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2 years ago

The perimeter of a triangle is

Mathematics

1 answer:

Firlakuza [10]2 years ago

5 0

Answer:

$Side\ 3 = 6x - 7$

Step-by-step explanation:

Given

$Perimeter = 17x - 5$

$Side\ 1 = 3x + 5$

$Side\ 2 = 8x - 3$

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

$Perimeter = Side\ 1 + Side\ 2 + Side\ 3$

Substitute values for Perimeter, Side 1 and Side 2

$17x - 5 = 3x + 5 + 8x - 3 + Side\ 3$

Collect Like Terms

$17x - 5 = 3x + 8x + 5 - 3 + Side\ 3$

$17x - 5 = 11x + 2 + Side\ 3$

Solve for Side 3

$Side\ 3 = 17x - 11x - 5 - 2$

$Side\ 3 = 6x - 7$

<em>Hence, the length of the third side is 6x - 7 units</em>

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Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w

Cerrena [4.2K]

Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

We need to find constant rate at miles per hour;

But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

time $t =\frac{45}{60}= 0.75\ hrs$

Now we know that;

Distance is equal to rate times time.

framing in equation form we get;

distance $d =rt$

rate $r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr$

Hence Ms. Thomas was driving at constant rate of 52 miles/hour.

6 0

3 years ago

Factor completely. y2+6y+8

zloy xaker [14]

If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
-Jabba

4 0

3 years ago

Read 2 more answers

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

10 months ago

Gemma's mean speed on her drive home from Chicago is 59mph. If the total trip is 295 miles, how long should she expect the drive

SCORPION-xisa [38]

Answer:

5 hours

Step-by-step explanation:

If shes going 59mph and the total trip is 295mph

then you would divid 295 by 59 and get 5

5 0

3 years ago

Mr. Chang’s class has 28 students, StartFraction 4 Over 7 EndFraction of whom are girls. Which equation shows how to determine t

Olegator [25]

Answer:

Okay, so we know a number of students and the amount of girls as a bracket. So what we have to do now is multiply them with each other.

28 *4/7 = 16

So there are 16 girls in Mr. Chang´s class.

You can also determine the boys by - the students with the girls:

28-16=12 boys

Have a nice day :D

Step-by-step explanation:

brainliest?

7 0

3 years ago

Read 2 more answers