The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

-64/7 = b

So, m is -12/7 and b is -64/7

The linear function is given by:

[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]

Where:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the points are (−10,8) and (−3,-4).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{-4 - 8}{-3 - (-10)} = -\frac{12}{7}[/tex]

Hence:

[tex]y = -\frac{12}{7}x + b[/tex]

It goes through point (−3,-4), hence when [tex]x = -3, y = -4[/tex], which is used to find b.

[tex]y = -\frac{12}{7}x + b[/tex]

[tex]-4 = \frac{36}{7} + b[/tex]

[tex]b = -\frac{64}{7}[/tex]

Hence, the equation is:

[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]

You can learn more about linear functions at https://brainly.com/question/24808124

Answer:

The correct answer 8486.

Step-by-step explanation:

Given:

Troy - P pr principle amount = 10000

rate = 9%

time = 60-22 = 38

intrest at every three months so time = t = 38*4 = 132

Nicohlas

P = x

rate = 10%

time = 60 -45 = 15

every month compounded = 15*12=180

solution:

the formula of compound intrest = P (1 + r/n)^(nt)

where n = number of counded intrests per year

puting formula for troy=

10000 (1+9/4)^132

= 294,322.96 .....1

now for nicolas

I = x(1+10/12)^180

x = 294,322.96/(1+10/12)^180

= 8486.

Answer: (0;2)

3x + 2y = 4 | * (-5)

4x + 5y = 10 | * 2

-15x - 10y = -20

8x + 10y = 20

-15x - 10y + 8x + 10y = 20 - 20

x = 0

0 + 2y = 4

2y = 4

y = 2

(0; 2)

Answer:

3 / 16

Step-by-step explanation:

Let The total amount = x

Fraction eaten on first day = 1/4x

Fraction left = x - 1/4x = 3/4x

Fraction of amount left eaten on second day = 3/4 of 3/4x

3/4 * 3/4x = 9/16x

Fraction left :

3/4x - 9/16x = (12x - 9x) /16 = 3/16x

Hence, fraction left = 3/16

Answer:

12.56 m

Step-by-step explanation:

The circumference of a circle is given by

C  = 2 * pi *r

C = 2 * (3.14) * 2

C =12.56

Step-by-step explanation:

1. Given,

Sides of the shape = 3y+9, 2y+4, y+3 and 2y+4

Therefore ,

Perimeter of the shape = Sum of all the sides

= (3y+9) + (2y+4) + (y+3) + (2y+4)

= 3y + 2y + y + 2y + 9 + 4 + 3 + 4

= 8y + 20 (Ans)

2. Given,

Side of the square = 5x - 2

Therefore,

Perimeter of the square = 4 × Sides = 4s

= 4 × (5x - 2)

= 4 × 5x + 4 × (-2)

= 20x - 8 (Ans)

Answer:

3. If that doesn't work, try 1/3

Step-by-step explanation:

Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.

Answer:

 T

              fold it up =t

Step-by-step explanation:

Answer:

A≈376.99yd²

d= 10yd

h = 7yd

hope it helps

Answer

what's the question?

Step-by-step explanation:

looks like your question is missing information

Answer:

2520 ways

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]r = (2,3,5)[/tex]

Required

The number of selection

First, select 2 people from 10 in 10C2 ways.

There are 8 people, left.

Next, select 3 people from 8 in 8C3 ways.

There are 5 people left.

Lastly, select 5 from 5 in 5C5 ways

So, we have:

[tex]Total = ^{10}C_2 * ^8C_3 * ^5C_5[/tex]

Using combination formula

[tex]Total = 45 * 56 * 1[/tex]

[tex]Total = 2520[/tex]

Answer: hello your question is poorly written attached below is the complete question

answer:

[tex]\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))[/tex] --- ( option d )

Step-by-step explanation:

The correct option that represents a  square root of 3 as related to the question attached below is :

[tex]\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))[/tex]

Answer:

D

Step-by-step explanation:

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

The sum of legs for a right triangle is 12:

[tex] a + b = 21 [/tex]

[tex] a = 21 - b [/tex]   (1)

And their product is:

[tex] a*b = 40 [/tex]   (2)

By entering eq (1) into (2) we have:

[tex] (21 - b)b = 40 [/tex]                          

[tex] 21b - b^{2} - 40 = 0 [/tex]  

We can find the value of "b" by solving the above quadratic equation.

[tex] b_{1} = 2.1 [/tex]

[tex] b_{2} = 18.9 [/tex]

Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.      

[tex] a = 21 - 2.1 = 18.9 [/tex]                                                                              

Now, the hypotenuse of the right triangle is given by:

[tex] h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 [/tex]

Hence, the perimeter is:

[tex] P = a + b + h = 18.9 + 2.1 + 19 = 40 [/tex]

Therefore, the perimeter of the triangle is 40.

I hope it helps you!          

Answer:

5/3

Step-by-step explanation:

Direct variation is of the form

y = kx

where k is a constant

Using the first set of point

9 = 5k

Divide by 5

9/5 = k

The equation becomes

y = 9/5 x

Using the second set of points

3 = 9/5 x

Multiply each side by 5/9

5/9 * 3 = 9/5 *5/9x

5/3 =x

Answer:

Solution given:

Centre (h,k)=(-6,-2)

end points are:

A[tex]\bold{(x_{1},y_{1})=(-1,-9) \:and \:B(x_{2},y_{2})=(-11,5)}[/tex]

Now

distance between A to M is:

AM=[tex]\sqrt{(h-x_{1})²+(k-y_{1})²}[/tex]

AM=[tex]\sqrt{(-6+1)²+(-2+9)²}=8.6[/tex]units

again

distance between B to M is:

BM=[tex]\sqrt{(h-x_{2})²+(k-y_{2})²}[/tex]

BM=[tex]\sqrt{(-6+11)²+(-2-5)²}=8.6[/tex]units

again

Since AM=BM=8.6units

so

M is the centre of the circle.:Yes

Answer:

C. 1.05 x 10^7

Step-by-step explanation:

1.75x10^4 x 600

=1050 x 10^4

=1.05 x 10^7

Answer: A line parallel to one side of a triangle and intersects the other two sides divides the two sides of the triangle proportionally.

Got this straight from Edmentum

Step-by-step explanation:

Answer:

The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.

Step-by-step explanation:

This is the actual answer for question 7 the one above is question 8

:)

Answer:

1 + 2 + 3 + ... + 2017

sum_(n=1)^2017 n = 2035153

Step-by-step explanation:

Answer:

Floor=2*sqrt(11)

Step-by-step explanation:

Using Pythagoras theorem, we have

Wall^2+Floor^2=(Ladder)^2

Floor^2=12^2-10^2

Floor=sqrt(44)=2*sqrt(11)

Answer:The floor is 6m

Step-by-step explanation:

In this we have to solve to find B

First we know that  A^2+B^2+C^2 and we know A is 10 and C is 12 so now we are going square both 10 and 12 which would be 100 and 144 then we subtract each other 144-100=44 and lastly we are going to get the square root of 44 which is 6.

Please give brainlist

The reference angle of -200° is 20°. If you think about it, the terminal arm will be in Q2. That means that it has a reference angle of 200-180 = 20°

9514 1404 393

Explanation:

An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.

The above relation tells us ...

  ∠PRS = ∠PQR +∠QPR = 2q +2p

Then ...

  ∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p

and

  ∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior

  q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR

  p = ∠QTR = 1/2(∠QPR) . . . . . subtract q

__

For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...

  ∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°

Substituting the congruent angles, this gives ...

  ∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation

Answer:

-43

Step-by-step explanation:

f(x) = -2x^2+2x-3

Let x = 5

f(5) =-2(5)^2+2(5)-3

     = -2(25)+10-3

     =-50+10-3

     = -43

Answer:

He is incorrect.

Step-by-step explanation:

4500 x ( 1 + 1.50%)^3

= 4500 x 1.045678

= 4705.551000

4705.551000 < 4750

Carlos is not correct, because the amount at the end of the 3 years of compounding is £4705.65 not more than £4750.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound [tex]A=P(1+\frac{r}{100})^{nt}[/tex]

Given that, Carlos invests £4500 for 3 years.

He receives compound interest of 1.5% per year.

Here, amount =4500(1+1.5/100)³

= 4500(1+0.015)³

= 4500(1.015)³

= 4500×1.0457

= £4705.65

Carlos is not correct, because the amount at the end of the 3 years of compounding is £4705.65 not more than £4750.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

Answer:

2.6 x 5

Step-by-step explanation:

2.6 x 5 is 13 x 15.25 is 198.25 and you can't go any higher than that or it will go over 200 so the dimensions that give the greatest area would be 2.6 and 5, good luck

Answer: I think the answer is D

Step-by-step explanation:

Answer:

D is the answer (The last option)

Step-by-step explanation:

Answer:

D   2i

Step-by-step explanation:

Answer:

B. i√4

D. 2i

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

x/2-3x/4+5x/8=9

Or,(4*x-2*3x+5x)/8=9. (taking LCM)

Or, (4x-6x+5x)/8=9

Or, 3x=9*8

Or, x = 72/3

so, x=24.

Answer:

Expected value x= 35

linear transformation is defined as a + bx

here, b=4, a=1

The transformation is [tex]z=1+4x[/tex]

now, expected value, [tex]l_z=l_z(a+bx)[/tex]

[tex]=l(a)+l(bx)[/tex]

[tex]=a+b\:l\:x[/tex]

substitute the value of a=1, b=4 and l=35

[tex]l_z=1+4\times35[/tex]

[tex]=1+140[/tex]

[tex]=141[/tex]

So, the expected value of the transformed variable is 141.

OAmalOHopeO

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

Explanation:

Let's consider a set of three values such that they're all equal to 35

{35,35,35}

This rather boring set has a mean of 35 and it's hopefully very clear why this is the case. The terms "mean" and "expected value" are interchangeable.

If we multiply everything by 4, then we get the new set {140,140,140}

Then add 1 to everything and we arrive at {141,141,141}. You can quickly see that the mean here is 141.

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

You could play around with that original set of 3 values to make things more interesting. Let's say we subtract 1 from the first item and add 1 to the last item. So we could have {35,35,35} turn into {34,35,36}. You should find that the mean is still 35 here.

If we quadruple each item, then we have {34,35,36} turn into {136,140,144}

Finally, add 1 to everything to get {137,141,145}. Computing the mean of this set leads to 141.

These are just two examples you could do to help see why the answer is D) 141

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

In a more general theoretical sense, we're saying the following

Y = mX+b

E[Y] = E[m*X+b]

E[Y] = E[m*X] + E[b]

E[Y] = m*E[X] + b

where Y is the transformed variable based on the random variable X. In this case, m = 4 and b = 1. Also, E[X] = 35.

So,

E[Y] = m*E[X] + b

E[Y] = 4*35 + 1

E[Y] = 141

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

Why go through all this trouble? Well consider that you know a certain distribution is centered around 35. Then consider that you want to convert those measurements to some other unit. This conversion process is us going from variable X to variable Y. Think of it like a batch conversion of sorts.

A more real world example would be something like "we know the average temperature is 35 degrees Celsius. The question is: what is the average temperature in Fahrenheit?" The numbers would be different, but the idea still holds up.

Answer:

the diameter form for your help today with the app

Step-by-step explanation:

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