Find the distance d(A,B) between points A and B.
A(1. - 6); B(1,7)

Answer:

x = 8

Step-by-step explanation:

AN = NC,

4x - 7 = 5x -15,

-7 = x -15,

8 = x

Using function concepts, it is found that:

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The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]B = \frac{703w}{h^2}[/tex]

-------------------------------

Item a:

To solve the formula for w, we isolate w in the equation above, thus:

[tex]B = \frac{703w}{h^2}[/tex]

[tex]703w = Bh^2[/tex]

[tex]w = \frac{Bh^2}{703}[/tex]

-------------------------------

Item b:

The weight is:

[tex]w = \frac{21.45(64)^2}{703} = 125[/tex]

The weight is of 125 pounds.

A similar problem is given at https://brainly.com/question/5123313

Answer:

280cm^2

Step-by-step explanation:

[tex]area \: of \: rhombus = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 35cm \times 16m \\ = 280 {cm}^{2} [/tex]

Answer:

280

Step-by-step explanation:

→ State the rhombus formula

( p × q ) ÷ 2

→ Substitute in the values

( 35 × 16 ) ÷ 2

→ Simplify

280

Answer:

10 remainder 0

Step-by-step explanation:

60/8 = 7.5

6/6 = 10 remainder 0

Answer:

9 sec

Step-by-step explanation:

because it decends 12 feet evry second so the answer is nine sec

Answer:

4-10.5

5-no because the nearest thousandth is not 5 or more

6- Tu is correct because the tenth is 6 which is more than 5 so it can be rounded up to $79

[tex]\displaystyle \lim_{x\to 0}\left(\frac{2x\ln \left(1+3x\right)+\sin \left(x\right)\tan \left(3x\right)-2x^3}{1-\cos \left(3x\right)}\right)[/tex]

Both the numerator and denominator approach 0, so this is a candidate for applying L'Hopital's rule. Doing so gives

[tex]\displaystyle \lim_{x\to 0}\left(2\ln(1+3x)+\dfrac{6x}{1+3x}+\cos(x)\tan(3x)+3\sin(x)\sec^2(x)-6x^2}{3\sin(3x)}\right)[/tex]

This again gives an indeterminate form 0/0, but no need to use L'Hopital's rule again just yet. Split up the limit as

[tex]\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} + \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} \\\\ + \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} + \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} \\\\ - \lim_{x\to0}\frac{6x^2}{3\sin(3x)}[/tex]

Now recall two well-known limits:

[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax}=1\text{ if }a\neq0 \\\\ \lim_{x\to0}\frac{\ln(1+ax)}{ax}=1\text{ if }a\neq0[/tex]

Compute each remaining limit:

[tex]\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{\ln(1+3x)}{3x} \times \lim_{x\to0}\frac{3x}{\sin(3x)} = \frac23[/tex]

[tex]\displaystyle \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\frac{1}{1+3x} = \frac23[/tex]

[tex]\displaystyle \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\cos(x)}{\cos(3x)} = \frac13[/tex]

[tex]\displaystyle \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\sin(x)}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\sec^2(x) = \frac13[/tex]

[tex]\displaystyle \lim_{x\to0}\frac{6x^2}{3\sin(3x)} = \frac23 \times \lim_{x\to0}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}x = 0[/tex]

So, the original limit has a value of

2/3 + 2/3 + 1/3 + 1/3 - 0 = 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

Q1 . (f+g)(x) = f(x) + g(x)

=4x-4 +2x^2 -3x

= 2x^2 + x -4

Q2. (f-g)(x) = f(x) - g(x)

= 2x^2−2 - (4x+1)

= 2x^2 -2 -4x -1

= 2x^2 - 4x -3

Q3. h(x)=3x−3 and g(x)=x^2+3

(h.g)(x) = h(x) × g(x)

= (3x-3) × (x^2 + 3)

=3x^3 -3x^2 + 9x -9

Q4.f(x)=x+4 and g(x)=x+6

(f/g)(x) = f(x) ÷ g(x)

= x+4 / x+6

the domain restriction is x>-6

x<-6

x doesn't equal (-6)

If the two function f(x) and g(x) are to be combined, use basic arithmetic rules,

(f + g)(x) = f(x) + g(x)

(f - g)(x) = f(x) - g(x)

[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

(f . g)(x) = f(x) × g(x)

Question 1

f(x) = 4x - 4 and g(x) = 2x² - 3x

[tex](f+g)(x)=f(x)+g(x)[/tex]

Therefore, [tex](f+g)(x)=(4x-4)+(2x^2-3x)[/tex]

                                   [tex]=2x^2+x-4[/tex]

Question 2

f(x) = 2x² - 2 and g(x) = 4x + 1

Since, (f - g)(x) = f(x) - g(x)

Therefore, (f - g)(x) = (2x² - 2) - (4x + 1)

                               = 2x² - 2 - 4x - 1

                               = 2x² - 4x - 3

Question 3

h(x) = 3x - 3 and g(x) = x² + 3

Since, (h - g)(x) = h(x) - g(x)

Therefore, (h - g)(x) = (3x - 3) - (x² + 3)

                                = 3x - 3 - x² - 3

                                = -x² + 3x - 6

Question 4

F(x) = x + 4 and g(x) = x + 6

Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

Therefore, [tex](\frac{f}{g})(x)=\frac{x+4}{x+6}[/tex]

Learn more,

https://brainly.com/question/7447002

Hey there!

Just do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (7 - 1)^2 / 20 - 9 * 2

= 8 + 6^2/ 20 - 9 * 2

= 8 + 36/10 - 9 * 2

= 8 + 9/5 - 18

= 49/5 - 18

= - 41/5

Therefore, your answer is:

-41/5 ≈ 8 1/5 or 8.2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

-3

Step-by-step explanation:

Bring -2 to the other side and A to the other side

-2 Become 2 because of flipping

And A becomes -A because of flipping

2-2+3=-A

Flip the whole equation to avoid confusion

-A=2-2+3

-A=+3

Bring the minus sign to the other side,

A=-3

-3 -2 +3 = - 2

Which make the statement correct.

I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Answer: A = -3

Step-by-step explanation:

A - 2 + 3 = -2

...............+2..............

..... A + 3 = 0

................-3..............

............ A = -3

Explanation:

There's a 9 in the thousandths place. The next digit to the right is 1, which is not 5 or more. So we'll just drop that 1 and that's why the answer is 3.569

Answer:

3.569

Step-by-step explanation:

Rounding is the process of shortening a number to a certain number of digits by finding the closest number with the desired number of digits. When rounding, look one digit to the right of the desired decimal place. In this case, you want the thousandths place. The thousandths place is 3 digits after the decimal, so look at the number next to the 9, the 1. If the number is 5 or greater round up, if it is 4 or less round down. Therefore, 3.5691 should be rounded down to 3.569.

Other examples include,

4.8736 being rounded up to 4.874

6.3168 being rounded up to 6.317

9.7340 being rounded down to 9.734

Answer:

below

Step-by-step explanation:

this is very simple one I don't study mathematics but also know this

-18<-15<-5<0<9<18

Answer:

the top one is 30 the second one is 60.22 the third one is 66.7 the forth one is 59.8

Answer:

Yes.

Step-by-step explanation:

While there are no labels to be COMPLETLY sure, they both APPEAR to be 90 deg, which checks out as they APPEAR to combine to make a straight angle.

Hope this helps!

Answer:

5).

According to the question,

CD+DE=CE

2+13=2x-3

15=2x-3

15+3=2x

18=2x

18/2=x

8=x

6).

According to the question,

AB+BC=AC

5x-16+3x-6=2x+20

8x-22=2x+20

8x-2x=20+22

6x=44

x=44/6

x=7.33

Step-by-step explanation:

......

Step-by-step explanation:

DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

1) 6n+9

2) -309

Step-by-step explanation:

Let say 2n+1,2n+3,2n+5 the three consecutive odd numbers (n in Z)

1) sum= (2n+1)+(2n+3)+(2n+5=6n+9

2) 2n+5=-101

2n=-106

n=-53

S=6n+9=6*(-53)+9=-309

Answer:

-5

Step-by-step explanation:

put the 10 on the other side of the = wich will change it to -10 then do -10/2 and x2/2 to get x=-5

Answer:

385.3369[tex]\pi[/tex]

Step-by-step explanation:

385.3369[tex]\pi[/tex]

Answer:

LN = 12

Step-by-step explanation:

L______M_____N

LM = x+3

MN = 2x

LN = 4x

M is the midpoint of LN

LN= ?

LM + MN = LN

x + 3 + 2x = 4x

x + 2x + 3 = 4x

3x + 3 = 4x

-3x         -3x

----------------------

3 = 1x

/1    /1

----------------------

3 = x

LN = 4x

= 4 (3)

= 12

LN = 12

Answer:

LN = 12

Step-by-step explanation:

If LM = X+3, MN = 2x, LN = 4x, and M is between L and N, then LN = 12.

is 4.23 less than 4.135

its not its larger

[tex]\large \mathfrak{Solution : }[/tex]

Answer:

C=78

D=102

Step-by-step explanation:

co-interior angles are sepplementary

Answer:

35% of 150=52.5

20% of 50=10

10% of 20=2

45% of 200=90

Answer:

Step-by-step explanation:

1) What will you get if you add a number to 3?

2) Cost of a pen is $2. What is the cost of x pens?

3) y less than 5

4) What is quotient of n and 4?

5) What is the sum of 10 and t ?

6) Product of 3 and s

1*a sum of number and three

2*the product of two and a number

3*the difference of a number and five

4*the ratio of number and four

5*a sum of number and ten

6*the product of a number and three

O Hope it helps*

Answer:

If you have a calculator with a "Y^X" function, you can raise 27 to the (1/3) power to get the cube root. Or, take the logarithm of 27, divide it by 3, and then find the anti log. That is, find the base 10 log of 27, divide it by three, and then compute 10 ^ that number. (Or of course you can use the base e log and raise e to the number.)

If you are willing to get into complex numbers, you can find that there are actually three cube roots of 27. One of them is 3. To find the other two, use de Moivre's formula (from Wikipedia):

If z is a complex number, written in polar form as

then the n nth roots of z are given by

where k varies over the integer values from 0 to n − 1.

This formula is also sometimes known as de Moivre's formula.

This leads to the two complex roots,

3 x ( (cos 120 degrees) + i x sin(120 degrees) ) and

3 x ( (cos 240 degrees) + i x sin(240 degrees) ).

These work out to be approximately:

3 x (-0.5 + i x 0.866) and

3 x (-0.5 - i x 0.866).

Step-by-step explanation:

[tex]Hello[/tex] [tex]There![/tex]

There is simple no way, for me to answer this.

Because, this answers doesn't exist. :)

[tex]AnimeVines[/tex]