I need the lowest common denominator LCD for
-5/7, - 5/4

The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.

To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.

Learn more about equidistant here
https://brainly.com/question/29886221



#SPJ11

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer:

$85

Step-by-step explanation:

$25 + $80 + $65=$180

$180 - $80 -$15 = 85

So balance would be $85

we estimate that g^-1(4) is approximately 0.8.

To find g^-1(4), we need to find the value of x that satisfies the equation g(x) = 4, where g(x) = 3 + x + e^x.

So, we start by setting g(x) equal to 4 and solving for x:

3 + x + e^x = 4

Subtracting 3 from both sides, we get:

x + e^x = 1

We cannot solve this equation for x algebraically, so we need to use numerical methods to approximate the solution. One common method is to use the graph of the function g(x) and its inverse g^-1(x) to estimate the value of g^-1(4).

First, we graph the function g(x) and look for the point on the curve where the y-coordinate is 4:

Graph of g(x) = 3 + x + e^x

From the graph, we can see that there is a point on the curve where the y-coordinate is close to 4, which is approximately x = 0.5.

Next, we look at the graph of the inverse function g^-1(x), which is simply the reflection of the curve of g(x) across the line y = x:

Graph of g^-1(x)

From the graph, we can see that the point on the curve of g^-1(x) that corresponds to the point (0.5, 4) on the curve of g(x) is approximately g^-1(4) = 0.8.

To know more about graph visit:

brainly.com/question/17267403

#SPJ11

Answer:

Slope is 2/3.

Step-by-step explanation:

I can't help you plot the points, but the slope formula is y2-y1/x2-x1.

2-4/3-6. -2/-3. This simplifies to 2/3.

Answer:

Step-by-step explanation:

To solve -2x+4=(2)+1 for X, simplify to 3 on the right side. Then subtract 4 from both sides to get -2x=-1. Divide by -2 to get X=1/2.

Answer: x = 1/2

Step-by-step explanation:

First, add 2 and 1, which would give you -2x + 4 = 3

Then, subtract 4 from both sides, which would give you -2x = -1

After that, divide -2 from both sides, and that leaves you with x = 1/2

Answer:

is question correct

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

Answer:

quadratic is right answer

Answer:

it's a linear function

Step-by-step explanation:

Because the difference between all the y components is same i.e 5

The most appropriate model for this situation is b) exponential growth.

The given scenario of a disease spreading through a population, where each infected person transmits the disease to two people every day, suggests exponential growth. Therefore, the most appropriate model for this situation is b) exponential growth.

In exponential growth, the number of infected individuals increases at an accelerating rate over time. Each infected person infects a constant number of new individuals, resulting in a doubling effect. In this case, each infected person transmitting the disease to two new people every day leads to a doubling of the infected population each day.

Initially, there are 4 hosts with the disease, and each day the number of infected individuals doubles as new infections occur. The growth rate is not limited or slowed down by factors such as recovery or immunity, indicating that the population is experiencing uncontrolled growth without restrictions.

On the other hand, linear growth (a) would imply a constant increase in the number of infected individuals, exponential decay (c) would suggest a gradual decrease in the number of infected individuals, and logistic growth (d) would involve a growth pattern that initially resembles exponential growth but then levels off as it reaches the carrying capacity of the population. However, based on the given information, exponential growth best describes the situation of the disease spreading through the population.

To learn more about exponential growth here:

https://brainly.com/question/11083031

#SPJ4

Answer:

1) \(\frac{6+\sqrt{6} }{2}\)       2) \(-3 + \sqrt{12}\)

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

Answer:

1) ( 6+\(\sqrt{6}\) ) / 2                 2) 2 \(\sqrt{3}\) - 3

Step-by-step explanation:

I got the same thing as the other person, but typing it out would take forever just to give you the same result.

You do use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

1) ( 6+\(\sqrt{6}\) ) / 2

2) I got the same answer but I put in 1 more step. It looks like the person caught it though.

From the -3 + \(\sqrt{12}\)    

-3 + \(\sqrt{4} \sqrt{3}\)

-3 + 2 \(\sqrt{3}\)     Rearrange

2 \(\sqrt{3}\) - 3

The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.

Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.

For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.

More on significant figures: https://brainly.com/question/23396760

#SPJ11

Based on the information, it can be inferred that the information in the table is sufficient to determine that the accident rate does vary in the different months of the year because in some months there are fewer cases than in others.

Based on the information in the graph, it can be established that there is sufficient evidence to reject the statement about the distribution of fatal accidents between each month because there is not a constant occurrence of accidents throughout the year, for example, the month with the lowest accident rate is November with 9 cases and the month with the highest accident rate is August with 23 cases. The other months remain in ranges above 10 cases. Therefore, there is sufficient evidence to contradict the statement of the executive department.

According to the above information, the null hypothesis and the alternative hypothesis would be:

Learn more about hypotheses in: https://brainly.com/question/18064632

#SPJ1

ANSWER :

tan θ = 1/d

and

2.6

EXPLANATION :

Using tangent function :

From the problem, the side opposite to the angle is "1", and the adjacent side is "d"

That will be :

The answer is D.

If the angle is 20.75 degrees, the value of d will be :

The answer is 2.6

Answer:

4.5 cm

Step-by-step explanation:

KL = LM as triangle is isosceles

LM = KM as LF = FM = KN = NM, so the triangle is equilateral

EF ║ NM as LE⊥EF and LN⊥NM

EF is half the midsegment as ∠KLN ≅ ∠MLN, and LN is angle bisector of ∠KLM

Midsegment is half the side length, and all sides are 18 cm.

EF = 1/2(1/2*18) = 4.5 cm

Answer:

tan B = 5/12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan B = 5/12

Answer: m = 11

Step-by-step explanation:

12 - (m - 3) = 4

Distributive property

12 - m + 3 = 4

Combine like terms

-m + 15 = 4

Subtract both sides by 15

-m = -11

Divide both sides by -1

m = 11

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Answer: x=9

Step-by-step explanation:

:)

Answer:

150.5 is median

148 is your mean

and 60 is a range

Answer:

  C.  22 square meters

Step-by-step explanation:

The surface area of a rectangular prism can be found from the formula ...

  A = 2(LW +H(L +W))

Filling in the given values, we have ...

  A = 2(2×3 +1×(2+3)) = 2(6 +5) = 22

The surface area of the box is 22 square meters.

Using the sine ratio, the length of the missing side is: 11.8.

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ1

You have the following expression:

(a + 2b)/ 5

In order to evaluate the previous expression for a = 1 and b = 2, you proceed as follow:

(a + 2b)/ 5 = ( 1 + 2(2) )/5

= ( 1 + 4 )/5

= (5)/5

= 1

Hence, the answer is 1.

Answer:

3.75

Step-by-step explanation:

if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it

Answer:

1/3 and 6/18 their relationship is 6

Step-by-step explanation:

I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(

Answer:

B = (7, 2)

origin (0, 0)

C = (-7, 2)

Step-by-step explanation:

From inspection of the graph, point B is at (7, 2).

The vertex of the parabola is at (0, 0) so the axis of symmetry is x = 0.

Therefore, point C will have the same y-value as point B, and the same x-value but in the negative ⇒ (-7, 2)