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3 years ago

For these questions, give your answers to 1 decimal place.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

the anwers is a

i hope this help you

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Triangle ABC has vertices at (-3, -1), (-1, 2) and (6, 1). What is the perimeter of triangle ABC, rounded to the nearest tenth?

Marta_Voda [28]

$Perimeter=19.9units$

Why?

We can find the perimeter of any triangle adding the length of its sides. Since we are given 3 points, we need to calculate the length of the three sides of the triangle, and then add them to know the perimeter of the triangle.

Let be the points:

A(-3,-1)

B(-1,2)

C(6,1)

<h3>- Distances</h3>

From A to B:

$d(A,B)=\sqrt{(-1-(-3))^{2}+(2-(-1)^{2}}\\\\d(A,B)=\sqrt{(2)^{2}+(3)^{2}}=\sqrt{4+9}=3.61units$

From A to C:

$d(A,C)=\sqrt{6-(-3))^{2}+(1-(-1)^{2}}\\\\d(A,B)=\sqrt{(9)^{2}+(2)^{2}}=\sqrt{81+4}=9.22units$

From B to C:

$d(B,C)=\sqrt{6-(-1))^{2}+(1-2)^{2}}\\\\d(A,B)=\sqrt{(7)^{2}+(-1)^{2}}=\sqrt{49+1}=7.07units$

Now, calculating the perimeter, we have:

$Perimeter=d(A,B)+d(A,C)+d(B,C)=3.61units+9.22units+7.07units\\\\Perimeter=19.9units$

Have a nice day!

5 0

3 years ago

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Elenna [48]

Step-by-step explanation:

$\frac{5 {}^{ - 4x + 7} }{125 {}^{x} }$

$\frac{5 {}^{ - 4x + 7} }{5 {}^{3x} }$

$5 {}^{ - 4x + 7 - 3x}$

$5 {}^{ - 7x + 7}$

7 0

2 years ago

3x^3+2x+1 what theorem is used

AnnyKZ [126]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which of the following segments is tangent to the circle?

MrRissso [65]

2) DE

Best luck with your studying

3 0

3 years ago

Find the coordinate A if M (-5,-9) is the midpoint of AB and B has coordinate of (3,-5)

rodikova [14]

The coordinates of Point A are (-13,-13)

Step-by-step explanation:

The formula for mid-point of two points (x1,y1) and (x2y2) is given by:

$M = (\frac{x_1+x_2}{2} , \frac{y_1,y_2}{2})$

Given

M = (-5,-9)

B(x2,y2) = (3,-5)

Putting the values

$(-5,-9) = (\frac{x_1+3}{2} , \frac{y_1-5}{2})$

Comparing respective elements

$\frac{x_1+3}{2} = -5\\x_1+3 = -5 * 2\\x_1+ 3 = -10\\x_1 = -10-3\\x_1 = -13\\AND\\\frac{y_1-5}{2} = -9\\y_1-5 = -9 * 2\\y_1-5 = -18\\y_1 = -18+5\\y_1 = -13$

Hence,

The coordinates of Point A are (-13,-13)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

#LearnwithBrainly

4 0

4 years ago