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Elena-2011 [213]
3 years ago
6

Points A, B, and C are collinear. Find the value of x given AB = 3x, BC = 5x + 10. and AC = 74.​

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

since it's a collinerar

or, AB+BC=AC

or, 3x+5x+10 = 74

or, 8x = 74-10

or, 8x = 64

or, x = 64/8

x = 8

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5. A ball is thrown upward with an initial velocity of 50 feet per second. The
dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
the frequency table shows the number of books some students read last summer. Based on the data in the table, which statement is
Whitepunk [10]

Answer:

  A.) nine more girls read 6 or more than boys who read 6 or more books

Step-by-step explanation:

Let's examine the statements ...

  a) 24 is 9 more than 15 . . .  TRUE

  b) 41 is 6 more than 36 . . . false

  c) 32 is twice as many as 15 . . . false

  d) 24 is twice as many as 48 . . . false

3 0
3 years ago
9 to the power 3 + 3 to the power 2 + 6 to the power 3 + 15 power 2 equals to how much
Llana [10]
Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!


So-------

9^3=729

3^2=9

6^3=216

15^2=225



Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.



Therefore, your final answer will be 1,174.




If you have any questions on this, I'm happy to help you. :)




3 0
3 years ago
Read 2 more answers
Divide 4^2/4^6
deff fn [24]

Step-by-step explanation:

=  {4}^{2}  \div  {4}^{6}

=  {4}^{2 - 6}

=  {4}^{ - 4}

Option → C

\:

=  {4}^{ - 4}

=  \frac{1}{ {4}^{4} }

=  \frac{1}{4 \times 4 \times 4 \times 4}

=  \frac{1}{256}

Option → A

6 0
3 years ago
Charles earned a total of $180 from working 12 hours. He earned the same amount each hour. Write an equation to describe the rel
olga2289 [7]

Answer:

he earns $15 an hour. the equation is 12h=t

Step-by-step explanation:

you can make the equation 180=12x where x equals the amount per hour

divide 12 by both sides and you get x=15 which means he makes 15 dollars an hour

7 0
3 years ago
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