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3 years ago

Y: 2y - 3(4y-3) = 9y + 28

Mathematics

1 answer:

Elanso [62]3 years ago

4 0

Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

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A circle has a radius of 3. An arc in this circle has a central angle of 60°.

MArishka [77]

Answer:

Step-by-step explanation:

s = (∅/360) * (2πr)

s = (60/360) * (2π*3)

s = (1/6) * (6π)

s = π

8 0

3 years ago

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in

kifflom [539]

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

3 0

3 years ago

Explain how the Quotient of Powers was used to simplify this expression.

Ksju [112]

For this case we have the following expression:
$\frac{5^4}{25}$
Rewriting the expression we have:
$\frac{5^4}{5^2}$
In the division, if we have the same base, the exponents are subtracted.
Therefore, by rewriting the expression we have:
$\frac{5^4}{5^2}=5^{4-2}$
$5^{4-2} = 5^2
$
Answer:
The equivalent expression is given by:
$\frac{5^4}{25}=5^2$

5 0

4 years ago

Read 2 more answers

Helllllllllllkklllllllkkkkkkkp

grigory [225]

Ab + c = d

In other words, you can put it like this:
1(ab) + 1c = 1d

Since our answer choices, let's try to get a by itself.

ab + c = d
Subtract both sides by c.
ab = d - c
Now, a is being multiplied by b, so we need to perform the opposite order of operations (divide).
Divide both sides by b.

You're left with:
a = (d - c)/b

Your answer is D.)

I hope this helps!

7 0

4 years ago

What is the recursive rule for the sequence 1, −6, 36, −216, ... ? an=6⋅an−1 , a1=1 an=−6⋅an−1 , a1=1 an=−16⋅an−1 , a1=1 an=16⋅a

labwork [276]

Answer:

Option 2) $a_n = -6(a_{n-1})$