Twenty two less than three times a number is -70

The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four

Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

Side 1 = x

One side of the triangle is one foot longer than the second side

Side 2 = x - 1

The third side is four feet longer than the second side

Side 3 = (x - 1) + 4

Perimeter = sum of all sides

47 = x + (x - 1) + (x - 1) + 4

47 = x + x - 1 + x - 1 + 4

47 = 3x + 2

47 - 2 = 3x

45 = 3x

x = 15

substitute for x in each of the sides

Side 1 = x => 15 feet

Side 2 = x - 1 => 15 - 1 = 14 feet

Side 3 = (x - 1) + 4 => 14 + 4 = 18 feet

6 0

4 years ago

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If a graph shows the function y=3x what are the coordinates of the intercepts

vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:

x

=

−

5

3

y

intercept:

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the

x

and

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the

y

intercept first:

With any function,

y

intercepts where

x

=

0

.

Therefore, substituting

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the

y

intercept cuts through the point (0,5)

Let's calculate the

x

intercept next:

Recall that with any function:

y

intercepts where

x

=

0

.

The opposite is also true: with any function

x

intercepts where

y

=

0

.

If we substitute

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for

x

to calculate the

x

intercept.

−

5

=

3

x

−

5

3

=

x

Therefore, the

x

intercept cuts through the point

(

−

5

3

,

0

)

.

Now we have both the

x

and

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}

3 0

3 years ago

Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the leng

kodGreya [7K]

The square's diagonal is the triangle's hypotenuse.

the original Pythagorean theorem is $a^{2} + b^{2} = c^{2}$ where a and b are the two sides and c is the hypotenuse.

that means the Pythagorean theorem for this question is:

$s^{2} + s^{2} = d^{2}$ or $2( s^{2} )= d^{2}$

8 0

4 years ago

Read 2 more answers

What I the slope of the equation of the line below.

Goshia [24]

Answer:

<h2>the slope m = 3</h2>

Step-by-step explanation:

Look at the picture.

The formula of a slope:

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

From the graph we have the points (0, 4) and (-2, -2). Substitute:

$m=\dfrac{-2-4}{-2-0}=\dfrac{-6}{-2}=3$

5 0

3 years ago

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Ln how many ways 5 person sitted in a round table having 8 seats?

kvasek [131]

Answer: First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

Step-by-step explanation:

First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

5 0

3 years ago