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AleksAgata [21]
3 years ago
7

How will you find the distance between these two points using Pythagorean theorem?

Mathematics
1 answer:
kow [346]3 years ago
3 0
R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y

Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)

Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34

The distance is √34 unit length
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Let F(X) = x^2-16x+71. What is the vertex and minimum value of F(X)?
LekaFEV [45]
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex

f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7


the vertex is (8,7)
the minimum value is 7
7 0
3 years ago
4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there
kherson [118]

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

6 0
3 years ago
2 2/3 divided by -8/9
miv72 [106K]

Answer:

-3

Step-by-step explanation:

simplify the expression

5 0
3 years ago
Write an expression for the calculation double 2 and then add 5
valina [46]

Answer:


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Can someone help me answer
siniylev [52]

Answer: 9 kilos total thats it

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5 0
3 years ago
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