4. in the above system of equations, d and b are nonzero constants. if the lines intersect at (2, b), what is the value of ,4?

Answer:

bro r u good its .77

Step-by-step explanation:

Answer:

the first answer is 2.37, and the second one is 12.21

Step-by-step explanation:

Answer:

1)-3,-5

2)2,-4

3)-3,-3

4)2,2

5)1,-2

6)3,1

7)8,-3

8)-3,5

Answer:

x ≥ -3

Step-by-step explanation:

The shaded circle means it is equal to as well.

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 1 from both sides.

Let's solve your equation step-by-step.

1/3 (9x+3)=3x+1

Step 1: Simplify both sides of the equation.

1/3(9x+3)=3x+1

(1/3)(9x)+(1/3)(3)=3x+1(Distribute)

3x+1=3x+1

Step 2: Subtract 3x from both sides.

3x+1−3x=3x+1−3x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

All real numbers are solutions.

a) The vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.

b) You walked a total distance of 840π feet.

a) To find the vector parametric equation for the helical path, we first note that the spiral staircase makes 6 complete revolutions as we climb from the bottom to the top. This means that as we climb 60 feet, we will make 6 full revolutions around the z-axis. Since the radius of the spiral is 28 feet, we can use the equation for a helix to describe our path.

r(t) = <28cos(θ), 28sin(θ), ht>

where θ is the angle of rotation around the z-axis and h is the height we have climbed. We know that we make 6 full revolutions, or 12π radians, as we climb from the bottom to the top, so we can substitute θ = 12πt. We also know that we climb 60 feet in one hour, so our height function is h(t) = 5t*12.

Thus, our vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.

b) To find the distance we walked, we need to integrate the magnitude of the velocity vector over the interval [0,1].

The velocity vector is the derivative of the position vector:

v(t) = < -336πsin(12πt), 336πcos(12πt), 60>

The magnitude of the velocity vector is:

|v(t)| = sqrt((-336πsin(12πt))^2 + (336πcos(12πt))^2 + 60^2) = 336π

Thus, the distance we walked is:

distance = ∫|v(t)|dt from 0 to 1 = ∫336π dt from 0 to 1 = 336π(1-0) = 336π

Therefore, we walked a total distance of 840π feet.

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The number of terms of the sequence is 5.

Arithmetic progression can be described as follows:

aₙ = a + (n - 1)d

where

Therefore, the first term of the arithmetic sequence is 5, the common difference is 3 and the sum of the term is 55.

Let's find the number of terms as follows:

sₙ= n / 2(2a + (n - 1 )d)

a = 5

d = 3

sₙ = 55

Therefore,

55 = n / 2 (2(5) + (n - 1)3)

55 = n / 2(10 + 3n - 3)

55 = n / 2 (7 + 3n)

55 = 7 / 2 n + 3 / 2 n²

110  = 7n + 3n²

3n² + 7n - 110 = 0

Therefore,

n = 5 and n = -22 / 3

Therefore, the number of terms is 5.

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Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

Answer:

Step-by-step explanation:

x=3y

x=your mom

Answer:

B

d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5

Therefore, the equation of the circle in standard form is: (x - 2)² + (y - 3)² = 40.

(xh)2+(yk)2=r2 is the equation of a circle in standard form. The radius is r units, and the centre is at (h,k). Mark points r units up, down, left, and right from the centre of the circle to graph it. Through these four points, draw a circle.

We must first determine the circle's centre and radius before we can determine its equation.

The circle's centre is defined as the point on a line segment that connects the diameter's two endpoints. Taking the average of the x-coordinates and the average of the y-coordinates will get the midpoint:

Midpoint: ((-3+7)/2, (-1+7)/2) = (2, 3)

The distance formula can be used to determine that the circle's radius is equal to half of its diameter:

diameter = √((7-(-3))²+ (7-(-1))²) = √(160) = 4√(10)

radius = (1/2)diameter = 2sqrt(10)

So the center of the circle is (2, 3) and the radius is 2sqrt(10).

Consequently, the circle's standard form equation is as follows:

(x - 2)²+ (y-3)²= (2√(10))²

Simplifying:

(x - 2)²+(y-3)²=40

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer:

She can overcome obstacles. ...

She is strong-minded. ...

She is soft-hearted. ...

She has integrity. ...

She has balance in her life. ...

She sets goals. ...

She is driven by a cause.

\(\tan(68^o )=\cfrac{\stackrel{opposite}{AC}}{\underset{adjacent}{7}}\implies 7\tan(68^o)=AC\implies 17.3\approx AC\)

Make sure your calculator is in Degree mode, as opposed to Gradians or Radians mode.

Quick Clarification:

if your put in your calculator tan(68) in Radians mode, your calculator assumes you meant 68 radians, if in Gradians mode, your calculator assumes you meant 68 Gradians, now, if you have it on Degree mode, your calculator thinks you meant tan(68°).

All trigonometric calculations depend on the mode used, since a circle can be divided in many ways and thus different modes mean, different angles, 68 Radians are extremely different than 68°.

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer: D.

hope this helps

We need the graphs please

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

\(9\) ÷ \(\frac{1}{3}\) =

\(\frac{9}{1}\) ÷ \(\frac{1}{3}\) =

Cross multiply

\(1\) × \(1 = 1\)

\(9\) × \(3 = 27\)

Set it up

\(\frac{27}{1}\)

Then, the model represents 27

Answer

Johnson's average speed is about 9 meters per second

Step-by-step explanation:

you divide 400 and 43.84

Answer

Yes, zero is contained in the interval

The rate of change of the circumference is 8π feet per second

Given data ,

The circumference of a circle is given by C = 2πr, where r is the radius. We need to find how fast the circumference is changing when the radius is 19 feet and the rate of increase of the radius is 4 feet per second.

We can start by taking the derivative of both sides of the equation C = 2πr with respect to time t:

dC/dt = 2π(dr/dt)

Here, dC/dt represents the rate of change of the circumference with respect to time, and dr/dt represents the rate of change of the radius with respect to time.

We are given that dr/dt = 4 feet per second, so we can substitute this value into the equation above:

dC/dt = 2π(4) = 8π

So when the radius is 19 feet, the circumference is C = 2π(19) = 38π feet. At this point, the rate of change of the circumference is dC/dt = 8π feet per second.

Hence , when the radius is 19 feet, the circumference is increasing at a rate of 8π feet per second

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The Equation which is Equivalent to n+4=11 is (n + 4) x 2 = 11 x 2.

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Given:

n+4=11

Solving the Equation

n= 11-4

n= 7

1. (n + 4) x 2 = 11

2n + 8 = 11

2n = 3

n= 3/2

2. (n + 4) x 2 = 11 / 2

2n + 8 = 11/2

2n = -5/2

n = -5/4

3. (n+ 4) x2 = 11 x 4

2n+ 8 = 44

2n = 36

n= 18

4. (n + 4) x 2 = 11 x 2

2n+ 8 = 22

2n = 14

n= 7

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The Question attached here is missing the options which are as follow:

(n + 4) x 2 = 11

(n + 4) x 2 = 11 / 2

(n+ 4) x2 = 11 x 4

(n + 4) x 2 = 11 x 2

Answer: D Maybe?????

Step-by-step explanation:

Answer:

2/1 of a family

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

total marbles

9

red marbles- 4

so prob is 4/9 or D

if my answer helps please mark as brainliest

Answer:

D

Step-by-step explanation:

4+3+2= 9

4 of the 9 are red and we can not simplify.

Answer:

Below in bold.

Step-by-step explanation:

300 degrees - reference angle is |360 - 300 |= 60 degrees

225 = 225 - 180 = 45 degrees

480 = 480 - 360 = 120 so it is 180 - 120 = 60 degrees.

-210 = |-210 + 180| = 30 degrees.

For angle 300° the reference angle is 60°.

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the x-axis.

Given that,

When θ=300°, Φ=

When θ=225°, Φ=

When θ=480°, Φ=

When θ=-210°, Φ=

Now,

For 300° reference angle is |360 - 300|= 60°

For 225° reference angle is |225-180|= 45°

For 480° reference angle is |480-360|= 120°

So, 180-120= 60°

For -210 = |-210+180|= 30°

Therefore, for θ=300° the reference angle is 60°.

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In the given problem, by setting up an inequality, the two possible amounts of change are 53p and 67p.

Let's call the cost of the pie "x". Since it is somewhere between £1.30 and £2.99 and is an exact number of pence after adding a 24% tip, we know that:

1.3 <= x <= 2.99 (in pounds)

100x*1.24 is an integer (in pence)

We can simplify the second condition by multiplying both sides by 100 and dividing by 124:

100x is a multiple of 100/124 = 25/31 (in pence)

So we know that x must be a multiple of 25/31 pence, and it must be between 130 and 299 pence. We can write this as:

130 <= 25n/31 <= 299

where n is an integer.

Multiplying both sides by 31 and dividing by 25, we get:

162.8 <= n <= 237.2

Since n must be an integer, the possible values for n are 163, 164, ..., 237.

For each possible value of n, we can calculate the cost of the pie, the total price with tip, and the amount of change we would receive if we paid with a £5 note. We can then check whether we receive exactly 5 coins as change.

For example, if n = 163, then:

100x = 25n = 4075

x = £40.75

total price with tip = £50.57

change = £5.00 - £50.57 = £0.43 = 43p

43p can be given as 20p + 20p + 2p + 1p, so we receive 4 coins in this case.

Similarly, we can check all the other possible values of n and find that there are two values of change that we could receive:

53p (25p + 20p + 5p + 2p + 1p)

67p (50p + 10p + 5p + 2p)

Therefore, the two possible amounts of change are 53p and 67p.

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