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kolezko [41]
3 years ago
5

The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the tria

ngle compare to the longest side?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0
The longest side is 1/2 of the overall length of the perimeter. 

You can get this by making the shortest side equal to x, which makes the second side 2x and the longest side 3x. 

However, ti should be noted that this triangle could not exist since the lengths of the two shorter legs would not be greater than the 3rd side. 
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Through: (-3,0), perp. to y = 3x - 1
Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

If m_1 is the slope of perpendicular line, then

m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

7 0
3 years ago
A square has sides of length s a rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following polynom
harkovskaia [24]
I think the answer is C
5 0
2 years ago
8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
50:10 in simplest form
Reil [10]

Answer:

5/1 or 5:1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The scatter plot shows the number of stamps Katie collected in different months:. . Plot ordered pairs 1, 30 and 2, 70 and 3, 11
Virty [35]
The sequence:
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a 2 = a 1 + d
70 = 30 + d
d = 70 - 30 = 40
a n = a 1 + ( n - 1 ) * d
For the 25th month:
a 25 =  30 + 24 * 40 = 30 + 960 = 990
Answer: B ) 990.
3 0
3 years ago
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