of 8, 9, 9, 9, and 10 is 9, because it's in the middle.

So the upper quartile is 9.

The lower quartile is the same, but to the right of 11. The median of 13, 15, 17, 18, and 22 is 17 because it's in the middle.

Now, to find the interquartile range, find the difference between 18 and 9.

17 - 9 = 8

5 0

3 years ago

3x + 5 and x=2, im having trouble understanding how im suppose to do this

velikii [3]

3x + 5 (first plug in 2 for x )

3(2) + 5 =
6 + 5 = 11

Hope this helps . Give brainliest

6 0

3 years ago

Which of the following systems describes the graph ?

Gnoma [55]

Answer:

x > -3 and y ≥ 1/2x - 2

Step-by-step explanation:

blue line = x > -3

red line = pass (0, -2) (4, 0)

y = 1/2x - 2

HOPE THIS HELPS AND HAVE A NICE DAY <3

7 0

2 years ago

What is are the solutions to | x+4 |= 3x-5?

bonufazy [111]

Answer:

x = $\frac{9}{2}$

Step-by-step explanation:

The absolute value always returns a positive value but the expression inside can be positive or negative, that is

x + 4 = 3x - 5 ( subtract 3x from both sides )

- 2x + 4 = - 5 (subtract 4 from both sides )

- 2x = - 9 ( divide both sides by - 2 )

x = $\frac{9}{2}$

-(x + 4) = 3x - 5

- x - 4 = 3x - 5 ( subtract 3x from both sides )

- 4x - 4 = - 5 ( add 4 to both sides )

- 4x = - 1 ( divide both sides by - 4 )

x = $\frac{1}{4}$

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

| $\frac{9}{2}$ + 4 | = | $\frac{17}{2}$ | = $\frac{17}{2}$

right side = $\frac{27}{2}$ - 5 = $\frac{17}{2}$

left side = right side , thus x = $\frac{9}{2}$ is a solution

check second solution

| $\frac{1}{4}$ + 4 | = | $\frac{17}{4}$ | = $\frac{17}{4}$

right side = $\frac{3}{4}$ - 5 = - $\frac{17}{4}$

right side ≠ left sides, hence not a solution

7 0

3 years ago