Writing an equation of a hyperbola give me the Foci and the isotopes

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Applying the HL congruence theorem, the information marked in the diagram cannot be congruent, so it is FALSE.

The HL congruence theorem states that if the corresponding legs of two right traingles are congruent, and the their hypotenuse are also congruent, then the triangles are congruent.

From the information given, we are not told if the hypotenuse of the right triangles are congruent, so we can't apply the HL congruence theorem to prove they are congruent. The answer is FALSE.

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*see attachement for the diagram of the tissue paper

Answer:

Volume of the roll = 3,817.04 cm³

Step-by-step explanation:

The diagram of the roll of the tissue paper given is a model of two cylinders:

✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm

✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm

Thus:

The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder

✔️Volume of bigger cylinder = πr²h

r = ½(14) = 7 cm

h = 27 cm

Volume of bigger cylinder = π*7²*27

= 4156.33 cm³

✔️Volume of smaller/inner cylinder = πr²h

r = ½(4) = 2 cm

h = 27 cm

Volume of smaller/inner cylinder = π*2²*27

= 339.29 cm³

✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³

The scale read will be 123.28kg weight,f the elevator accelerates upward at a rate.

Given information:

W = 800 N

a = 5 m/s^2

The mass of the man is calculated as -

m = W / g

m = 800 / 9.8

m = 81.63 kg

When the man is standing in an elevator accelerating upwards, effective acceleration acting on him is -

a' = a + g

a' = 5 + 9.8

a' = 14.8 m/s^2

So the scale reading of the weight of the man is -

W' = m × a'

W' = 81.63 × 14.8

W' = 1208 N

W' = 123.28 kg wt

Hence, his weight on the scale is 1208 N.

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Let the total number of students be x

1/5 of the students does not know how to drive

Therefore, the number of students that does not know to drive is

1/5 * the total number of students

Since the total number of students is x

Then,

1/5 * x

= x /5

Therefore, x/5 of the total students does not know how to drive

The question says find the passage of students that know how to drive

Number of students that can drive = Total number of students - Number of students that cannot drive

Number of students that can drive = x - x/5

Number of students that can drive = 5x - x / 5

Number of students that can drive = 4x/5

To calculate the percentage

Percentage of students that can drive = Number of students that can drive / total number of students x 100

Percentage = 4x/5 / x * 100

Percentage= 4x / 5 * 1/x * 100

Percentage = 4/5 * 100%

Percentage = 0.8 x 100%

Percentage = 80%

The answer is 80%

The percentage of students that can drive is 80%

Answer:

10mg

Step-by-step explanation:

We have a proportional relationship.

We know that there are 5mg in 2ml of liquid medication.

Now we want to know how many mg there are in 4 ml of medication.

First, we can rewrite it as:

4ml = 2ml + 2ml

And we know that, in every 2 ml of medicine, there are 5mg.

Then if we have two times 2ml of medicine, we have two times 5mg.

This is:

2*5mg = 10mg

Answer:

In Picture Below:

Step-by-step explanation:

To graph:

1. find the y intercept of the equation (y=4x^2+7, let x =0, y=4*0 +7 which equals y=7)

2. find the x intercepts (if there are any); y=4x^2+7, let y =0, 0=4x^2+7, 4x^2=-7, therefore no x intercepts (you cannot root a negative)

3. find vertex using -b/2a formula, a=4 b=0 c=7, therefore x =0, sub that into y=4x^2+7, y=7, therefore vertex is (0,7)

4. graph all this information

Answer:

30°

Step-by-step explanation:

They are alternate interior angles, so they are equal.

30°

Answer:

615.75 inches

Step-by-step explanation:

The formula to find the volume of a cylinder is:

\(v = \pi \: {r}^{2} h \\ \pi \: \times {7}^{2} \times 4 \\ v = 615.75\)

Hope this helps!!

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:

Because 50X80=4,000because 5*8=40because 50*80=4,000if 80x50=400 add 08X5=40 so add the 2

Step-by-step explanation:

your welcome

Answer: To find out what grade the student must get on the next test, we can use the following formula:

(current total of scores + desired score) / (total number of scores) = desired average

We know that the student's current total of scores is 60 + 78 + 65 + 68 + 72 = 363, and the desired average is 70. We also know that the student has taken five tests, so there is one test remaining.

Therefore, we can plug in these values into the formula:

(363 + x) / 6 = 70

Where x is the grade the student must get on the next test.

We can solve for x by multiplying both sides of the equation by 6:

363 + x = 420

x = 57

Therefore, the student must get a grade of 57 on the next test in order to have an average of 70.

Step-by-step explanation:

The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.

Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,

Christian height = 1.35 m

Tree shadow  = 38.65 meter

Christian shadow = 34.4 meters

Let's establish the proportion to find the height of the tree. Therefore,

let

x = height of the tree

1.35 / x = 34.4 / 38.65

cross multiply

38.65 × 1.35 = 34.4x

x = 52.1775 / 34.4

x = 1.5167877907

x = 1.52 meters

Therefore, The height of the tree is 1.52 meters.

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Answer:

The answer is 1.52.

Step-by-step explanation:

The average exact answer is 801,863. Rounding each number all the way means that 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. 400,000 + 400,000 = 800,000, which is rounded to 801,863.

417,459 rounded to 400,000

384,404 rounded to 400,000

400,000 + 400,000 = 800,000

800,000 rounded to 801,863

Exact answer is 801,863

When rounding each number all the way, 417,459 is rounded down to 400,000 and 384,404 is rounded up to 400,000. When adding these two numbers, the exact answer is 801,863. This can be shown by step by step calculations. First, 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. Next, 400,000 + 400,000 equals 800,000. Finally, 800,000 is rounded up to 801,863, which is the exact answer. This demonstrates how rounding each number all the way and then adding them together can be used to estimate the exact answer without having to do any more complex calculations.

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Answer:

Vertical angle is answer for this question.

The equivalent statement would be choice A :)

Answer: A. If a triangle does not have a hypotenuse, then it is not a right

triangle.

6  is the length of segment AC in right-angled triangle .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

               Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

  let length of AC is x

   BC + CD = AC + DE

  4 + 8 = X + 6

     12 = X + 6

       X = 6

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The friend's claim is not supported by the confidence interval, as the lower bound of the interval is above 120 minutes.

The bounds of the confidence interval are given by the estimate of the parameter plus/minus the margin of error.

The meaning of the interval is that it is x% likely that the population parameter(mean/proportion/standard deviation) is between the bounds a and b of the confidence interval.

Hence the interpretation of this interval is:

We are 95% sure that the true mean waiting time at an emergency room is between 128 minutes and 147 minutes.

Two hours are equivalent to 120 minutes, hence the friend's claim is not supported by the interval, as both bounds of the interval are above 120.

The problem is given by the image shown at the end of the answer.

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Answer:

\(350 * D \geq 1400\)

\(D\ge 4\)

This means that the family must travel for at least 4 days.

Step-by-step explanation:

Given

\(Rate = 350\ miles\ daily\)

\(Distance = 1400\ miles\ (atleast)\)

Required

Determine and solve the inequality

The number of days is represented with D

So:

On any D number of days, the family would have covered a distance of 350 * D miles

If the total distance is at least 1400, then the inequality is:

\(350 * D \geq 1400\)

[The term "At least" is used to represent greater than or equal to]

\(350 * D \geq 1400\)

Divide through by 350

\(\frac{350 * D}{350} \ge \frac{1400}{350}\)

\(D \ge \frac{1400}{350}\)

\(D\ge 4\)

This means that the family must travel for at least 4 days.

243  students signed up for only Math.

The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

Given A survey of 300 SPC students

let  L denote language, H for humanities, and M for maths,

and given, n(L ∪ H ∪ M) = 300

n(L) = 52, students had signed up for a Language Arts course

n(H) = 40, students had signed up for a Humanities course

n(M) =  students signed up for only Math

LM  = 23,  students had signed up for both a Math and Language

MH = 6,  students had signed up for both Math and Humanities

LH = 8, students had signed up for both a Language Arts and Humanities

n(LHM) = 3 students had signed up for all three courses

n(LM) = 23 + 3 = 26

n(MH) = 6 +3 = 9

n(LH) = 8 + 3 = 11

8 students did not sign up for any of these classes

using the formula of triple intersection,

n(L ∪ H ∪ M)  = n(L) + n(H) + n(M) - n(LM)   - n(MH)   - n(LH)   + n(LHM).

300 - 8 = 52 + 40 + n(M) - 26 - 9 - 11 + 3

n(M) = 292 - 49

n(M) = 243

Hence 243  students signed up for only Math.

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Answer:

C.  (-3 , -2)

Step-by-step explanation:I double checked on math.way

Hope this helps

Answer:

Tn= a+( n-1) 3

Tn= 9+(n-1)3

Answer:

Step-by-step explanation:

64x² + 16x - 15 = 0

Use the quadratic formula:

x = [-16±√(16²-4(64)(-15))]/[2(64)] = [-16±64]/128 = -⅝, ⅜

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

with exponents, you take a number and multiply it by itself.

Step-by-step explanation:

the root of a number is the number that can be multiplied a certain amount of times to get us that number.

therefore roots get you to the root of a number.

Hope it helps!

(even if its two weeks late.....)

Answer:

18. y = -2x + 6

19. y = -1/2x -1/2

Step-by-step explanation:

y = mx + b

18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept

For now, all we care about is 6

-2 is the slope which means the line will go down 2 and right 1

m = slope

b = y-intercept

y = -2x + 6

19.

-1/2 is the slope which means the line will go down 1 and right 2

For the y-intersept, I just played with it on a graphing calculater until I got it right.

m = slope

b = y-intercept

y = -1/2x -1/2

Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

Answer:

DONT WORRY ITS FIFTY PERCENT