Look at the image. (calculus)

Answer:

12. √197

13. √89

14. 2√10

15.  (-3, 2)

16. (3/2, 0)

17. (2, -8)

18. 21

Step-by-step explanation:

12. Point 1: (-8, -2); Point 2: (6, -1)

d = √(x2 - x1)² + (y2 - y1)²

d = √(6 - (-8)² + (-1 - (-2)²

d = √(14)² + (1)²

d = √196 + 1

d = √197

13. Point 1: (-4, 5); Point 2: (4, 0)

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - (-4))² + (0 - 5)²

d = √(8)² + (-5)²

d= √64 + 25

d = √89

14. G: (-2, -3); H: (0, 3)

d = √(x2 - x1)² + (y2 - y1)²

d = √(0 - (-2))² + (3 - (-3))²

d = √(-2)² + (6)²

d = √4 + 36

d = √40

d = √4 x 10

d = 2√10

15. Point 1: (-1, -5); Point 2: (-5, 9)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (-1 + (-5)/2, (-5 + 9)/2

Mid = (-6)/2, (4)/2

Mid = (-3, 2)

16. Point 1: (7, -2); Point 2: (-4, 2)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (7 + (-4)/2, (-2 + 2)/2

Mid = (3)/2, (0)/2

Mid = (3/2, 0)

17. M:(-3, -1); Y:(-8, 6), X: (X, y)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

X      = ((-8 + x2))            ,((6 + y2))

                ÷      = -3              ÷           = -1

                2                          2

To get rid of the 2 multiply the 2 by -3 for X and -1 for Y

X = ((-8 + x2))                      ,((6 + y2))

             ÷       = -3(2)                 ÷         = -1(2)

           2(2)                              2(2)

X = (-8 + x2) = -6, (6 + y2) = -2

           +8          +8,   -6             -6

X2 = 2, Y2 = -8

X: (2, -8)

18. QR = 8x - 51; RS = 3x - 6

8x - 51 = 3x - 6

-3x         -3x

5x - 51 = -6

     + 51   +51

5x = 45

÷5    ÷5

x = 9

QR = 8(9) - 51

QR = 72 - 51

QR = 21

RS = 3x - 6

RS = 3(9) - 6

RS = 21

(QR + RS)/2

(21 + 21)/2

42/2 = 21

QS = 21

I really hope this helps!

Answer:

(x+3)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

Follow the standard form of a circle, (x-h)^2 + (y-k)^2 = r^2, given that (-3,7) is (h,k) and 2 is r.

Answer:

-2

Step-by-step explanation:

Slope equals rise over run. The line goes forwards by two and down by 4 between the two charted points, so the slope would be -4/2 or -2.

Answer:

Slope is 2, and the y-intercept is (0, 4).

Step-by-step explanation:

-2x+y=4

y=4-(-2x)

y=4+2x

y=2x+4

y=mx+b where m=slope and b=y-intercept,

m=2 and b=(0, 4).

Step-by-step explanation:

[tex] \frac{d}{dx} {e}^{x} \cos(x) = {e}^{x} cos(x) - {e}^{x} \sin(x) [/tex]

Answer:

y = -10

Step-by-step explanation:

To find the y-intercept, substitute x=0.

y= (0+2)(0-5)

Then, solve the equation for y.

y = -10

Step-by-step explanation:

15 long

12 wide

10 high

we need all for walls

hight times length two times ( these are the front and back walls )

hight times width two times ( These are the side walls )

the roof is

width times length (only once as only the ceiling)

same measurement as the floor

can you work it out with that

please mark brainiest

Answer:

You are correct.

Step-by-step explanation:

This is a semi circle. The central angle is 180 so the according to Thales Theorem, the angle that is opposite of the diameter is 90 degrees.

A triangle has at max 180 degrees So

[tex]180 - 90 - 60 = x[/tex]

[tex]30 = x[/tex]

So the angle is 30

Answer:

x = 128

Step-by-step explanation:

49 + x + 3 = 180

52 + x =180

x + 52 = 180

x + 52 - 52 = 180 - 52

x = 128

Answer:

128

Step-by-step explanation:

49+(x+3)=180

49+x+3=180

52+x=180

x=180-52

x=128

Answer:

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Step-by-step explanation:

[tex]f(x)=-x^3-8x^2-9x+11[/tex]

When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.

Therefore, substitute -x in place of x in the function f(x):

[tex]g(x)=-(-x)^3-8(-x)^2-9(-x)+11[/tex]

We know that [tex](-x)^3=-(x^3)[/tex]

[tex]\implies -(-x)^3=--(x^3)=x^3[/tex]

We know that [tex](-x)^2=x^2[/tex]

[tex]\implies -8(-x)^2=-8(x)^2=-8x^2[/tex]

Also [tex]-9(-x)=+ \ 9x[/tex]

Therefore,

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Answer:

12

Step-by-step explanation:

Put numbers in order from least to greatest.

8,8,9,9,10,11,13,14,14,14,15,16.

Find the number in the middle.

Because 12 is an even number we have to take the two middle numbers, in this case 11 and 13, add them and then divide that number by 2.

11+13= 24

24 ÷ 2 =12

So the median weight is 12.

Answer:

Step-by-step explanation:

The first thing you do is put the numbers least to greatest and the middle is your answer hope you get a good grade

Answer: Option (a) x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.

The solution to the inequality is x > 1/6

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

-2(8x - 4) < 2x + 5

On simplifying , we get

-16x + 8 < 2x + 5

Subtracting 2x on both sides , we get

-18x + 8 < 5

Subtracting 8 on both sides , we get

-18x < -3

Multiply by -1 on both sides , we get

18x > 3

Divide by 18 on both sides , we get

x > 1/6

Hence , the solution is x > 1/6

To learn more about inequality equations click :

https://brainly.com/question/11897796

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Answer:

8

Step-by-step explanation:

use second equation because it contains values as {4,5,6}

in other to get X to be 3 we have to divide 6 by 2 and replace in the equation

f (6÷2)= -(6÷2)+11

=-3 +11

=8

Answer:

Step-by-step explanation:

The sum of the polynomials (-x2 + 9) + (-3x2 - 11x + 4) is -4x2 - 11x - 5.

Answer:

400000

Step-by-step explanation:

The first significant figure of a number is the first digit which is not zero.

The second significant figure of a number is the digit after the first significant figure.

Steps:

Step 1: 389528 (the original number has 6 sig figs)

Step 2: 400000 (rounded to 1 significant figures)

[RevyBreeze]

Answer:

5n(2n^2-7n+5)

Step-by-step explanation:

Answer:

cos(x)

Step-by-step explanation:

[tex]Remember: sin(x) = \frac{1}{csc(x)}[/tex]

[tex]\frac{cos(x)}{sin(x) *csc(x)}[/tex]    OG Question

[tex]\frac{cos(x)}{\frac{1}{csc(x)} *\frac{csc(x)}{1} }[/tex]  Convert [tex]sin(x) = \frac{1}{csc(x)}[/tex]

[tex]\frac{cos(x)}{1 }[/tex]  Cross multiply and cancel out. Equals to one.

[tex]cos(x)[/tex] Anything divided by 1 is itself. You have your answer.

Hope this makes sense. Lmk if you need more help.

Answer:

2√5

Step-by-step explanation:

(1/2) √80

Figure out the biggest number that can be squared by 80 in this case it's 16

(1/2) √(16 x 5)

since the square root of 16 is 4 put the 4 on the outside and leave 5 in since it can't be squared.

(1/2) 4√5

multiply (1/2) by 4 which equals 2

2√5

I hope this helps!

-4(v+1)

hope this works i looked it up and this is what i got

Answer:

-4( v+1)

Step-by-step explanation:

(-12v + 3) + (8v - 7)

-12v + 3 + 8v - 7

-4v - 4

-4 (v+1)

Answer:

-9 is rational

5/8 is rational

30/sqrt of 25 is rational

sqrt 70 is irrational

pi is irrational

Step-by-step explanation:

rational number: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.  A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions. Rational numbers are terminating decimals, but irrational numbers are non-terminating. Irrational Numbers Definition An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

Hope this helps mark brainliest please :)

Answer:

No they are not.

Step-by-step explanation:

Without the angels, imagine flipping over one of the triangles and overlapping them. They may be the same shape, but they are different sizes.

Answer:

x3−4x2−11x−6

Stp-by-step explanation:

(1+x)(x2+−5x+−6)

=(1)(x2)+(1)(−5x)+(1)(−6)+(x)(x2)+(x)(−5x)+(x)(−6)

=x2−5x−6+x3−5x2−6x

=x3−4x2−11x−6

Answer:

4 + 6 = 10

6 + 4 = 10

10 - 4 = 6

10 - 6 = 4

Step-by-step explanation:

Answer:

mass production, application of the principles of specialization, division of labour, and standardization of parts to the manufacture of goods.

Answer:  y = 2000(0.78)^t

This is the same as writing [tex]y = 2000(0.78)^t[/tex]

=====================================================

Explanation:

The answer above is in the form y = a*b^t

a = initial price = 2000 dollars

b = decay factor = 0.78

We have a decay factor because 0 < b < 1 and because the price decreases. The 0.78 is from the computation of 1 - 0.22 = 0.78

Meaning that if the price goes down 22%, then we keep the remaining 78%

So each year, the laptop keeps 78% of its previous price after losing 22%.

Answer:

180 pound

Step-by-step explanation:

the value of 12%

much steel will the new car model use is 180 pound

Answer:

14.58 m3

Step-by-step explanation:

here, breadth (b) = 4cm

length (l) = 6cm

volume (v) = 350cm3

height (h) = ??

we know, volume of cuboid=

length × breath× height

or, v = L× B × H

or, 350 = 6 × 4 × H

or, 350 = 24 × H

or, 350/25 = H

or 14.58 = H

therefore, H = 14.58cm3

The given expression when written in standard form gives; 10.1 * 10⁴

A number written in standard form is usually as A * 10ⁿ

where;

A is a number bigger than or equal to 1 and less than 10

Now, we are given;

(6.3 * 10⁴) + 38000

⇒ (6.3 * 10⁴) + (3.8 * 10⁴)

Using distributive property of equality, we have it in standard form as;

(6.3 + 3.8) * 10⁴

⇒ 10.1 * 10⁴

Read more about standard form at; https://brainly.com/question/17939013