MATHEMATICS COLLEGE

On a coordinate graph, points F (4,1), G (4,-1), H (-7,1) and J (-7,-1) are the vertices of a rectangle. What is the area of the rectangle? PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!!

Answers

Answer 1
Answer: The sides of the rectangle are aligned with the coordinate axes, so the dimensions of the rectangle are easily determined to be 4 -(-7) = 11 units by 1 -(-1) = 2 units. As with any rectangle, the area is the product of length and width.

The area is 11*2 = 22 square units.

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Solve the equation for X-7=13

Find domain and range of y=x+3

Answers

Answer:

The domain is all real numbers and the range is all real numbers

Step-by-step explanation:

The distance travel on the x-axis, you will travel on the complete axis so the answer to the domain is all real numbers.  For the range, the distance travel on the y-axis, you travel on the complete axis so the answer is all real numbers.

Solve the equation. Check the solution. 8 - 6x - 5 - 4x = 5 Type an integer or a simplified fraction

Answers

Answer:

x = -0.2

Step-by-step explanation:

In this problem, an equation is given as follows :

8- 6x - 5 - 4x = 5

We need to solve the above equation

Taking like terms together:

-6x-4x=5+5-8

-10x=2

x = -0.2

So, the value of x is -0.2.

For four weeks in June Cameron baked 3 1/4 miles each week and swim 2 1/2 miles each week for three weeks in July he baked 4 3/4 miles each week and swim 3 1/2 miles each week how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June

Answers

For June:
 Bike:
 (4) * (3 1/4) = 13 miles
 Swim:
 (4) * (2 1/2) = 10 miles
 Total:
 13 + 10 = 23 miles
 For July:
 Bike:
 (3) * (4 3/4) = 14.25 miles
 Swim:
 (3) * (3 1/2) = 10.5 miles
 Total:
 14.25 + 10.5 = 24.75 miles
 The difference between both months is:
 24.75 - 23 = 1.75 miles
 Answer:
 the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater

Please help me I’m so confused

Answers

Given:

The given expression is \sum_(1)^(10) 4\left((1)/(4)\right)^(n-1)

We need to evaluate the given expression.

Solution:

The given expression is in the form of general form of geometric sequence a_n=ar^(n-1)

The common ratio is r=(1)/(4) and the first term is a = 4.

The formula to find the sum of the series is given by

S_n=a((1-r^(n))/(1-r))

Substituting n= 10, a = 4 and r=(1)/(4) , we get;

S_(10)=4 \cdot (1-\left((1)/(4)\right)^(10))/(1-(1)/(4))

S_(10)=4 \cdot (1-(1)/(1048576))/(1-(1)/(4))

S_(10)=4 ( ((1048575)/(1048576))/((3)/(4)))

S_(10)=4 ( (1048575)/(1048576) * {(4)/(3))

S_(10)= (16777200)/(3145728)

S_(10)=5.33

Thus, the sum of the 10 terms is 5.33

Solve for x.
x-4/5= -1/3

Answers

Answer:

x = 1 2/15

Step-by-step explanation:

A light bulb consumes 3600 watts- hours per day. How many watt - hours does it consume in 5 days and 6 hours?

Answers

Answer:

13500/3600= 3 days and 3/4 of a day

Answer:

18,900 watt-hours for 5 days and 6 hours of use
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