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Alika [10]
4 years ago
14

15+15+15=45 7+7+7=21 4+4+4=12 4+15×7=?​

Mathematics
1 answer:
vesna_86 [32]4 years ago
3 0

Answer:

109

Step-by-step explanation:

15+15+15= 45

7+7+7=21

4+4+4=12

4+15×7=109

I hope this helps!

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Determine the point on the hyperbola −3x2+2y2=10 closest to the point (4, 0).
umka2103 [35]
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2

distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6

y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97

Therefore, the required point is (1.6, 2.97)
6 0
3 years ago
circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at
astraxan [27]

Answer:

Step-by-step explanation:

x²+y² = 5²

3²+y² = 25

y² = 16

y = ±√16 = ±4

Since the terminal side is  in quadrant IV, y = -4

sinθ = -4/5

5 0
3 years ago
Consider the relation {(−5, 8), (4, −2), (4, 1), (3, 0)} . What integer is in the domain?
Gre4nikov [31]

<em><u>Question:</u></em>

Consider the relation {(−5, 8), (4, −2), (4, 1), (3, 0)} . What integer is in the domain?

A 8

B -2

C -5

D -1

<em><u>Answer:</u></em>

Option C

The domain is -5, 4, 4, 3

<em><u>Solution:</u></em>

Given relation is:

{(-5, 8), (4, -2), (4, 1), (3, 0)}

<em><u>Let us understand about domain and range</u></em>

Domain refers to the set of possible input values

Range is the set of possible output values

Thus the input values in given relation are:

(x, y) = (-5, 8) , (4, -2) , (4, 1) , (3, 0)

The input values are values of "x"

Input values = -5, 4, 4, 3

Thus the domain of given relation are -5, 4, 4, 3

Thus option C is correct

6 0
4 years ago
Answer Fast!!! Why does 10 to the power of -2 equal 0.01<br> Please tell me quickly!!!!!!!!!!!
vazorg [7]

Step-by-step explanation:

Reason Is because 10^-2 is

1

-----

10^2

= 1/100

=0.01

8 0
3 years ago
Read 2 more answers
Algebra 1 ) U. Checkpoint: Systems of equations and inequalities LOW
krek1111 [17]

Answer:algebra ok

Step-by-step explanation:

7 0
3 years ago
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