HELP ME PLEASE!!!!!
The midpoint of PQ is M=(3, -1). One endpoint is P=(8, -7). Find the coordinates of the other endpoint, Q.

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]

Rewrite these equations in matrix form

[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]

we can write it like this,

[tex]AX=B\\X=A^{-1}B[/tex]

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]

now multiply the matrix with B

[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.

Answer:

Um.

Step-by-step explanation:

Could you give an example of what? Or no.?

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True

Answer:

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{\sqrt{6} }{3}[/tex]

Therefore,

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Answer:

I think it is 224.

Other:

Brainliest? Thanks!

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

C

Step-by-step explanation:

Answer:

x-1+5x+1=180, 6x=180, x=30

Step-by-step explanation:

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

Answer:

7/9

Step-by-step explanation:

7/9 = 0.777777777777777777...

0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].

Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.

Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.

Fractions can be simplified as decimals.

We have to find the fraction representing the number 0.7 repeated.

0.7 repeated is actually the number 0.77777.....

The quotient of 5/8 = 0.625

The quotient of 6/7 = 0.857...

The quotient of 7/9 = 0.777.......

The quotient of 7/100 = 0.07

So, the quotient of 7/9 is the required number.

Hence the fraction which on simplification gives 0.7 repeated is 7/9.

To learn more about Fractions, click on the link given below:

https://brainly.com/question/10354322

#SPJ2

Answer:

The expected number of days until prisoner reaches freedom is 12 days

Step-by-step explanation:

From the given information:

Let X be the random variable that denotes the number of days until the prisoner reaches freedom.

We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;

E(X) = E( E[X|Y] )

E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}

[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]

[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]

Solving for E[X]; we get

E[X] = 12

Answer:

[tex]u = - 144[/tex]

Step-by-step explanation:

[tex] - 24 = u \div 6[/tex]

[tex] - 24 \times 6 = u[/tex]

[tex] - 144 = u[/tex]

to be sure

[tex] - 24 { = }^{?} - 144÷6[/tex]

[tex] - 24 = - 24[/tex]

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS

Answer: y=8-6x

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

delicious

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

Answer: B

Step-by-step explanation: put the points on a graph

Answer:

I think it’s is into fifths if I’m correct

Step-by-step explanation:

Answer:

f(x)=(x-8)^2 -6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

Answer:

2x2x2x2x3

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

5/9 is 0.5 recurring

Answer:

see pdf

Step-by-step explanation:

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Answer:

(-1, -2)

Step-by-step explanation:

Answer: 133,300

Step-by-step explanation:

Given that:

Number of kcals per serving = 430

Percentage of protein in the kcal = 31%

To obtain the number or amount of protein in one serving :

31% of 430

= 0.31 * 430

= 133.3 kcal

I kcal = 1000 gram calories

Hence,

133.3 kcal = (1000 * 133.3) = 133,300 gram calories