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Alinara [238K]
3 years ago
6

Factor –3y – 18 and choose the correct option.

Mathematics
1 answer:
den301095 [7]3 years ago
5 0
<h3>Factor –3y – 18 is:  -3(y + 6)</h3>

<em><u>Solution:</u></em>

Given that we have to factor -3y - 18

Use the distributive property,

a(b + c) = ab + bc

From given,

-3y - 18

Factor out the greatest common factor of 3 and 18

The factors of 3 are: 1, 3

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 3

Factot out 3 from given expression

-3y - 18 = 3( - y - 6)

Or else we can rewrite as,

-3y - 18 = -3(y + 6)

Thus the given expression is factored

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How do I get the answer??
Lubov Fominskaja [6]

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

  • √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
  • √9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

  • 3√5 + √5
  • √5 + √5 + √5 + √5
  • 4√5

Now using the same rule as above, we can multiply the values:

  • √2(4√5)
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Your solution is 4√10

3 0
2 years ago
Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)
nexus9112 [7]

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if the two lines are perpendicular , then m_{1}m_{2} = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

m_{1} = 1/2

Therefore :

m_{2} = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

y-y_{1} = m (x-x_{1} )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

7 0
3 years ago
A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
How do I solve this?
sergij07 [2.7K]

Answer:

x = 22/3

Step-by-step explanation:

QR + RS = QS

=> 2x + 1 + 4x + 17 = 9x - 4

-3x = -22

x = 22/3

7 0
3 years ago
Read 2 more answers
your job is to decide which of a set of given numbers is the smallest. how many comparisons (of 2 numbers at a time) do you have
kap26 [50]
If I have eight numbers and i am tasked to decide which of the set of given numbers is the smallest comparing 2 numbers at a time, I will have 28 comparisons in all. Trying all combinations for the first number, you have 7. Trying all combinations for the second number nit including its comparison to the first number (because it will be redundant), you will have 6 comparisons an so on. Adding it all up, you have 7+6+5+4+3+2+1=28.
7 0
2 years ago
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