How do you factor out the trinomial: 6x²+14x+4

Answers

Answer 1

Answer: 6x² + 14x + 4
sum: 14 (12+2=14)
product: (6 × 4 = 24) (12×2=24)

6x² + 12x + 2x + 4
6x(x + 2) + 2(x + 2)
(6x + 2)(x + 2)

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How to work out 100 divided by 150 without a calculator?

Answers

100 / 150
I always simplify fractions by dividing the top and bottom of the fraction by the same numbers. Choose simple numbers you can do in your head, like 2.
I know 100/2 = 50 and 150/2 = 75
so now I have the fraction 50/75
then simplify it even more. Try dividing both top and bottom by 5s.
50/5=10 and 75/5=15
so now I have the fraction 10/15
now keep dividing by 5s.
10/5=2 and 15/5=3
so 100/150 simplifies to 2/3, or in decimal form 0.6666666666 repeating

Which measure is of an angle that is coterminal with a 95° angle?

Answers

Find coterminal angles Ac to a given angle A.

What are coterminal angles?

If you graph angles x = 30o and y = - 330o in standard position, these angles will have the same terminal side. See figure below.

Coterminal angles Ac to angle A may be obtained by adding or subtracting k*360 degrees or k* (2 Pi). Hence

Ac = A + k*360o if A is given in degrees.

or

Ac = A + k*(2 PI) if A is given in radians.

where k is any negative or positive integer.

Example 1: Find a positive and a negative coterminal angles to angle A = -200o

95 + 360n

I hope that's help but , please help me know if you have question

The equation of line k is y=-1/5x -1/8. What is the equation of the line that is perpendicular to line k and passes through (0,0)?

Answers

y=-1/5 x-1/8
Gradient, m= -1/5
A line perpendicular will be;
m=15
y=mx+c
Replacing for x and y;
0=5(0)+c
c=0
y=5x

If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term?

Answers

The sum of an arithmetic sequence can be found using the formula S = n/2(a + l) where S equals sum, n equals # terms, a equals the first term and l equals last term we know enough of these to find the missing pieces S = -15n = 20a = 4 -15 = 20/2 (4 + l) now we only have one unknown -15 = 10 (4 + l)-15 = 40 + 10l-55 = 10l l = -5.5 so the last term is -5.5 now we can use anothe formula to find the common difference l = a + (n-1) d so the last term equals the first term (a) plus # terms -1 times (d) the common difference -5.5 = 4 + (20-1) d -9.5 = 19 d d = -.5 so your common difference is -.5

Help plz

Character limit = EEEEEEEEEEEEEEEEE

Answers

Answer:

160 $cm^(3)$

Step-by-step explanation:

We know it is square based, so we know that the sides are the same.

Therefore the length is also 4.

4 * 4 * 10

=160

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2Help me please....I need good grades

Answers

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = (1)/(3) x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = (1)/(3) x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = (1)/(3) (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= (1)/(3) x + 2$

$\Rightarrow \: - 2 = (1)/(3) x$

$\Rightarrow \: - 2 * 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

Answer:

jh24

Step-by-step explanation:

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