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Brums [2.3K]
3 years ago
5

The coordinates of the vertices of a triangle are (−3,2), (0,−3), and (−4,−2).

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0
The perimeter of the triangle, rounded to the nearest tenth, is 8.5 units.
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Which expressions are equivalent to -3/16?
AysviL [449]
3/-16, - 3/16, -(3/16)
3 0
3 years ago
Read 2 more answers
Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.
Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)

Step3: The perpendicular distance from p to d is

\frac{|x-5|}{\sqrt{(-1)^2+2^2}}

=\frac{|x-5|}{\sqrt{5}}\hfill (2)

Step4: equating (1) and (2)

\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}

Step5: squaring on both sides

(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}

5[(x+1)^2+(y-2)^2]=(x-5)^2

5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0

12x+y^2-2y-24=0

Step6: Equation of the parabola is

y^2-2y+12x-24=0

8 0
3 years ago
Pls help i need help​
Thepotemich [5.8K]

(5^6)^0 \\\\=5^0\\\\=1

4 0
2 years ago
Can somebody explain this please
Naddika [18.5K]
In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for.  Minor arc RQ is double the measure of the angle that intercepts it.  That means that minor arc RQ is 2(12x-12), which is 24x - 24.  The measure of the outside of any circle will always and forever be 360 degrees;  therefore, 40x + 24x - 24 = 360.  Combining like terms gives us 64x = 384 and x = 6.  Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60.  Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
4 0
3 years ago
Please help with either of these questions. Put the answer in the comments please
Lena [83]

Answer:

2) distance = 4 km

Displacement = 4 km east

3) distance = 35 km

Displacement = 5 km north

Step-by-step explanation:

2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,

Total distance covered = 3 + 1 = 4 km

Total displacement is how far he is from his starting point = 3 + 1 = 4 km east

3) Runs 20km north and then runs 15 km back from starting point.

Thus;

Total distance covered = 20 + 15 = 35 km

Total displacement is distance from starting point = 20 - 15 = 5 km north

Subtracted because an opposite direction was taken after the 20km back to her starting point.

6 0
2 years ago
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