All categories

3 years ago

Find the midpoint of the line segment joining the points R(2,4) and S(- 4,7).

Mathematics

1 answer:

Kitty [74]3 years ago

3 0

Answer:

Midpoint: (-1, 11/2)

Step-by-step explanation:

Use the formula: (X1+X2)/2, (Y1+Y2)/2

(2-4)/2 , (4+7)/2

-2/2 , 11/2

(-1, 11/2)

You might be interested in

A. 0 B. 1 C. 2 D. 3

zloy xaker [14]

-19 to -15 would be a positive 4 difference

19 to 15 = 4 this would be a -4 difference

3 to 7 is a positive 4 difference

-3 to 7 is a difference of 10

so there is 1 with a -4 difference
answer is B.

6 0

3 years ago

Multiple Choice

Rina8888 [55]

Answer:

Step-by-step explanation:

unit rate is a rate with one in the denominator

8 0

3 years ago

Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year, write an exponential model for the

elena55 [62]

Answer:

In 2026 car will have a value of $5,000.

Step-by-step explanation:

We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$14\%=\frac{14}{100}=0.14$

Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,

$y=28,000(1-0.14)^x$ , where x represents number of years after 2014.

Therefore, the function $y=28,000(0.86)^x$ represents the value of car x years after 2014.

To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.

$5,000=28,000(0.86)^x$

Let us divide both sides of our equation by 28,000.

$\frac{5,000}{28,000}=\frac{28,000(0.86)^x}{28,000}$

$0.1785714285714286=(0.86)^x$

Let us take natural log of both sides of our equation.

$ln(0.1785714285714286)=ln((0.86)^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.1785714285714286)=x*ln(0.86)$

$\frac{ln(0.1785714285714286)}{ln(0.86)}=\frac{x*ln(0.86)}{ln(0.86)}$

$\frac{-1.7227665977411033893}{-0.1508228897345836}=x$

$x=11.422447\approx 12$

As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.

$2014+12=2026$

Therefore, in 2026 car will have a value of $5,000.

6 0

3 years ago

Read 2 more answers

I NEED HELP ON THIS PROBLEM PLS

dedylja [7]

Answer:

only A

Step-by-step explanation:

A is correct because if a number is less than 7, the number under the square root will be negative, and that will yield an imaginary (or non-real number)

B is incorrect because even if you choose a number less than 7, the result will still yield a real number

C is incorrect due to the same logic as B

D is incorrect because you can take the cube root of a negative number without it being non-real.

4 0

3 years ago

6x - 9 = a (3x + 2) What value of a would result in an equation that has no solutions for x?

Umnica [9.8K]

Answer:

a = 2

Step-by-step explanation:

Given

6x - 9 = a(3x + 2)

If the coefficient of the x- term on the right side is 6 then the equation will have no solution, that is if a = 2, then

6x - 9 = 2(3x + 2) = 6x + 4 ( add 9 to both sides )

6x = 6x + 13 ( subtract 6x from both sides )

0 = 13 ← not possible

Thus equation has no solution when a = 2

7 0

4 years ago

Find the midpoint of the line segment joining the points ​R(2​,4​) and ​S(- 4​,7​).

Find the midpoint of the line segment joining the points R(2,4) and S(- 4,7).