The point P(7, −3) lies on the curve y = 3/(6 − x). (a) If Q is the point (x, 3/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 mPQ = 1

Answers

Answer 1

Answer:

The right answer is "3.33333".

Step-by-step explanation:

The given points in the question are:

[tex]P=(7,-3) = (x_1,y_1)[/tex]

[tex]Q=(x,\frac{3}{6-x} )=(x_2,y_2)[/tex]

Now,

The slope of PQ will be:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By putting the values, we get

= [tex]\frac{\frac{3}{6-x}+3 }{x-7}[/tex]

= [tex]\frac{3+18-3x}{(6-x)(x-7)}[/tex]

= [tex]\frac{21-3x}{(6-x)(x-7)}[/tex]

= [tex]\frac{3(x-7)}{(6-x)(x-7)}[/tex]

= [tex]\frac{3}{x-6}[/tex]

hence,

x = 6.9

it's slope will be:

= [tex]3.33333[/tex]


Related Questions

Please help ASAP!!!
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?

Answers

Answer:

it will decrease by 60% I think

Step-by-step explanation:

Lets use the example 100/100 and do the thing you get 50/125=40%.

Answer:

[tex]33\frac{1}{3}[/tex]%

Step-by-step explanation:

We can use a random fraction with numbers that make this problem easier to calculate. We can start with the fraction [tex]\frac{1}{1}[/tex] (1). If its numerator is decreased by 50% and its denominator is decreased by 25%(75% of it), the new fraction will be [tex]\frac{0.5}{0.75}[/tex] , which is the same as 2/3

The percent decrease from 1 to 2/3 is 33.333....% or [tex]33\frac{1}{3}[/tex]%.

You can use variables to solve this problem, but I find it easier to start with the fraction [tex]\frac{1}{1}[/tex] for calculation purposes.

If −12 − 2x = −42, then 3x = _____?

Answers

Answer:

-2x =-42+12

-2x =-30

x =15

3x=15×3

=45

In Circle P, EP = 2, PG = 12, and FP = 4.
What is the measure of PH?
A) 10
B) 16
C) 6
D) 8

Answers

Answer:

6

Step-by-step explanation:

FP * PH = GP * EP

If  EP = 2, PG = 12, and FP = 4.

Then 4 * PH = 12 * 2

4 * PH = 12 * 2

step 1 simplify

4 * ph = 4PH

12 * 2 = 24

we now have 4PH = 24

step 2 divide each side by 4

4PH / 4 = PH

24 / 4 = 6

we're left with PH = 6

Why might you use the commutative property to multiply (-4) × 5?

Answers

Answer:

answer will be same -20

Step-by-step explanation:

because (-4)×5 is same as 5×(-4)

Is this a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

it has a 90 degree angle

PLEASE ANSWER!!! DUE TOMORROW!!

Answers

the top one is the answer

please someone help me with this

Answers

Answer:

260 cm³

Step-by-step explanation:

Full surface area:

S = 3(6*10) + 2(1/2*8*10) = 260 cm³

Answer:

Surface Area = Surface Area of triangle + SA of rectangle

Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10

Surface Area = 3 × 60 + 80

Surface Area = 180 + 80

Surface Area = 260 cm ³

[tex] \\ [/tex]

Someone please help :0

Answers

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

Answer:

Step-by-step explanation:

8m +95 < -87m +5

8m +87m < 5-95

95m < -90

m < -90/95

m < -18/ 19

Determine the missing side length of the triangle please and thank you!

Answers

Answer:

90

Step-by-step explanation:

It is a right angle

Answer:

8.944

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]

Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39

Answers

The number is 18 ………,,……..
18 because if it’s jumping by 7 you would just add seven

Select the best name for this figure.
D
AC = BD
B
A. Rectangle
B. Rhombus
C. Square

Answers

Answer:

A

I hope this will help you.

Sixty five students picked up trash on clean up day. Each student filled 5 bags of trash. Which equation could be used to find the total number of trash bags filled

Answers

Answer:

65 x 5 = 325

Step-by-step explanation:

Find the missing hypotenuse

Answers

Answer:

13

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +5^{2} =c^{2} \\13 = c[/tex]

Answer:

13

Step-by-step explanation:

5 raised 2 = 25

12 raised to 2 = 144

144 + 25 = 169

Square root of 169 = 13

Therefore the hypotenuse is 13 :)

Which value is equivalent to
3/11?
OA A. 0.27
O
B. 0.27
OC
C. 3.6
OD. 3.

Answers

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.27

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.27 I am guessing you can chose!

Hope this helps!

PLEASE HELP WITH GEOMETRY!!

Answers

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.​

Answers

Step-by-step explanation:

Let b is breadth and l is length of the cuboid such that,

Length, l = 3b and l = 2h

or

h = l/2

We know that, the volume of a cuboid box is given by :

V = lbh

Put all the values,

[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]

Breadth, b = 16.5/3 = 5.5 cm

Height, h = 16.5/2 = 8.25 cm

Hence, this is the required solution.

PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT

Answers

From what I can tell from this problem, 130° and y° look to be both on the same 180° horizontal line. To find what y is, you just gotta subtract 130 from 180 and you get 50°. So y° is really, 50°.

Now for the x°. Even though we don't know what the numbers add up to in this diagram, let's assume since all triangles add up to 180° (and quadrilaterals are comprised of two triangles), that all angles of this quadrilateral are supposed to equal 360°. All you have to do is add the 123°, 60°, and 50° together to get 233°, now just subtract 233° from 360°, and your answer is 127°.

By the way my math might be a little off but I hope this helps you understand it. I hope.

15. Use the Pythagorean Theorem to find the missing
measure.
26 cm
a
24 cm
a.
b.
2 cm
100 cm
10 cm
d. 35.38 cm
c.

Answers

Answer:

The missing figure is 26 cm.

Step-by-step explanation:

The Pythagorean theorem consists of a formula [tex]a^2+b^2=c^2[/tex]

Therefore, the missing figure is 26 cm.

Need help plz
I will mark brainlist


Express all trigonometry metrics ratio In term tan a​

Answers

Answer:

sinθ=cscθ1 =csc2θ 1 =1+cot2θ 1 =1+tan2θ1 1 =tan2θ1+tan2θ 1 =1+tan2θ tanθ

cosθ=secθ1 =sec2θ 1 =1+tan2θ 1

cotθ=tanθ1

cscθ=csc2θ =1+cot2θ =1+tan2θ1 =tan2θtan2θ+1 =tanθ1+tan2θ

secθ=sec2θ

A cell phone company offers two texting plans to its customers. The monthly cost, y dollars, of plan A is
y =0.16x +9, where x is the number of texts. The cost of plan B is shown in the table. Drag and drop the
correct option into the box to make the statement true.

Answers

Answer: plan B is cheaper

Step-by-step explanation:

Help quick please !!!!!!!

Answers

Answer: y=3x

Step-by-step explanation:

Remember rise over run so go up until the next perfect cross and over. In this case you go up 3 and over 1

Hope this helps

The answer is y=3x lololdjjdjd

Someone help me with number 5 ASAP please and thank you

Answers

Answer:

70

Step-by-step explanation:

Find the area. Round any decimals to the nearest tenth

Answers

Answer:

1.4

Step-by-step explanation:

Since we're finding the area, we need to multiply 1.2 times 1.2, which would give us 1.44, and since it says to round to the nearest tenth, we need to round it. If the number is 4 or under, we round down, if it's 5 and up we round up. In this case, we round down- so we end up with 1.4.

Answer:

A = L x 4

1.2cm x 4 = 4.8 cm^3

.................

Find the common difference for an arithmetic series with
a1=5 and S10 = 320.

Answers

Answer:

6

Step-by-step explanation:

Let [tex]n = a_{10}[/tex]. We know the formula for the sum of an arithmetic sequence is:

[tex]S_{n} = \frac{n(a_{1}+a_{n} )}{2}[/tex]

Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:

[tex]320=\frac{10(5 + n)}{2}[/tex]

[tex]640=10(n+5)\\64=n+5\\n=59[/tex]

The formula to find the nth term of an arithmetic series is:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Where d is the common difference. Again, we can plug in what we have;

[tex]59 = 5 + 9d\\9d = 54\\d = 6[/tex]

Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units

Answers

the answer is c18.71

can somebody help me pleaseeee, this is due at the end of the day! no links please!​

Answers

Answer:

You can tell that y=2 when x=4 by looking at the graph

Answer:

y = 2

Step-by-step explanation:

The equation is y = -x+6

Substituting 'x = 4' into this

y = -4+6

Hence, y = 2 when x =4

Feel free to mark this as brainliest :D

4+2(17-12) !!!!!!!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

Use Pemdas

Solve in parentheses:

17 - 12 = 5

Multiplication:

2 * 5 = 10

Addition:

10 + 4 = 14

Answer is 14

Answer: 14

Steps:

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

Calculate within parentheses (17 − 12 ) : 5

[tex]=4+2\cdot \:5[/tex]

Multiply and divide (left to right) 2 · 5 : 10

[tex]=4+10[/tex]

Add and subtract (left to right) 4 + 10 : 14

=14

#[tex]AnimePower[/tex]

In circle 0 points P, Q, and R lie on the circle. Which of the following would not be a chord
of the circle?
OP
QP
RP
QR

Answers

Answer:

OP

Step-by-step explanation:

A chord is a segment whose extremes lie on the circumference

OP is a radius because has an extreme that is the center of the circumference and a radius is not a chord

i think the answer is OP. good luck

Please help me! i have to find the cube root

Answers

Answer: 7/4

Step-by-step explanation:

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

How would this look in standard notation??

Answers

68000. The reason this is the answer is because you have to move the decimal point to the right 3 times since it’s x3
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