x intercepts of -12x^2+108x=h and the y intercept

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y=x-2

We know that Reflecting over the x-axis inverts the sign of the y-coordinate.

Thus, after reflecting over the x-axis, the equation would be:

-y = x - 2

Now, writing the equation in the slope-intercept form

y=mx+b

where

so the equation in the slope-intercept form

-y = x - 2

y = -x + 2

Here,

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

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Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

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The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Answer:

the degree of the function is 8

Step-by-step explanation:

        (f º g º h)(x) = [tex]f(g(h(x)))[/tex]

first lets evaluate g(h(x))

         [tex](x^4 + 2x^3)^2 - 4(x^2 + 2x^3)[/tex]

simplify

        [tex]x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3[/tex]

        [tex]x^8 + -4x^3 + 4x^6 - 4x^4[/tex]

you can easily see that the highest power term is 8 meaning the degree of the function is 8

Answer:

its 8 :)

Step-by-step explanation:

Answer: There are 5 five minute intervals.

I hope this helps, and Happy Holidays! :)

Answer:

25, 5 minute intervals.

Step-by-step explanation:

Hope this helps and you have a great day!

Answer:

x = 32, y = 51

Step-by-step explanation:

You know the longest side of ΔTUS is 13m and the longest side of ΔMNP is (2x-y). Thus:

2x - y = 13 --- Equation 1

You know the sum of angles in a triangle is 360°. Two of the angles are given in ΔMNP (142° & 24°) and the remaining angle is (2x-50)°. Thus:

142 + 24 + 2x - 50 = 180

2x + 116 = 180

2x = 180 - 116

2x = 64

x = 64 ÷ 2

x = 32 --- Equation 2

Substitute x = 32 into Equation 1:

2(32) - y = 13

64 - y = 13

-y = 13 - 64

   = -51

y = 51 --- Equation 3

Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding angles and sides are congruent, then

∠ U = ∠ N and NP = US

Require to find ∠ N

∠ N = 180° - (24 + 142)° ← sum of angles in triangle

      = 180° - 166°

      = 14°

Thus

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13 ← substitute x = 32

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Answer:

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

Answer:

g = 2d - 8

g + d = 46

Answer: (b + 3)/2

[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]

Step-by-step explanation:

Answer:

(b + 3)/2

Step-by-step explanation:

Answer:

Wyatt I'm pretty sure so D

Step-by-step explanation:

Answer:

Rate Of Change= 7

Step-by-step explanation:

all you have to do is see the difference, imma make a table here first

x       y

1       10

3      24

6      45

11      80

15    108

from 10 to 24 you add 14

from 1 to 3 you add 2

so y/x

14/ 2 = 7

check:

from 24 to 45 you add 21

from 3 to 6 you add 3

so y/x

21/3 = 7

From y/x your final answer will always be 7.

So the rate of change will be 7.

Hope this helped a little!

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

Headband-23.665 inches

wristband-8.51 inches

The y-intercept is positive 15

Answer:

C. 3,094 km in 12 hr

Step-by-step explanation:

we need to find kilometer per 1 hour so

2983/5=596.6 kilometers per hour

5,193/7= 741.857142857 km per hour

3,094/12=257.833333333 km per hour

1,784/3=594.666666667 km per hour

now which number is lowest

third one

Have a wonderful day! ask me if you have more questions

Answer:

I would say A?

Step-by-step explanation:

if i'm not right im sorry :(

3 out of 12

1 out of 4

yea hopefully correct

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

Answer:

x =16

Step-by-step explanation:

-x+4=-12

 -4    -4

-x=-16

/-    /-

x=16

Answer:

x=16

Step-by-step explanation:

-x+4=-12

Subtract 4 from -12 ( -16 )

Divide

-x/-16 ( 16 )

x=16

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Answer:

x=102

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

So the equation is:

Answer:

.8345

Step-by-step explanation:

Answer:

46800

Step-by-step explanation:

10x15x24x13=46800

Answer:

What is the pattern as the exponents decrease?

✔ divided by 8

What is the value of each variable in the table?

a =  

✔ 1

b =  

✔ 1/8

c =  

✔ 1/64

Step-by-step explanation:

Brainliest pls

Answer:

x=3.91

Step-by-step explanation:

29.46=13.82+4x

13.82+4x=29.46

subtract 13.82 from both sides

4x=15.64

divide by 4

x=3.91

Answer:

2, -2

Step-by-step explanation:

just test each one

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Answer: Simple Answer.

The simplest way to obtain the minimal floor is to throw an egg from the first floor, then from the second and so on. This way when the egg is finally broken then we will know that this is the floor. This is a reliable algorithm, but in the worst-case scenario it would take 100 throws.

The important thing to notice is that it is the only reliable algorithm when you have only one egg. So you need to start using this algorithm when you break the first egg.

Step-by-step explanation: Intuitive answer.

This way, our first egg should be used to split the 100 floors range into smaller ranges as efficiently as possible. Thus, an intuitive and popular answer is to throw the first egg from 1/n-th of the floors to check. For instance 1/3. Then the algorithm will look like the following:

Throw the egg from 33rd floor. If it breaks, then we check the first 32 floors using the second egg.

Otherwise, we throw the egg from 33 + (67 * 1/3) = 55th floor. If it breaks, then we check floors 34 to 55 using the second egg.

…

Worst case scenario for 1/3 is max(33, 24, …) = 33. This way we might find a perfect n that optimizes the number of throws using some dynamic programming. This is a valuable solution that presents programming thinking, but it is not an optimal solution.

The optimal solution is when all arguments of this max function are equal. How do we achieve it? Looking from the end, the last D(n) is going to be 1, because we will finally get to the point where there is only the single floor for the first egg. Therefore D(n-1) should be equal to 2 because it has one less throw of the first egg.

We see then that the first egg should be thrown finally from the 99th floor, previously from 99–2=97, previously from 97–3=94, 90, 85, 79, 72, 64, 55, 45, 34, 22 and the 9th floor. This is an optimal solution! This way, we need 14 throws in the worst case scenario (the smallest difference is 13, but we had to make one extra throw on the 9th floor).

Simple equation to find the answer is following:

Where f is number of floors. This can be simplified to: min n*n+ divided by 2 greater than f

That is equal to: n=ceil 8f + 1 - 1, divided by 2