Complete the square to find the
vertex of this parabola.
x² - 12y - 6x + 5 = 0
?]
-H

Answer:

-25 is the simplest form

Answer:

y = -5x + 7

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

First of all, remember what the equation of a line is:

Where:

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,8), point #1, so the x and y numbers given will be called x₁ and y₁. Or x₁ = -3 and y₁ = 8.

Also, let's call the second point you gave, (-2,3), point #2, so the x and y numbers here will be called x₂ and y₂. Or, x₂ = -2 and y₂ = 3.

Now, just plug the numbers into the formula for m above, like this:

[tex]m=\frac{3-8}{-2--3}[/tex]

or...

[tex]m=\frac{-5}{1}[/tex]

or...

[tex]m=-5[/tex]

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

[tex]y=-5x+b[/tex]

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,8) and (-2,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want..the answer will be the same:

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-3,8) and (-2,3)

is

y=-5x-7

Answer:

C

Step-by-step explanation:

the angle in a semicircle = 90° , that is the 3rd angle in the triangle.

the sum of the 3 angles in a triangle = 180° , then

p + 90° + 42° = 180°

p + 132° = 180° ( subtract 142° from both sides )

p = 48°

Answer:

D is the correct answer.

Step-by-step explanation:

[tex]3 {x}^{2} + 7x - {(x + 4})^{2} - 9 [/tex]

[tex]3 {x}^{2} + 7x - ( {x}^{2} + 8x + 16) - 9[/tex]

[tex]3 {x}^{2} + 7x - {x}^{2} - 8x - 16 - 9[/tex]

[tex]2 {x}^{2} - x - 25[/tex]

Answer:

the probability = 1/4

Step-by-step explanation:

Check the diagram tree I provided (it’s incomplete because it’s so long)

the probability that she starts with a black shirt equal to :

[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]

because she has :

One choice to pick a black shirt out of 4 colors

4 choices to pick pants out of 4 colors

4 choices to pick socks out of 4 colors

4 choices to pick shoes out of 4 colors

Answer:

2

Step-by-step explanation:

log 4 +log 25

Since these two equations have the same base and are being added, we can multiply the arguments

it would be: log 100

which is 2

Answer:

2

Step-by-step explanation: In logs, the opposite of addition is multiplication. Also, there needs to be only 1 log when you're condensing. So you'll multiply 4*25=100. And just plug in your calculator log(100) which is 2.

Hope this helps.

Answer:

That is written in standard form, no changes are needed.

9.45×10^6 is the answer

Step-by-step explanation:

Please check the shots I sent you'll understand it perfectly

Answer:

By making use of Pythagoras theorem

Step-by-step explanation:

l²=4²+4²

=16+16=32

I=✓32

8²=x²+(✓32)²

64=x²+32

x²=64-32

x²=32

x=✓32

Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667

Answer:

c = 9

Step-by-step explanation:

Given equation:

[tex]\sf 6(c-1)=48[/tex]

Divide both sides by 6:

[tex]\implies \sf \dfrac{6(c-1)}{6}=\dfrac{48}{6}[/tex]

[tex]\implies \sf c-1=8[/tex]

Add 1 to both sides:

[tex]\implies \sf c-1+1=8+1[/tex]

[tex]\implies \sf c=9[/tex]

Answer:

9

Step-by-step explanation:

There are now 48 total cookies shared by the 6 plates after he takes 1 cookie (6 cookies)

48+6 is 54/6 is 9

Answer:

4x + 2y = 2

Step-by-step explanation:

8x + 4y = 2 ( divide each term by 2 )

4x + 2y = 1 → (1)

we require a situation where the left side cannot possibly equal the right side.

using 4x + 2y = 2 → (2)

subtract (1) from (2) term by term

(4x - 4x) + (2y - 2y) = 2 - 1 , that is

0 + 0 = 1

0 = 1 ← not possible

thus the system has no solution

Answer:   3 2/9

Step-by-step explanation:

It would be the numbers exact form. Not totally sure but it would be my best guess.

Answer:

512

Step-by-step explanation:

Answer:24/3=$8 each shirt

y=1x+8

Step-by-step explanation:

3 shirts are equal to $24.

24/3=$8 each shirt

The equation is y=1x+8

In the table, just times 8 for each.

For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

__

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

_____

If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

Answer:

Step-by-step explanation:

The range is the difference between the highest and lowest values in a data set.

Answer:

8

Step-by-step explanation:

When finding the range, you have to subtract the smallest value from the biggest value,

2, 9, 7, 9, 1, 6

⇒ 1, 2, 6, 7, 9, 9

If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,

Now that know that we need to subtract,

9 - 1

= 8

Therefore the range of this set of numbers is 8.

Answer:

Explanation: This is the answer

Answer:

[tex]h = 9\ cm[/tex]

Step-by-step explanation:

Step 1:  Determine what h is

[tex]Area = \frac{h * b}{2}[/tex]

[tex]45\ cm^2 = \frac{h * 10\ cm}{2}[/tex]

[tex]45\ cm^2 *2 =\frac{h * 10\ cm}{2}*2[/tex]

[tex]90\ cm^2 = h * 10\ cm[/tex]

[tex]\frac{90\ cm^2}{10\ cm}= \frac{h*10\ cm}{10\ cm}[/tex]

[tex]9\ cm = h[/tex]

Answer: [tex]h = 9\ cm[/tex]

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

28/2= 14 42/2= 21 35/7= 5

14/ 2= 7 21/3= 7

28= 2^2 × 7

42= 2 × 3 × 7

35= 7 × 5

LCM= 420

48/2= 24. 72/2= 36. 96/3= 32

24/2= 12. 36/3= 12. 32/2= 16

12/3= 4. 12/3= 4. 16/2= 8

4/2= 2. 4/2= 2. 8/2= 4

4/2= 2

48= 2^4 × 3

72= 2^3 × 3^2

96= 2^5 × 3

LCM= 288

36/3= 12. 44/2= 22

12/3= 4. 22/2= 11

4/2= 2

36= 3^2 × 2^2

44= 2^2 × 11

LCM= 396

Answer:

The answer is in the attachment

Step-by-step explanation:

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )

Answer:

55p

Step-by-step explanation:

iced cake = 10p more than a plain cake

iced cake = 10p + plain cake

iced cake and a plain cake together = £1

iced cake + plain cake = £1

if iced cake = 10p + plain cake, we can plug this into our second formula to get

(10p + plain cake) + plain cake = £1

10p + 2 * plain cake = £1 = 100p

subtract 10p from both sides to isolate the variable and its coefficient

2 * plain cake = 90p

divide both sides by 2 to isolate the variable

plain cake = 45p

iced cake = 10p + plain cake = 55p

Answer:

x=29.3 degrees

Step-by-step explanation:

Vertical angles are congruent therefore the angle with the dot in it is 60.7 degrees and the combination of the dot and w is 90 degrees. 90-60.7=29.3

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]

Answer:

2.22

Step-by-step explanation:

4/9 x 5