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Step-by-step explanation:

For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,

hope this helps you

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Answer:

multiply both sides by 4

Step-by-step explanation:

Answer:

- 3/2 is the answer:)

Step-by-step explanation:

Move the constant to the right

Calculate

Divide by both sides

Hope this helps!

A translation 4 units right and 2 units up is done followed by a dilation of 3/2.

Transformation is the movement of  point from its initial location to a new location. Types are rotation, translation, reflection and dilation

Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.

To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.

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Answer: All 3 Parts

Part A :

Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2

Part C : the two circles are equation congruent

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) find slope

y2-y1/x2-x1

10-9 divided by 8 - 4

1/4 = slope

1/4 = y

b = y-int

Answer:

b=3.5

Step-by-step explanation:

Answer:

3.5x-1

Step-by-step explanation:

Solving:

4bx = 14

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Divide each side by '4x'.

b = 3.5x-1

Simplifying

b = 3.5x-1

Answer:

First one
2x²+x-1

Step-by-step explanation:

3x²-x²=2x²

x

8-9=-1

2x²+x-1

Answer:

I think standard form would be best because it is simplest.

Step-by-step explanation:

hope this helps

Answer: Intercept Form

Step-by-step explanation:

There are three methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum. The first way is by using a graph. You can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum. This is especially easy when you have a graphing calculator that can do most of the work  for you.

Answer:

c

Step-by-step explanation:

because you add 3 to -1 and get 2 and you subtract - 4 to 4

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being a point on the line, and m being the slope (the incline of the line).

we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).

now we need to calculate the slope.

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, for our 2 points we see

x changes by +1 (from -4 to -3).

y changes by +2 (from -1 to +1).

and the slope is +2/+1 = 2

therefore our equation is

y - 1 = 2(x - -3)

or simplified

y - 1 = 2(x + 3)

Tangent is the ratio of perpendicular to the base. The distance between the base of the tree and the swing set is 18 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the height of the tree is 11 feet, while the angle of depression is 31.43°, therefore, the tangent can be written as,

[tex]\rm{Tangent(31.43^o) = \dfrac{AB}{BC}[/tex]

Where BC is the length between the base of the tree and the AB is the height of the tree.

[tex]\rm Tangent(31.43^o) = \dfrac{11}{BC}\\\\BC = 17.999 \approx 18[/tex]

Hence, the distance between the base of the tree and the swing set is 18 feet.

Learn more about Tangent (Tanθ):

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Answer:

  CD = 3 -√3

Step-by-step explanation:

The ratio of leg lengths in a 30°-60°-90° triangle is ...

  1 : √3 : 2

The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.

  AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3

That is ...

  AB = √3

  BD = 3

__

The lengths of the legs in isosceles right triangle ABC are the same, so ...

  BC = AB = √3

Then the length of interest is ...

  CD = BD -BC

  CD = 3 -√3 . . . . . . . a=3, b=-1

Answer:

42 ft minimum.

Step-by-step explanation:

you need to place the ladder 12ft from the house and it is 30 ft above the ground.

Answer:

IVE BEEN LOCKED OUT OF MY HOUSE BEFORE.

Step-by-step explanation:

42 ft

Answer:

3(x-1) 2 if x=4,99

3(499-1)2

3(4,98)2

14.94 + 2 =16.94

Step-by-step explanation:

Answer:

[tex]y = 3x + 12[/tex]

Step-by-step explanation:

The rate of change is represented as the slope.

The problem is asking for a slope that is equal to 3.

y=6x-3 is incorrect, the equation is simplified and the slope is 6.

3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.

y=3x+12 is correct, the equation is simplified and it's showing the correct slope.

-0.1

Explanation:

-3/3(a+c[b+5]-[-6+a])

-3/3(1-4[-6+5]-[-6+1])

-3/3(1-4[-1]-[-5])

-3/3(1 + 4 + 5)

-3/3(10)

-3/30

-0.1

Hope this helps!

Answer:

y = −x + 1

y = −3/5x + 3

Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).

Trigonometric functions are the ratio of the different sides of a right-angled triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]

[tex]Cos(\theta) = \dfrac{36}{85}[/tex]

[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]

As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]

therefore, the length of the perpendicular is 77, while the length of the base is 36.

As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.

Thus, we can say that the coordinates of the point are (-77, 36).

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Answer:

B

Step-by-step explanation: just did it gang 100%

Answer:

  (x, y) = (-6, -10)

Step-by-step explanation:

Pick a variable whose coefficient you want to be zero in the sum. Note the two coefficients of that variable in the two equations. Write the second coefficient in the first box, and the opposite of the first coefficient in the second box.

__

If you want to eliminate x-terms, the x-coefficients are -2 and -3. Write -3 in the first box and +2 in the second box.

  -3(-2x +2y = -8)   ⇒   6x -6y = 24

  +2(-3x +y = 8)      ⇒   -6x +2y = 16

Added together, the resulting equation is ...

  0x -4y = 40

  y = -10 . . . . . . . divide by -4

__

If you want to eliminate y-terms, the y-coefficients are 2 and 1. Write 1 in the first box, and -2 in the second box.

  1(-2x +2y = -8)   ⇒   -2x +2y = -8

  -2(-3x +y = 8)    ⇒   6x -2y = -16

Added together, the resulting equation is ...

  4x +0y = -24

  x = -6 . . . . . . . . divide by 4

__

Now, you know the solution is (x, y) = (-6, -10).

_____

Additional comment

It does not matter which is the first equation. You can swap the two equations and still achieve the desired results. Also, if the coefficients have a common factor, you can divide that out. As you may have noticed, the arithmetic is a little easier if one of the chosen coefficients is 1 or -1.

If you're combining the equations using addition, as we have done here, then one of the coefficient multipliers must be negated, as we have described. If you're combining the equations using subtraction, then you can preserve the original signs of the coefficients (or change them both).

Answer:

y = -5/2x - 4

Step-by-step explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope  point: (-2,1)

y - y1 = m (x - x1)

y - 1 = -5/2 (x - (-2))

y -1 = -5/2x - 5

 + 1          + 1

y = -5/2x - 4

To check our answer, I attached the graph.

Hope this helps!

Answer: 2/3 is the smallest ratio.

Step-by-step explanation:

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Let:

we know that

[tex]x^{2} =(x+2)+10[/tex]

solve for x

[tex]x^{2} -x-12=0[/tex]

We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]

[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]

to give us an answer of 4 and -3

Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6

Answer:

4 and 6

Step-by-step explanation:

x = smaller integer

x+2 = larger integer

x² = 10 + (x + 2)

x² = x + 12

x² - x - 12 = 0

factors are:

(x-4)(x+3) = 0

x-4=0;  x = 4

x+3=0;  x = -3

Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6

Step-by-step explanation:

tan a = 9.6/7.2=4/3

a = 53.13

Answer:

2:3 or 2/3

this is a ratio problem

Answer:

2:3?

Step-by-step explanation:

I'm kinda guessing from the question u gave cuz it doesn't really have a lot of information

Answer:

25%

Step-by-step explanation:

Multiply:

3 × 5 = 25%

Hope this helps!! <3

Answer

Its already in order: 1/7 4/14 2/3

Step-by-step explanation:

Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order

ANSWER:

1/7,4/14,2/3.......................

Answer:

49x²+126x+81

Step-by-step explanation:

Area of any square is length²

If the length given is 7x+9, we can square this to find out what represents the area:

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

[tex](7x+9)(7x+9)[/tex]

[tex]49x^{2} +63x+63x+81[/tex]

[tex]49x^{2} +126x+81[/tex]

Answer:

49x² + 126x + 81

Step-by-step explanation:

A = a²

Since a = 7x + 9

=> A = (7x+9)²

= 49x² + 126x + 81

Note: (a+b)² = a² + 2ab + b²

3) 60

Step-by-step explanation:

718 ÷ 9 = 79.78

So, if you round to the nearest whole number its about 80, the closest answer from your options is 60 so I think the best estimate is number three: 60.

Answer:

Compound interest

$34633.25

Step-by-step explanation:

Everything starts of at 100% and the rate of interest is 9.5% so we add them on=109.5%

Now we want this percentage as a decimal so we divide by 100 = 1.095 this our multiplier

Then get the original amount that you borrowed = 6000 times by the multipler=1.095 to the power of number of years so

6000 multipled by 1.095 to the power of 5

Giving me $34633.25

Answer:

20$ is the answer of your question

Answer:

26

Step-by-step explanation:

solution;

here,

=(2p+3q)(P-q)

=(2*4+3*2)(4-2)

=(8+6)(2)

=13*2

=26