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2 years ago

To the nearest tenth, find the perimeter of ∆ABC with vertices A(-1,4), B(-2,1) and C(2,1).

1 answer:

swat322 years ago

7 0

First we need to find the length of each side of the triangle , and for that we need to use the distance formula, that is
$d =\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2}$
$AB = \sqrt{(1-4)^2 +(-2+1)^2}= \sqrt{10}$
$\sqrt{BC} = \sqrt{(1-1)^2 + (2+2)^2}=4$
Perimeter is the sum of all sides.
$Perimeter = AB + BC + AC = \sqrt{10}+4 +\sqrt{18}$
$Perimeter= 11.4$

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wich of the following choices describe the conversion ratio you would use to convert miles to yards check all that apply

Luda [366]

You could do:

1 mile : 1,760 yards.

So, you would multiply 1790 times 2 and get 3520. The closest thing to 4500 yards is 3520.

So you get 2 miles and 980 yards.

5 0

3 years ago

Simplify the algebraic expression: 4x + 8y + 7x² + 5x – 2y.

-BARSIC- [3]

Answer:

7x² + 9x + 6y

Step-by-step explanation:

7x² + 4x + 5x + 8y - 2y

5 0

2 years ago

Eduardo and Paul are leaving the same airport in Florida. Eduardo’s flight to Jamaica is 273 miles long. Paul's flight to Hondur

k0ka [10]

Answer:

B. 41.8° is the correct answer

Step-by-step explanation:

We are given that,

Length of Eduardo's flight path = 273 miles

Length of Paul's flight path = 357 miles

Distance between their destinations = 238 miles.

Now, using the law of cosines, we get,

$238^2=273^2+357^2-2\times 273\times 357\times \cos \theta$

i.e. $56644=74529+127449-194922\times \cos \theta$

i.e. $56644=201978-194922\times \cos \theta$

i.e. $194922\times \cos \theta=145334$

i.e. $\cos \theta=0.7456$

i.e. $\theta=\arccos 0.7456$

i.e. θ = 41.8°

Hence, the angle between their flight paths is 41.8°.

4 0

3 years ago

HELP ME PLEASE I NEED TO FINISH ALGEBRA TODAY ITS URGENT I BEG YOU I DONT HAVE TIME

WARRIOR [948]

#66 Dimensions of matrix: The dimensions of a matrix are
[number of rows (across) x number of columns (up and down)]
There is 1 row and 4 columns, hence the dimensions of [1 x 4]

#71: use factor/label conversion method.
480 minutes 1 hour 480 hours 8 hours
* -------------- = -------------- =
60 minutes 60 minutes

#72: common difference is how you get from one number to the next in the sequence. So from 42 to 38, you subtract 4, and the pattern is subtract 4 for the whole sequence. So the common difference is -4

#38: The midpoint is the middle of the two coordinates, so imagine when used to find mean by drawing a number line like 1 to 10 and the mean would be 5. What did you do? You added 1 and 10 and divided by 2.
You can use the same method for finding midpoints on the coordinate plane.
The formula for midpoint is (x1+x2),(y1+y2). So it's (5 + 2) , (8 + 7) which equals (7, 15).

#35: This is the same 3* x^(9*1/5) = 3*x^9/5
Remember square root of a number is the same as that number to the 1/2, and the same with all other roots. The fifth root of x is the same as x to the power of 1/5

#36: This is the same as 36*( x^5*3/2 * y^3*3/2), since you can put the power to each of the numbers almost like the distributive property.
= 36 * (x^15/2 * y^9/2)

Well #20 is extremely easy. The solutions are anything that is shaded in the blue

The rightmost question is the same thing as #20. Anything not shaded is not a solution.


#64: Just like you learned in elementary school, the median is the middle number. The middle number is 10

4 0

3 years ago

Which ratio is equivalent to 6 : 7? A. 12 : 13 B. 18 : 48 C. 36 : 49 D. 48 : 56

lara [203]

The answer is D. The answer is D because you just keep multiplying each number by the same number.

6 • 8 = 48
7 • 8 = 56

6 0

2 years ago