The midpoint of JK is M(5, 6). One endpoint is J(7, 7). Find the coordinates of the other
endpoint K.
Write the coordinates as decimals or integers.
K=
= (+,)

Answer:

2

Step-by-step explanation:

√4 = 2

Answer:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

Answer:

$35 per ticket

Step-by-step explanation:

1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity

Answer:

x'5/3.y1/3 is the correct answer

"Former" means "past", more or less. So he used to be a camper.

Antonym means the opposite.

I would say "future" is more opposite than "past", but "current" works as well too.

Answer:

45% male teachers

55% female teachers

Step-by-step explanation:

multiply the number of teachers with 100 and divide it by the total number of teachers

Answer: Length of RS = 13

Step-by-step explanation: Segment is a line connecting two points.

Length or Distance of a segment is the distance between these two points and is calculated as:

[tex]d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

For the line RS:

[tex]d=\sqrt{[1-(-4)]^{2}+[9-(-3)]^{2}}[/tex]

[tex]d=\sqrt{(1+4)^{2}+(9+3)^{2}}[/tex]

[tex]d=\sqrt{(5)^{2}+(12)^{2}}[/tex]

[tex]d=\sqrt{25+144}[/tex]

[tex]d=\sqrt{169}[/tex]

d = 13

The length of segment RS is 13 units.

Answer:

^ Answer is C

Step-by-step explanation:

1)Option B is the correct option.

231

2)Option A is the correct option.

6336

3)Option B is the correct option.

307 (not sure)

Answer:

it's A

Step-by-step explanation:

[tex]6x-3y=36\\\\-3y=36-6x\\\\y=\frac{36-6x}{-3} \\\\y=\frac{36}{-3}-\frac{6x}{-3}\\\\ y=-12 +2x \\ OR\\y=2x-12[/tex]

Answer:

3.

Step-by-step explanation:

Rearrange to make it easier:  6*x+3*y-(12)=0

Find like factors and eliminate them: 6x + 3y - 12  =   3 x (2x + y - 4)

So then you get 3 = 0. So y would be 3.

Answer: a. y=5

b. RS = 37 ,  ST =16 and RT = 53 .

Step-by-step explanation:

Given: On number line we have,

RS = 7y + 2, ST = 2y +6, and RT = 13y - 12.

a. Since its on number line so we have

RT = RS+ ST

i.e. 13y - 12 = (7y + 2) + ( 2y +6)

⇒ 13y - 12 = 7y + 2 + 2y +6

⇒  13y-12 = 9y+8

⇒    13y-9y = 8+ 12   [Subtract 9y from both sides and add 12 in both sides]

⇒    4y = 20

⇒  y= 5  [Divide both sides by 4 ]

b. Now ,  RS = 7(5) + 2 = 35+2= 37,

ST = 2y +6 = 2 (5)+6 = 10+6 =16,

and RT = 13y - 12  = 13 (5)-12 = 65-12 = 53.

Hence, RS = 37 ,  ST =16 and RT = 53 .

More members prefer a beach vacation and ski vacation than an adventure vacation.

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

Explanation:

Let's go through the four answer choices to see which one is true.

Answer:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Step-by-step explanation:

Given that the function is:

[tex]y=f(x)=-x^2+25[/tex]

It is quadratic equation, therefore we can observe that it is a parabola.

The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.

That means it will have a maximum value.

This maximum value is at the vertex and where x = 0.

Also, vertex is at x intercept.

x intercept is the value of x where we have y = 0 and

y intercept is the value of y where we have x = 0

So, let us put y = 0 first.

[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]

Therefore x intercepts are at (5, 0) and (-5, 0)

Now, let us put x = 0,

[tex]y=0+25\\\Rightarrow y =25[/tex]

Therefore y intercept is at (0, 25).

It is the point of maximum value (which is 25) and vertex of parabola as explained above.

Kindly refer to the attached image for the graph of given function.

Therefore, correct option is:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Answer:

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

A= x+3

B= x+2

C= x+1

A+B+C=30

[tex]x+3+x+2+x+1=30\\3x+6=30\\3x=30-6\\3x=24\\x=\frac{24}{3}\\x=8[/tex]

ANS: X=8

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

Answer:

It would be 5.

Step-by-step explanation:

3 - 5 is -2, because it goes like this:

-5  -4  -3  -2  -1  0  1  2  3  4  5 (just count down)

Answer:

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

Answer:

y = 14 [tex](6)^{x}[/tex]

Step-by-step explanation:

For an exponential function of the form y = a[tex]b^{x}[/tex]

Use the given points to find a and b

Using (0, 14 ), then

14 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 14

y = 14[tex]b^{x}[/tex]

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = [tex]\sqrt[3]{216}[/tex] = 6 , thus

y = 14 × [tex]6^{x}[/tex] ← exponential function

Answer:

Slope: [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Use slope formula to find the slope

[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

present value | $741.37 (US dollars)

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

[tex]\rule{130}1[/tex]

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

[tex]\rule{130}1[/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup[/tex]

When,

[tex]\bullet\: \textsf {x = } \textbf {15} [/tex]

[tex]\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17} [/tex]

[tex]\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.[/tex]

Answer:

Hey there!

Rhianna has 1/2 of a box of pencils left after using some at school.

The bottom two boxes would be 3÷3=1.

Let me know if this helps :)

Answer:

Step-by-step explanation:

There are 6 spaces and three are shaded

= [tex]6\div 3 = 2\\[/tex]

Answer:

-10

Step-by-step explanation:

imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10

Answer:

I’m sorry I thought I saw a positive 3, The correct answer would be -10.

Answer:

44g

Step-by-step explanation:

Rice is sold in 75-gram packs and 120-gram packs.

74.5  to  75.5                               119.5 to 120.5

lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g

Answer:

√29

Step-by-step explanation:

We have points (3,4) and (5,9), so the distance:

Answer:

D. 180cubic cm

Step-by-step explanation:

volume=h*w*L

V=6*5*6

v=180

Answer:

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

[tex]Cylinder_{volume}[/tex] = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

[tex]Cylinder_{volume} = 3.14*2^2*4 = 50.24 in^3[/tex]

[tex]Sphere_{volume}[/tex] = ⁴/3πr³

Where,

π = 3.14

r = 2 in

[tex]Sphere_{volume} = \frac{4}{3}*3.14*2^3 = 33.49 in^2[/tex]

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

Answer:

A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]3+11t-9u\\\\\rightarrow\boxed{t = 9; u = 11}\\\\3+11(9)-9(11)\\\\3+99-99\\\\102-99\\\\\boxed{3}[/tex]

Hope this helps.