All categories

2 years ago

What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.

Mathematics

1 answer:

Naddika [18.5K]2 years ago

6 0

<h3>Answer: A) 5 units</h3>

====================================================

Explanation:

The two points given are

C = (x1,y1) = (2,-1)

D = (x2,y2) = (5,3)

Use the distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\$

The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.

You might be interested in

Which recursive formula correctly models the values shown in the table?

Vedmedyk [2.9K]

The right answers are

1. C, 1

2. B, an+1 = an x 3, a1 =5

3. C, an = -6 x 0.5^n-1

4. D, an + 2/3 x (1/2)^n-1

5. D, an+1 = an x (-2), a1 = 5

I just took the test and got 100% so these should be correct

4 0

2 years ago

What is 3/7 plus 8/6??

castortr0y [4]

Find a common denominator, then add and simplify

6 0

3 years ago

What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i

Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

$X(t) = Pe^{rt}$

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

$X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%$

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0

3 years ago

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

3 years ago

Questions 33-36 I don’t know how to find the answer and I need help on how I can find the answer

bulgar [2K]

The answer is 90, 25, 155, 115 respectively

4 0

3 years ago