Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

Im good at math, what do you need help with?

Answer:

₹4000

Step-by-step explanation:

₹800/10 books

₹80/1 book

(₹80/1 book)*(50) = ₹4000

Answer:

1   7/16

Step-by-step explanation:

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Step-by-step explanation:

I don't know what is the answer I can explain it

Answer:

(-2, 2) (-4, 2) (-4, 5)

Step-by-step explanation:

The coordinate for A are (2, 2) (4, 2) and (4, 5).

When you reflect across the x=axis the y coordinates become negative.

(2, -2) (4, -2) (4, -5)

y = x is a diagonal line through the origin, and all of the points change signs.

(-2, 2) (-4, 2) (-4, 5)

Plot the 3 points for the triangle.

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

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

In which:

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

Answer:

Step-by-step explanation:

1. 3 cans cost 90 cents

3=0.90 & x=2.7

by ratio:

3/0.9 = x/2.7

0.9x=8.1

x= 9

So you can buy 9 cans for 2.7 dollars

2. 10 Juice cost 3 dollars

by ratio:

10/3 = 4/x

10x=12

x=1.2

so you will spend 1.2 dollars to buy 4 juice packs

Answer:

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]x^2+3x+y=0[/tex]

[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]

[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

Answer:

1712 square meters

Step-by-step explanation:

2000 - 288 = 1712

Answer:

36.19047619 million

or 36,190,476 students

Step-by-step explanation:

7.6 million / all students = 21% / 100%

7.6 * 100 / 21 = 36.19047619

36.19047619 million

or 36,190,476 students

Answer:

x = 8

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

Answer:

0.4

Step-by-step explanation:

I used a calculator so it should be correct

Answer:

f=7

Step-by-step explanation:

42=6f

/6   /6

42/6=7

You divide 6 from 42, which leaves you with 7=f.

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

therefore we have complex number

y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

Answer:

$156.63

Step-by-step explanation:

223.75 - (223.75 x .3) = 156.625

Answer:

what grade are u in so I know

Answer:

2 b is you answer

Step-by-step explanation:

Answer:

a equals  and b equals 7

Step-by-step explanation

divide both side by 3 getting a+b=(28/3)

subtract b from both sides getting a=(28/3)-b

to solve for b its the same way so b=(28/3)-a

you can then substitute

Answer:

w+h+10=10wh

Step-by-step explanation:

Answer:

-13h - 12

Step-by-step explanation:

3(-6h - 4) + 5h

-18h - 12 + 5h

-13h - 12

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]