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PtichkaEL [24]
3 years ago
6

357 miles in 7 hours. How many miles per hour

Mathematics
2 answers:
Bumek [7]3 years ago
7 0

Answer:

34

Step-by-step explanation:

alexandr1967 [171]3 years ago
6 0

Answer

34

step-by-step explanation:

depending how much traffic

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Let $A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$. There exists a point $X$ and a constant $k$ such that for any point $P$,
goldfiish [28.3K]

Answer:

k=32

Step-by-step explanation:

Given the points:

A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$.

The first step is to find the <u>Centroid</u> of the triangle.

Centroid, X

=\left(\dfrac{x_1+x_2+x_3}{3} ,\dfrac{y_1+y_2+y_3}{3} \right)\\=\left(\dfrac{4+6+(-1)}{3} ,\dfrac{-1+2+2}{3} \right)\\=\left(\dfrac{9}{3} ,\dfrac{3}{3} \right)=(3,1)

Next, let P be a point (x,y)

Using the <u>distance formula, </u>\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}<u />

<u />PA^2=(x-4)^2+(y-(-1))^2\\PB^2=(x-6)^2+(y-2)^2\\PC^2=(x-(-1))^2+(y-2)^2\\PX^2=(x-3)^2+(y-1)^2\\<u />

On Substitution into: PA^2 + PB^2 + PC^2 = 3PX^2 + k

(x-4)^2+(y-(-1))^2+(x-6)^2+(y-2)^2+(x-(-1))^2+(y-2)^2=3[(x-3)^2+(y-1)^2]+k

Let us simplify the LHS first

\\LHS: x^2-8x+16+y^2+2y+1+x^2-12x+36+y^2\\-4y+4+x^2+2x+1+y^2-4y+4\\=3x^2-18x+3y^2-6y+62

Also, the Right Hand Side

RHS:3[(x-3)^2+(y-1)^2]+k\\=3[x^2-6x+9+y^2-2y+1]+k\\=3x^2-18x+27+3y^2-6y+3+k\\=3x^2+3y^2-18x-6y+30+k

Therefore:

3x^2-18x+3y^2-6y+62=3x^2+3y^2-18x-6y+30+k\\k=3x^2-18x+3y^2-6y+62-3x^2-3y^2+18x+6y-30\\k=3x^2-3x^2+3y^2-3y^2-18x+18x+62-30\\k=32

7 0
3 years ago
What is the surface area formula for this shape and if you could explain that would help me a lot ​
siniylev [52]

Answer:

I think it's A

Step-by-step explanation:

The reason is because the circle is pi r ^2 but the wedge is some kind of fraction of a circle with degree 1, like area times circumference. The question should say, which of the following is the most probable formula for SA.

4 0
3 years ago
Read 2 more answers
HELP ME PLEASE WILL MARK BRAINLIEST
kherson [118]

Answer:

Bottom Left

Step-by-step explanation:

Break up the numbers to 7,  and -8.

Break up the fractions to 1/5 and -3/5.

4 0
4 years ago
Read 2 more answers
Please help
Lesechka [4]
(4/2)^2*3.4*4
2^2*3.4*4
4*3.4*4
13.6*4
54.4

(4/2)^2*3.4*4
2^2*3.4*4
4*1.7*4
6.8*4
27.2

the answer is 54.4 or the answer is 27.2, i can't quite figure it out but those are my best guesses
8 0
3 years ago
Find the Greatest Common Factor (GCF) of 3 and 15?
yuradex [85]

Answer:

1,15 ;-;

Step-by-step explanation:

hope this helps :D

6 0
3 years ago
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