what is the difference between an irrational number and a rational number

Answer:

A) y=2x-3

Step-by-step explanation:

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

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

Answer:

3.2CD

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

side 1 = |18-3|= 15

side 2 = |12-3| = 9

side 3 = |16-4| = 12

side 4: [tex]\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4[/tex]

perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49

Answer:

9ft by 14ft

Step-by-step explanation:

Area:

9 x 14 = 126

Perimeter:

9 + 9 + 14 + 14 = 46

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

Answer:

x = 42.5

Step-by-step explanation:

A triangle formed inside of a circle using the diameter as one of its side lengths is a right triangle

The right angle would be the angle opposite of the diameter (∠C)

A right angle has a measure of 90°

That being said we use this equation to solve for x

90 = 2x + 5

step 1 subtract 5 from each side

90 - 5 = 85

5 - 5 cancels out

now we have 85 = 2x

step 2 divide each side by 2

85/2=42.5

2x/2=x

we're left with x = 42.5

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

Learn more about perfect square

here: https://brainly.com/question/1538726

#SPJ2

Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

[tex]\frac{32-8}{4-2}[/tex] = [tex]\frac{24}{2}[/tex] = 12

Answer:

6 i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You order all the numbers from least to greatest and the center number/s is the median.

If two numbers are in the center, you add them up and divide by 2

The median for this set was 4 and 4. We add those numbers (4+4=8) and divide the sum by 2. We get 4 as the answer

Answer:

y=5x

Step-by-step explanation:

10=m x 2

m=5

Brainliest?

Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars

Step-by-step explanation:

1. 10/2=5. Y=5x

2. 5*5 = $25.00

Answer:

Kahe be kaha se ba see u online ba hahahaha

Answer:

$ 100,000,000,000 is required to repay

Answer:

(-1 , 7)

Step-by-step explanation:

To find the midpoint, the equation used is:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

Here, the values are:-

x1 = 1

x2 = -3

y1 = 9

y2 = 5

Substituting these in the equation, we get:-

[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]

[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]

(-1, 7)

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

144 days

Step-by-step explanation:

160 · 0.9

Answer:

Hi! The answer is [tex]1.5[/tex]

Step-by-step explanation:

[tex]Kelly + Matt + Bo = 3[/tex]

[tex]3, People / 2, Pizzas[/tex]

[tex]3/2 = 1.5[/tex]

[tex]1.5, Pizzas[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

Answer:

Volume measured in cups (c) vs. the same volume measured in ounces (z)

Answer:

me no englis

Step-by-step explanation:sorry

Answer:

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

a²+b²=c²

30²+72²=c²

900+5184=c²

[tex]\sqrt{6084} =c^{2}[/tex]

c=[tex]\sqrt{6084} =78[/tex]

Hope this helped!!

Answer:

78

Step-by-step explanation:

Answer:

8:00 in the morning .....

Answer:

7:20 pm

Step-by-step explanation:

the phrase "twenty to seven in the evening" implies that is twenty minutes before 7:00 pm, meaning the current time was 6:40 pm.

Adding the 40 minutes it took Harmony to get home, the time would have been 7:20 pm

Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7