find the exact length of the curve y=x36 12x,12≤x≤1.

Se pueden concluir dos posibilidades para cada bolsa y toda la colección:

En este problema conocemos que Roberto tiene 20 balones entre azules y rojos y que existen más balones rojos que azules. Puesto que los balones son objetos que pueden contarse, los datos a buscar deben ser números enteros y positivos y que están distribuidos equitativamente en cuatro bolsas. Entonces las cantidades de balones por bolsa son:

x = 20 / 4

x = 5

Existen 5 balones por bolsa y bajo la consideración de que existen balones azules, que cada bolsa tienen la misma proporción de balones rojos a azules y que los balones rojos son más que los balones azules, se pueden concluir dos posibilidades para cada bolsa:

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Answer:

1,5

Step-by-step explanation:

The tangent line and the radius are perpendicular. and the value of x is 8

The correct answer is B. The tangent line and the radius are perpendicular.

In a circle, the tangent line at a point on the circle is perpendicular to the radius drawn to that point. This is a fundamental property of circles.

The value of x is calculated as

9 * x = 12 * 6

So, we have

9x = 72

Divide

x = 8

Hence, the value of x is 8

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Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

\((x+y)^2 = x^2+y^2+2xy\)

Where,

x = 2a and y = 3b

Putting in the above formula

=> \((2a+3b)^2=4a^2+9b^2+12ab\)

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

The given equation is frac{13}{4x-4}=\frac{2}{x-1}+\frac{x+4}{8}. To solve for x, we first simplify the right-hand side by finding a common denominator. Multiplying the second term by frac{2}{2} and the third term by frac{x-1}{x-1}, we get:

frac{13}{4x-4}=\frac{2\cdot 8}{8(x-1)}+\frac{(x+4)(x-1)}{8(x-1)}

Simplifying the right-hand side, we get:

frac{13}{4x-4}=\frac{16}{8(x-1)}+\frac{x^2+3x-4}{8(x-1)}

Combining like terms, we get:

frac{13}{4x-4}=\frac{2x+12+x^2+3x-4}{8(x-1)}

Simplifying, we get:

13(8)=(2x+12+x^2+3x-4)(4x-4)

Expanding the right-hand side and simplifying, we get:

13(8)=4x^3-5x^2-23x+100

This is a cubic equation, which can be solved using various methods such as factoring, the rational root theorem, or numerical methods.

In summary, the given equation frac{13}{4x-4}=\frac{2}{x-1}+\frac{x+4}{8} can be solved by simplifying the right-hand side, combining like terms, and simplifying again to obtain a cubic equation. Various methods can be used to solve the cubic equation and find the value(s) of x.

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The augmented matrix is [C:b1 b2] = 1 -1 0 1 | 1 2 -1 3 -4 1 | 1 1 2 -1 | 6 4 -2 5.By using Gaussian elimination, we get [I:b1' b2'] = 1 0 0 1 | -2 0 1 | 3 0 1 | -1 0 1 | 1. Hence, the solution to Cx = b1 is x1 = [-2, 3, -1, 1](T), and the solution to Cx = b2 is x2 = [0, 1, 1, 0](T).

By applying the same elementary row operations to the right of C, the inverse C-1 is obtained. C -1=1/10 [3 -7 3 -1 -5 2 -3 7 -2 1 3 -1 -1 3 -1 1](2.2) The system Cx = b is solved using C-1. Cx = b; x = C-1 b = [1,1,0,-1](T).The system Cx = 62 is also solved using C-1.Cx = 62; x = C-1 62 = [9,-7,7,1](T).(2.3) The solution to the two systems is found by multiplying the matrix [b1 b2] by the inverse obtained in (2.1) above. Comparing the solution with that obtained in (2.2).For b1, Cx = b1, so x = C-1 b1 = [1,1,0,-1](T).For b2, Cx = b2, so x = C-1 b2 = [9,-7,7,1](T). The two results agree with those obtained in (2.2).(2.4) To solve the linear systems in (2.2) above by applying Gaussian elimination to the augmented matrix (C:b1 b2].

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Answer:

Step-by-step explanation:

Answer:

radius = diameter/2

diameter =6

radius=6/2=3

answer 3 units

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

Answer:

19) x=21

20) x=22

21) m∠1=70°

Step-by-step explanation:

19)

\(5x+75=180\)

\(5x=105\)

\(x=21\)

20)

\(90+68+x=180\)

\(x+158=180\)

\(x=22\)

21)

Because ∠1 and ∠3 are vertical, they are also congruent.

m∠3=m∠1=70°

Answer:

1:4

Step-by-step explanation:

Thats it

Answer:1/4

Step-by-step explanation:

The minimum number of choices in a scoring procedure that the student must eliminate before it is advantageous to guess among the rest is 4. Option E is the correct option.

Suppose that there are n choices remaining for a particular question.

The probability of answering this question correctly is 1/n if the student guesses and the probability of leaving the question unanswered is (n-1)/n.

The expected score for guessing is therefore (7/n) × (1/n) + (2/n) × ((n-1)/n) = (7 + 2(n-1))/n² = (9 - 2/n)/n.

The expected score for leaving the question unanswered is 2/n.

The student should guess if and only if the expected score for guessing is greater than the expected score for leaving the question unanswered.

That is, we must have (9 - 2/n)/n > 2/n, or equivalently 9 > 2n, or n < 4.5.

Thus, if the number of choices remaining is 4 or more, the student should not guess; if the number of choices remaining is 3 or fewer, the student should guess.

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The value of x that satisfies the equation 5x + 10 = 20 is 2.

Equations are mathematical statements that use symbols, variables, and operations to show a relationship between two or more quantities. In this particular equation, you are given the values of some variables and asked to solve for one of them.

The equation given is 5x + 10 = 20. This equation has one variable, x, which represents an unknown quantity. The goal is to find the value of x that satisfies the equation, meaning that when you substitute that value into the equation, both sides will be equal.

To solve for x, we need to isolate it on one side of the equation. One way to do this is by using inverse operations, which are operations that undo each other. In this case, we can start by subtracting 10 from both sides of the equation to get:

5x + 10 - 10 = 20 - 10

Simplifying this, we get:

5x = 10

Next, we can isolate x by dividing both sides of the equation by 5:

5x / 5 = 10 / 5

Simplifying this, we get:

x = 2

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Complete Question:

What is a value of x if the equation is 5x + 10 = 20?

Answer:

A

Step-by-step explanation:

2(4)+4(3) =20

8+12=20 yes

--------------------------

2(4)+2(3)=14

8+6=14 yes

Answer:

2 burgers and 4 drinks= $20 while 2 burgers and 2 drinks=$14

if the burger cost was $2 and the drink cost was $4, Emily would've spent $20 while Deja would've spent $12, so B's wrong

if the burger cost was $5 and the drink cost was $3, Emily would've spent $22, so C's incorrect, too

if the burger cost was $3 and the drink cost was $2, Emily would've spent $14 and Deja would've spent $10 so D's false as well

Therefore A's correct

Step-by-step explanation:

the burger cost is $4 and the drink cost is $3, Emily  spent $20 and Deja  spent $14

t=total, bc= burger cost, dc=drink cost

Emily's Equation:

t= 2(bc)+4(dc)

t=2(4)+4(3)

t=8+12

t=20

20=20

Deja's Equation

t=2(bc)+2(dc)

t=2(4)+2(3)

t=8+6

t=14

14=14

Answer:

y=x+2

Step-by-step explanation:

I have included a graph with the equation and both points on it (click/tap on it to see the full picture.)

Answer: y= x+2

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

slope = difference of y over difference of x

= (-3-(-4)) /(8 -(-6)) = 1/14

Answer:

\(\text{C. }g(x)=(x-5)^2\)

Step-by-step explanation:

The function \(y=(x-c)^2\) has a phase shift of \(c\) to the parent function \(y=x^2\). Since \(g(x)\) has moved to the right 5 units from the parent function \(f(x)=x^2\), we're looking for a value of \(c=5\).

Therefore, we have:

\(g(x)=\boxed{(x-5)^2}\)

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

26 miles

Step-by-step explanation:

8 2/3 × 3 =26miles

hope this helps

Answer:

24 and 2/3

Step-by-step explanation:

Answer:

4(x-5)=4(6-5)=4

2x/6=(2×6)/6=2

The division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3

From the given question, we are to find the required dividend and divisor such that the result of the quotient will give 15 when rounded up.

For the first option

Dividend = 90.24

Divisor = 6.3

Rounding up to the nearest whole number;

Dividend = 90

Divisor = 6

Taking the quotient of the numbers

Quotient  = 90/6

Quotient  = 15

Hence the division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3

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Answer:

104°

Step-by-step explanation:

The straight line for \(q\) forms an angle of 180°

Therefore,

\(x+y=180\)

\(x+76=180\)

\(x=180-76\)

\(x=104\)

Answer:

SLAY

Step-by-step explanation:

UWU

The area of the polygon is 37.81 units and the perimeter is 33.02 units.

The given points are in order, we have:

a(-3, 2)

f(2, -3)

b(0, 5)

c(3, 2)

d(5, 4)

e(7, 2)

g(0, -1)

Using the distance formula, we can find the lengths of the sides of the polygon. Then, we can add up the lengths of all the sides to find the perimeter of the polygon.

As per the shown figure,

Length of side fa = 7.07 units

Length of side ef = 7.07 units

Length of side de = 7.6 units

Length of side cd = 2.8 units

Length of side bc = 4.24 units

Length of side ab = 4.24 units

The perimeter of the polygon is:

= fa + ef + de + cd + bc + ab

= 7.07 + 7.07 + 7.6 + 2.8 + 4.24 + 4.24

= 33.02 units

The area of the polygon is:

= area of rectangle (1) + area of sqare (2)

= 7.07 × 4.24 + 2.8 × 2.8

= 37.81 units

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Answer:

Option C (Negative)

Step-by-step explanation:

A line with a negative slope goes downward from the left side of the graph to the right side.

A positive line would be the opposite; the line goes upward form left to right.

A horizontal line has zero slope. A vertical line has undefined slope.

The given line has the line going downward.

Option C should be the correct answer.

Hope this helps.

Answer:

C. Negative

Step-by-step explanation:

the line moves from left to right(it's going down) meaning it has a negative slope.

I hope this helps! :)

Answer:

V=whl=3·7·4=84

Step-by-step explanation:

sorry i don't know answe're of this question

Step-by-step explanation:

come on, this is really simple.

you need to put the given values of x into the places, where x appears in the functional expression.

which expression to be used ? that depends on the given value.

x = -1

is -1 >= 0 (to use the case for x >= 0) ? no, it is not.

-1 < 0, so we need to use the expression for x < 0.

y = -1 - 2 = -3

x = 0

is 0 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×0 + 1 = 0 + 1 = 1

x = 1

is 1 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×1 + 1 = 3 + 1 = 4

x = 2

is 2 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×2 + 1 = 6 + 1 = 7

Answer:

Intersection point is: (-1/2, -1/2)

Step-by-step explanation:

Notice from the attached image of the points on the plane, that opposite vertices are for example:

(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.

We use the formula for the midpoint:

x-midpoint = (x1 + x2) / 2

y-midpoint = (y1 + y2) / 2

In the case of the points (-2, 6) and (1, -7) these become:

x-midpoint = (-2 + 1) /2 = -1/2

y-midpoint = (6 + -7) / 2 = -1/2

Answer:

200 kg

Step-by-step explanation:

To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel

Answer:

6 kg

Step-by-step explanation: