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OverLord2011 [107]
2 years ago
14

Solve 60 = 10√ y – 3

Mathematics
1 answer:
Kay [80]2 years ago
6 0

60 = 10 * sqrt (y) -3

add 3 to each side

63 = 10 sqrt(y)

divide by 10

63/10 = sqrt y

6.3 = sqrt (y)

square each side

(6.3)^2 = y

39.69 = y

Answer: y=39.69

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Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
MrRissso [65]

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

7 0
2 years ago
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
2 years ago
Find the radius of a circle if it’s circumference is numerically equal to its area
kotykmax [81]

Answer:

Step-by-step explanation:

hello :

if : r  the radius  ( r ≠0)

the circumference is :  2πr

the area is : πr²

so : πr² = 2πr

simplify by : r π  you have : r=2

5 0
2 years ago
What is the next term in the sequence?
Whitepunk [10]

Answer:

3750

Step-by-step explanation:

each number is being multiplied by five

6*5=30

30*5=150

150*5=750

750*5= 3750

6 0
3 years ago
0.370 repeating decimal as a fraction
Inessa05 [86]

The answer is 37/100 as a fraction. Hope this helps you.


6 0
2 years ago
Read 2 more answers
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