A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .

Answer:

a

Step-by-step explanation:

edge

The value of B is 16.

The correct option is B

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

The standard equation for a hyperbola centered at the origin is:

(x²)/(a²) - (y²)/(b²) = 1

where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.

(x²)/(24²) - (y²)/(b²) = 1

Multiplying both sides by (24²)(b²), we get:

b²(x²) - (24²)(y²) = (24²)(b²)

Dividing both sides by (24²), we get:

b²(x²)/(24²) - y² = b²

Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.

However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:

x = (24²)/b

Setting this equal to 576/26, we get:

(24²)/b = 576/26

Solving for b, we get:

b = 16

Therefore, the correct answer is (B) 16.

To learn more about the quadratic equation;

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Complete Question:

Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?

Answer:

1/6400 or 0.0000015625

Step-by-step explanation:

Given

Area Codes = 200 to 999 (inclusive)

Required

Determine the probability that back to back calls have area code 804

[First, we need to calculate the totality of area codes]

Total Area Codes = 999 - 200 + 1

Total Area Codes = 800

The probability of each code is 1/800

So, the probability of having back to back code of 804 is:

Probability = 1/800 * 1/800

Probability = (1/800)²

Probability = 1/640000

Hence, the required probability is 1/640000 or 0.0000015625

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Answer:

A

Step-by-step explanation:

square root(2) times square root(18)

is square root(36)

which is 6, a rational number

Answer:

Your answer would be A

√2 × √18

Step-by-step explanation:

√2 × √18 = 6

That's rational number

hope it helps!

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

used a calculator

Answer:left is 7 right is 6

Step-by-step explanation:

left is 7 right is 6

Answer:

the right side is 6 and the left side is 7

Step-by-step explanation:

These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.

Answer:

c

because i just did the test

Answer:

A

Step-by-step explanation:

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)

Answer:

∠D = 60

∠E = 99; x = 4

x = 32

Step-by-step explanation:

First things first, the sum of angles in a quadrilateral is 360°.

∠D + 120 + 95 + 85 = 360

∠D = 360 - 120 - 95 - 85

∠D = 60

∠E + 86 + 100 + 75 = 360

∠E = 360 - 86 - 100 - 75

∠E = 99

24x + 3 = 99

24x = 99 - 3

      = 96

x = 96 ÷ 24

x = 4

89 + 5x - 8 + 51 + 3x + 4 = 360

7x + 136 = 360

7x = 360 - 136

    = 224

x = 224 ÷ 7

x = 32

Answer:

m=15

Step-by-step explanation:

Answer:

1 5

Step-by-step explanation:

Answer:

Explanation is written below.

Step-by-step explanation:

                                                1)

Given the line

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = -4 and the point (5, 1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y-1 = -4 (x - 5)

y-1 = -4x+20

y = -4x+20+1

y = -4x + 21

                                                    2)

Given the equation

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 1/4 and the point (5, 1)

[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]

Add 1 to both sides

[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]

[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]

Answer:

x is less than 8

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5