Which is an equation of the line that passes through (2,-5) and (6, 3)?
A. y=+* -6
B. y = 2x + 12
C. y =
D. y = 2x-9

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

904.78

Step-by-step explanation:

Answer:what’s the question?

Step-by-step explanation:

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

To learn more on Graph click:

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Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

Answer:

13 quarters and 24 dimes

Step-by-step explanation:

13*.25=3.25

24*.1=2.4

3.25+2.4=5.65

Answer:

58 degrees

Step-by-step explanation:

By looking at the diagram we can see that angle DCE is an outside angle

There is a special relationship between the outside angle and the arcs it intercepts

The theorem states that the outside angle is equal to half the difference of the intercepted arcs

In other words [tex]outside angle= \frac{arc AC - arc BD (the difference of the arcs)}{2}[/tex]

Knowing this formula we can solve for DCE

So it would be [tex]angle DCE= \frac{238-arcDE}{2}[/tex]

Well we do not know what arcDE is

Since we are given that the other arc is 238 we can take 238 and subtract is from 360

this will give us 122

so you have angle DCE= 238-122/2

238 minus 122 is 116

Angle DCE-=116/2

Angle DCE=58 degrees

There are other ways you can do this but this is just one of them

Answer:

30 for the son 60 for the dad

Step-by-step explanation:

Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Answer:

answer for this solution is 10 degrees

Step-by-step explanation:

sin x + cos x = 90

5x + 3x +10 = 90

x = 10

Step-by-step explanation:

the answer is in the above image

Answer:

The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])

Step-by-step explanation:

With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².

In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².

Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as  9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].

**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!

The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

The difference of squares equation is given as:

[tex](a + b)(a - b) = a^2 -b^2[/tex]

And the radical expression is given as:

[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]

By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:

[tex]a =3[/tex]

[tex]b = \sqrt 7[/tex]

Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]

[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]

This gives

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]

By complete expansion, we have:

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

Hence, the equivalent expression is (c)

Read more about difference of two squares at:

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Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

SA=96

Step-by-step explanation:

formula for triangular prism=bh+l(s1+s2+s3)

3*4/2*2=12

4*7=28

3*7=21

5*7=35

12+28=40+21=61+35=96

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1