If x= -3 is one solution of x2 + 9x + 18, what is the other solution?​

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer:

Mr. Samuels

Step-by-step explanation:

Mr samuels runs a mile in 36 seconds, which is much faster than Mr. Howell.

Answer:

It kind of looks like the length of IY should be trippled (multiplied by 3 times) by EY so 3 x 7.9 = 23.7 I THINK it's 23.7

Wait for more responses if needed.

Answer:

The answer is 142°.

Step-by-step explanation:

We know this because corresponding angles are always congruent. Thus, in the parallel lines m || n (with the transversal) a corresponding angles is exampled. Nonetheless, x would be equal to 142°.

Am I correct? >.<

Hopefully I helped! :)

Answer:

1222

Step-by-step explanation:

Answer:

21.47

Step-by-step explanation:

I just used the Pythagorean theorem

Answer:

120

Step-by-step explanation:

90 x 100 ÷ 75 = 120

Answer:

D

Step-by-step explanation:

Answer:

900?

Step-by-step explanation:

.... self explanatory

Answer: 16cm

Step-by-step explanation:

The radius is half of the diameter so you would have to double the radius.

Answer:

16cm

Step-by-step explanation:

The diameter of a circle is double the radius, so if a circle has a radius of 8cm, it has a diameter of 16cm because that's double 8cm.

Answer: 1 /3

Explantion:

Answer:

HL

Step-by-step explanation:

Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.

Answer:

$1500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year,

then, solving our equation

I = 500 × 0.2 × 10 = 1000

I = $ 1,000.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 20% per year

for 10 years is $ 1,000.00.

Hey there!

The answer to your question is, yes, it is

Given:

[tex]\frac{8}{5}[/tex] [tex]and[/tex] [tex]\frac{24}{15}[/tex]

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

[tex]8*15=24*5[/tex]

Let's solve it and see if it is true:

[tex]8*15=24*5[/tex]

[tex]120=120[/tex]

Therefore, they are proportional.

Cross products

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, [tex]\frac{a}{b}[/tex] [tex]and[/tex] [tex]\frac{c}{d}[/tex], [tex]a*d[/tex] should equal to [tex]b*c[/tex]

Hope it helps, and have a terrificly amazing day!

Answer:

Angle BOC is 80 degrees

Angle COD is 60 degrees

Answer:

∠ BOC = 80°, ∠ COD = 60°

Step-by-step explanation:

∠ AOC = ∠ DOF = 120° ( vertical angles ), then

∠ BOC = ∠ AOC - ∠ AOB = 120° - 40° = 80°

-----------------------------------------------------------------

∠ COD = 180° - ∠ AOC = 180° - 120° = 60°

Answer:

Step-by-step explanation:

g(x) is vertical translation of f(x) by -12 units

Answer:

-7 — -4=-3

so the common diff.

-3.

Step-by-step explanation:

hopr helps

Answer: 130, 43, 55, 27

Step-by-step explanation:

9) 130 / it's supplementary to 180

10) 43 / its vertical to 43 meaning its 43

11) 55 / will add up to 360 meaning b = 55

12) 27 / its a 90-degree angle with 63 degrees needing 27

Answer:

X=200

First your going to add all sides together. Once you finish you should get

50+55+90=195

after you got your answer your going to round to the tenths if it's higher than 5 your going to make it 200 but if it's lower than 5 than your going to make it 180.

So in our case because it's 195 we're going to turn it into a 200.

I hope this helps

Answer: 15%

Step-by-step explanation:

The usual price is $80.

This week however, the set sold for $12 less than this usual price of $80.

Savings therefore are $12 because people save $12 by buying it at $12 off.

Percentage of usual price:

= Savings / Usual price * 100%

= 12 / 80 * 100%

= 0.15 * 100

= 15%

Answer:

14-2x=4*2x-38

Step-by-step explanation:

Answer:

then you would have as length or width 8 by 7 feet, or any other factors of 56 as the width or length. Since you want to increase the area.

Answer: 1=2x     2=(0, 1/4)

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

Because you have to also think about tax of the item. Plus add them both up and it costs $2.24 without tax. Which means it's already above $2.

Answer:

6 packs of buns 8 packs of patties

Step-by-step explanation:

6 x 8 = 48

8 x 6 = 48

Answer:

a little bit less than 30

Step-by-step explanation: