MATHEMATICS HIGH SCHOOL

Find the midpoint of AB
if A( -3, 8 ) and B( -7, -6 ).

Answers

Answer 1

Answer:

Answer:

(-5,1)

Step-by-step explanation:

x = (-3+(-7)/2 = -10/2 = -5

y = (8 +(-6)/2 = 2/2 = 1

Related Questions

What is 6/25 as a percentage
Which sentence describes why polygon MNOP is congruent to polygon JKLP?
In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32
If a baby is born at 6.6 lbs and 19 inches long, then what is the baby's weight in kg? Note (2.2 lb = 1 kg)Answer choices:A. 4.0 kgB. 3.0 kgC. 14.52 kgD. .33 kgE. 8.6 kg
how is using a graph to represent a proportional relationship like using a table?How is it different?

Input the equation of the given line in slope intercept form. The line through 1,0 and parallel to x-y=7

Answers

x - y = 7
y = x - 7....the slope here is 1. A parallel line will have the same slope.

y = mx + b
slope(m) = 1
(1,0)...x = 1 and y = 0
now we sub and solve for b, the y int
0 = 1(1) + b
0 = 1 + b
-1 = b

so ur parallel line is : y = x - 1

We know that a parallel line has the same slope. And the slope-intercept form in y=mx+b.

1. simplify x-y=7 to isolate y.

subtract x: -y=-x+7

then divide by -1: y=x-7

so the slope is 1 (m=1)

2. plug in m=1 and (1,0) *******alternate solution below

0=1(1)+b

0=1+b subtract 1

-1=b (b=-1)

3. y=mx+b plug in numbers. ( in bold)

y=1x-1

your answer is y=x-1

*****alternate answer solution from step 2 (using step 1)

2. use the formula y-y1=m(x-x1) (y1 and x1 is with the 1 below the letters BTW)

plug in (1,0)

y-0=1(x-1)

y=1x-1

y=x-1 is your answer.

So it comes out as the same answer. Just 2 different ways to doing it! :)

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.

Answers

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t or 0 = 10 + 4t

4t = 10 or -4t = 10

t = $(10)/(4)$ or t = $-(10)/(4)$

Time cannot be negative (unless you have a time machine) so disregard $-(10)/(4)$

Answer: t = $(5)/(2)$ = 2.5 seconds

The function f(x)=60(1.5)xf(x)=60(1.5)x models an animal population after x years.How does the average rate of change between Years 3 and 6 compare to the average rate of change between Years 0 and 3?

The average rate of change is 1.5 times as fast.

The average rate of change is 3 times as fast.

The average rate of change is 3.375 times as fast.

The average rate of change is 2.25 times as fast.

Answers

Answer:

The average rate of change is 3.375 times as fast.

Step-by-step explanation:

The given function is $f(x)=60(1.5)^x$

The average rate of change of a function f(x) is given by

$(f(b)-f(a))/(b-a)$

Thus, average rate of change between Years 3 and 6 is given by

$(f(6)-f(3))/(6-3)\n\n=(\left(60\left(1.5\right)^6-60\left(1.5\right)^3\right))/(3)\n\n=160.3125$

Now, average rate of change between Years 0 and 3

$(f(3)-f(0))/(3-0)\n\n(\left(60\left(1.5\right)^3-60\left(1.5\right)^0\right))/(3)\n\n=47.5$

The ratio of these average rate of change is given by

$=(160.3125)/(47.5)\n\n=3.375$

Therefore, the average rate of change is 3.375 times as fast.

C.The average rate of change is 3.375 times as fast.You add them up and subract

If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be _______.A. less than -10B. between -1 and -1/10C. between -1/10 and 0D. between 0 and -1/10E. greater than 10

Answers

Answer: E. Greater than 10

Step-by-step explanation:

First, know that number to the left of a number line are negative and the square of any negative number will be positive and a perfect square.

Since the square of the unknown number is less than 1/100 i.e 0.01 then the possible unknown number 'n' can be -0.01 itself, of which the square of -0.01 will give us 0.0001 (1/10,000) i.e a value less than 0.01.

The reciprocal of 1/10000 is 10,000 which is a value greater than 10.

What is the perimeter of a trapezoid having side lengths of 20 ft, 20 ft, 26 ft and 18 ft?

Answers

just add all of the numbers up and you have your answer

20 + 20 + 26 + 18 = 84 ft

For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t $5000 for 5 years at 3.2%

A.
$5160.00

B.
$5852.86

C.
$20,037.32

D.
$25,800.00
Question Resources