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

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:

Answer:

answer will be same -20

Step-by-step explanation:

because (-4)×5 is same as 5×(-4)

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]

Answer:

A

I hope this will help you.

Answer:

Step-by-step explanation:

Full surface area:

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]

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!

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.

Answer:

-2x =-42+12

-2x =-30

x =15

3x=15×3

=45

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 :)

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

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

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

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

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

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

Answer:

65 x 5 = 325

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

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.

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.

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.

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]

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

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

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]

Answer:

yes

Step-by-step explanation:

it has a 90 degree angle

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

Answer: plan B is cheaper

Step-by-step explanation:

the top one is the answer