Hint: To be collinear, show that : AB
t
SP SQ
यदि P र Q दुई बिन्दुहरू हुन् जसका निर्देशाङ्कहरू क्रमशः (ark, 2at) र (1) र S बिन्दु (a, 0) भए
( 4 )
बाट मुक्त छ भनी देखाउनुहोस् ।
IP and Q are two points whose co-ordinates are (at', 2at) and (a/t^2 , 2a/t)
respectively and S is the point
(a,0). Show that(1/SP +1/SQ)
SO
is independent of t.
ANSWERS​

Answer: There are no real solutions

Answer:

About -3.5

Step-by-step explanation:

x^2 - 2^2 = -16

x^2 - 4 = -16

x^2 = -12

x = the square root of -12

x is about - 3.5

Answer:

1. 13

2. 18

If I'm wrong please let me know

Answer:

y= -4

Step-by-step explanation:

Edge 2020 :)

Answer:

The slope is [tex]\frac{1}{-2}[/tex]

Step-by-step explanation:

Hope this helps, and it will also be, in longer & greater terms: [tex]y= \frac{1}{-2}x + 2[/tex].

I hope my answer is also correct.

Answer:

-1/2

Step-by-step explanation:

The answer is -1/2 because of rise over run.

A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.

Answer:980,507

Step-by-step explanation:

Answer:

980,507

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Step one:

given data

total ounces=500,000

cost per ounce= $460

total amount of the ounce= 500,000*460= $230000000

Time t=3years

rate= 5.17%= 0.0517

Step two:

The inflation we have a compounding effect on the amount

$230000000

A=P(1+r)^t

A=230000000(1+0.0517)^3

A=230000000(1.0517)^3

A=230000000*1.1632

A=$267,536,000

They will receive a total of  $267,536,000

Answer:

8 interior angles

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

lmk if I'm wrong, but I shouldn't be

9514 1404 393

Answer:

  110 units

Step-by-step explanation:

Fill in the given value and solve for x.

  c = x^2 -10x +35

  11035 = x^2 -10x +35

  11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square

  x = 5 +√11025 = 5 +105 . . . . find the positive solution

  x = 110

The number of units manufactured at a cost of 11,035 is 110 units.

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

Let the figure number be x.

Then the equation will be:

3x

There will be 3x circles in the figure number x.

So, number of circles in 50th figure will be

= 3(50)

= 3 × 50

= 150 circles

The number of circles in the 50th figure is 150 circles.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Here a pattern is shown in the form of the circles.

In the Figure 1, there are 3 circles.

In the figure 2, there are 6 circles.

In the figure 3, there are 9 circles.

It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.

So for the nth figure,

Number of circles will be 3n.

So for 50th figure, number of circles = 3 × 50 = 150 circles

Hence the number of circles in the 50th figure is 150.

Learn more about Sequences here :

https://brainly.com/question/30262438

#SPJ2

Answer:

C. 60

Step-by-step explanation:

You can take away 120 instantly because that angle is acute. This leaves you with A, B, and C. It's most certainly too big to be C. By this point you can look at it and draw a 90 degree angle in your mind and you can see that it looks about 2/3 of a 90 degree angle.

May I have brainliest please? :)

Answer:

C=0.15y+7.89

Step-by-step explanation:

The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We define a linear equation. Equations of degree 1 are linear equations. It is the straight line's equation. A linear equation with parameters a and b equal to zero has the conventional form ax+by+c = 0.

When two linear expressions are equal, there is a linear equation in one variable. Or, to put it another way, a graph would be one method of solving this equation.

Given ,

Average price of movie ticket =$7.89

Increased average tickets =$0.15

So Simplifying the equation is

C=0.15y+7.89

Therefore The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89.

To learn more about Linear equation refer to:

https://brainly.com/question/2030026

#SPJ2

Answer:

2 < x < 4

Step-by-step explanation:

Answer:

It’s confusing

Step-by-step explanation:

Answer:

179.59 m³

Step-by-step explanation:

Formula for sphere volume: V=4/3πr^3

Answer:

The graph of the solution to inequality is shown in the attached figure.

Step-by-step explanation:

Considering the inequality

[tex]b< 6[/tex]

As this inequality could simply further

so

[tex]b<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:b<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

As the interval notation indicates that b is less than 6, hence 6 will not be included on the graph.

Therefore, the graph of the solution to inequality is shown in the attached figure.

Answer: (0,6)

The y-int is 6

Answer:

I got 77c+21

Step-by-step explanation:

Answer:

77c + 21

Step-by-step explanation:

7(11c + 3)

= 7*11c + 7*3

= 77c + 21

Answer: -4/15

Step-by-step explanation: To add these two fractions together,

we start by finding their Least Common Denominator (LCD).

Since our denominators of 5 and 3 have no factors in common,

our least common denominator is 5 · 3 or 15.

In order to get a denominator of 15 in each fraction,

we multiply top and bottom of the first fraction by 3

and top and bottom of the second fraction by 5.

That gives us -9/15 + 5/15 which simplifies to -4/15.

As your last step, make sure that the fraction

that you end up with doesn't reduce.

In this case, -4/15 does not reduce but watch out for this last step.

Answer:

20%

Step-by-step explanation:

To find the percent decrease, we do old number subtracted from the new numbers over old.

We do

40 - 32 = 8

Then we put the 8 over the old and get

8/40

In percentage form it would be 20%

Answer:

5 [tex]\frac{1}{2}[/tex]  

Step-by-step explanation:

[tex]2\frac{4}{5}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]2\frac{8}{10}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]5\frac{15}{10}[/tex] = [tex]6\frac{1}{2}[/tex]  

12 - [tex]6\frac{1}{2}[/tex] = (12 - 6) - [tex]\frac{1}{2}[/tex] = 6 - [tex]\frac{1}{2}[/tex] = 5 [tex]\frac{1}{2}[/tex]

Answer: The answer is C.

Step-by-step explanation:

Remember that the formula for the area of a rectangle is [tex]lw[/tex]. This gives you 12x as the length and 4+x as the width. You just need to multiply those two number together, and you get 12x(4+x) which is C.

Answer:

Step-by-step explanation:

If MQ also bisects angle ∠LMP, then;

<LMQ + <QMP = <LMP

Also <LMQ = <QMP

The equation becomes <QMP + <QMP = <LMP

2<QMP = <LMP

Let <LMP be 8x+40° (This is an assumed value)

2(5x+10) = 8x+40

Open the parenthesis

10x+20 = 8x+40

10x-8x = 40-20

2x = 20

x = 20/2

x = 10

Find <QMP

Since <QMP = 5x+10

<QMP = 5(10)+10

<QMP = 50+10

<QMP = 60 degrees

Note that the angle <LMP was assumed. Any other function can be used depending on the question

Answer:

The answer is letter A.

-7+3(-4e-3)

−7+3((−4)(2.718282)−3)

=−48.619382

-4(3e+4)

−4((3)(2.718282)+4)

=(−4)((3)(2.718282)+4)

=(−4)((3)(2.718282))+(−4)(4)

=−32.619382−16

=−48.619382

Answer:

8

Step-by-step explanation:

Answer:

y=5x+(-19)

Step-by-step explanation:

Refer to the picture that given

Answer:

The measure of F is C)60

Step-by-step explanation:

YOu have to subtract 116 from 180 an you should get 64. SO 64 is the other angle inside of the trianlge. You add 64 and 56, you get the answer 120. You subtract 120 from 180 and you get the answer 60. The measure of angle F is 60.

Answer:

Step-by-step explanation:

There are three rules in mathematics that help us solve this problem:

So, we have that the angle opposite the vertex to the angle that measures 116 ° must measure the same: 116 °

So, we have two angles of 116°, so we add, 116 + 116 = 232

360 - 232 = 128

The other two opposite angles (of which one is an internal angle of the triangle) add up to 128

Since they are opposite by the vertex, they measure the same, so we divide by two and it gives us the value of each one:

128/2 = 64

So, if we know by the second rule, 64 + 56 + f = 180

We resolve:

120 + f = 180

(120 + f) - 120 = 180 -120

f = 60