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Zielflug [23.3K]
2 years ago
15

+

Mathematics
1 answer:
klasskru [66]2 years ago
8 0

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

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Consider three persons, A, B, and C, who are to be seated in a row of three chairs. Suppose A and B are identical twins. How man
zubka84 [21]

Answer:

2 ways

Step-by-step explanation:

The best way to do this is to fix the position of the stranger and then arrange the two identical twins

The number of ways of knowing where the stranger will seat is 1! ways = 1 way

The number of ways of arranging the two identical twins is 2! ways = 2*1 = 2 ways

The number of sitting arrangements = 1 * 2 = 2 ways

6 0
3 years ago
Two angle measures of a triangle are 35° and 50° . What is the measure, in degrees, of the other angle?
zubka84 [21]

Answer:

95

Step-by-step explanation:

35+50= 85

180-85=95

7 0
3 years ago
Read 2 more answers
A toy rocket is launched from a platform that is 48 ft high. The rocket height above the ground is modeled by h=-16t^2+32t+48. a
Komok [63]

Answer:

a) 64 feet

b)  3 seconds

Step-by-step explanation:

a)

The maximum height of h=h(t) can be bound by finding the y-coordinate of the vertex of y=-16x^2+32x+48.

Compare this equation to y=ax^2+bx+c to find the values of a,b,\text{ and } c.

a=-16

b=32

c=48.

The x-coordinate of the vertex can be found by evaluating:

\frac{-b}{2a}=\frac{-32}{2(-16)

\frac{-b}{2a}=\frac{-32}{-32}

\frac{-b}{2a}=1

So the x-coordinate of the vertex is 1.

The y-coordinate can be found be evaluating y=-16x^2+32x+48 at x=1:

y=-16(1)^2+32(1)+48

y=-16+32+48

y=16+48

y=64

So the maximum height of the rocket is 64 ft high.

b)

When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.

So we are trying to find the second t such that:

0=-16t^2+32t+48

I'm going to divide both sides by -16:

0=t^2-2t-3

Now we need to find two numbers that multiply to be -3 and add to be -2.

Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.

0=(t-3)(t+1)

This implies we have either t-3=0 or t+1=0

The first equation can be solved by adding 3 on both sides: t=3.

The second equation can be solved by subtracting 1 on both sides: t=-1.

So when t=3 seconds, is when the rocket has hit the ground.

5 0
3 years ago
Factorise fully<br> 15x-10
padilas [110]

Answer:

15

x

+

10

y

Factor

5

out of

15

x

.

5

(

3

x

)

+

10

y

Factor

5

out of

10

y

.

5

(

3

x

)

+

5

(

2

y

)

Factor

5

out of

5

(

3

x

)

+

5

(

2

y

)

.

5

(

3

x

+

2

y

)

Step-by-step explanation:

6 0
3 years ago
513 is 114% of what number<br>​
Liono4ka [1.6K]

Answer:

450

Step-by-step explanation:

513÷114=4.5 then move decimal 2 places to the right

513÷450= 1.14 then move decimal 2 places to the right

6 0
2 years ago
Read 2 more answers
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