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FrozenT [24]
3 years ago
6

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin

t (1, -10)?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0
The equation is y=-3/4(x-3)^2-7
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What do algebraic expressions and numeric expressions have in common
siniylev [52]

<u>Answer</u>:

  • A numerical expression is an expression made up only of numbers and operations but an expression written with a variable in it, is called a variable expression. Both a numerical expression and a variable expression can include powers.

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5 0
2 years ago
What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0
rjkz [21]

Answer:

Explanation:

We must write this equation in the form

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Where

(

a

,

b

)

are the co ordinates of the center of the circle and the radius is

r

.

So the equation is

x

2

+

y

2

−

10

x

+

6

y

+

18

=

0

Complete the squares so add 25 on both sides of the equation

x

2

+

y

2

−

10

x

+

25

+

6

y

+

18

=

0

+

25

=

(

x

−

5

)

2

+

y

2

+

6

y

+

18

=

0

+

25

Now add 9 on both sides

(

x

−

5

)

2

+

y

2

+

6

y

+

18

+

9

=

0

+

25

+

9

=

(

x

−

5

)

2

+

(

y

+

3

)

2

+

18

=

0

+

25

+

9

This becomes

(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

,

−

3

)

and the radius is

√

16

or 4

6 0
3 years ago
What is 150/100 in decimal form and percent form
Andrews [41]
Decimal : 1.5
Percent : 150%
3 0
3 years ago
What expressions represent 5/6 × 5
pickupchik [31]

Answer:

5 \div 6 \times 5 = 25\div 6

<h2>25/6 <em>is </em><em>the </em><em>Answer</em></h2>
7 0
2 years ago
The rate of change of y with respect to t is proportional to 50 - y
saveliy_v [14]
We can write and solve the differential equation that fits the statement given;
 dy/dt = k(50-t)
∫dy = ∫ k(50-t)dt
= ∫ (50k - kt) dt
therefore;
y = 50kt - k/2(t²) + C
Alternatively, can be written as
  y = - k/2 (50-t)² + C)
3 0
3 years ago
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