MATHEMATICS HIGH SCHOOL

Find the distance between the points (6, 5 √2.) and (4, 3 √2).

Answers

Answer 1
Answer:

Answer:

2 square root of 3!

Step-by-step explanation:
Answer 2
Answer:

Answer:

2 √3

Step-by-step explanation:

YW

Related Questions

A system of equations is given. Equation 1: 4x-6y=10 Equation 2: 9x+2y=7
What is the solution of x - 13 =5
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
Perform the indicated operation.(c 2 + 2c - 35) ÷ (c - 5)
Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.

Formula for finding the line of symmetry of a quadratic function?

Answers

It is a vertical line with the equation of x = -b/2a.
It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry. It intersects a parabola at its vertex. It is a vertical line with the equation of x = -b/2a.

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

The exponential model would take the form: 
y=Ae^(kt)
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
8 = 2e^(k*3)
k = (ln(4))/(3)

Now, plugging in 6 days:
y = 2e^{ (ln(4))/(3)*6}
y = 32

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps. 

Answer:

Step-by-step explanation:

for the exponential it is actually 64

HELP I NEED HELP ASAPLuke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answers

Answer:

A:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : t=r-5

B:

p(r)=1.05(r-5)

C:

p(r)=1.05(r-5)

Substituting r = 15.50

p(r)=1.05(15.50-5)

=> p(r)=1.05(10.50)

= $11.025
a) d = r - 5 where t is the full price 
b) p = ( r - 5 ) * 1.05 
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

Margaritas is a very popular restaurant. Occasionally, the restaurant provides lunch and/or dinner for a local charity house. Each lunch costs $6.50. Each dinner costs $10.25. The restaurant's expenses for providing the meals cannot exceed $1,183 per trimester. If x represents the number of lunches and y represents the number of dinners, what domain best fits the situation

Answers

Given:
lunch cost = $6.50
dinner cost = $10.25
Cannot exceed $1,183 per trimester

x represents the number of lunches
y represents the number of dinners

6.50x + 10.25y < 1,183

In the rhombus, m1 = 18x, m2 = x + y, and m3 = 30z. Find the value of the variables x, y, and z. The diagram is not drawn to scale.

Answers

None of the angles are 90 degrees. The sides of the rhombus that are across from each other are parallel. would add up to 180 degrees, When we have a rhombus, that bit of info really helps.
4X+X=180
5x=180
x=36
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