How many circles have a center of (4,7)?

Answers

Answer 1

Answer: Any circle that can given by

$(x-4)^(2)+(y-7)^(2)=r^(2)$

have a center of $(4,\;7).$

You can choose any positive value for the radius $r.$ Hence, there are infinity circles.

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Which is equivalent to 21.76 grams per minute?

What is the angle between the hour and minute hand when it is 4:20?

Answers

$Look\ at\ the\ picture.\n\n\beta=360^o:12=30^o\n\n(20min)/(1h)=(20min)/(60min)=(1)/(3)\n\n\alpha=(1)/(3)\cdot30^o=10^o\leftarrow answer$

The arc between the 4 and the 5 is (360/12) = 30 degrees.

The hour hand takes a full hour to creep from the 4 to the 5, so it moves
at the rate of ( 30 degrees / 60 minutes ) = 1/2 degree per minute.

In 20 minutes, the hour hand moves (20 x 1/2) = 10 degrees.

At 4:20 , the minute hand is right square on the 4, and the hour hand
is 10 degrees ahead, on its way to the 5 .

The angle between them is 10 degrees.

Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How many apples did Dylan lose?

Answers

on his way walking dylan lost atleast 10 apples

Simplify1). (-1+8i)-(6+6i)

2). (1-5i)(1-7i)

3). -9-3i/-i

4). -5-3i/1-9i

Answers

i got number 1,2,3 only

Explain why x2+7x+4=7x has no solutions.

Answers

$x^2+7x+4=7x$

$x^2+4=0$

$x^2=-4$

Square of any real number cannot be negative because - * - = + so this equation has no solutions

One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of the first side of the garden.Part A: Write a simpiflied expression for perimeter, in feet, of the garden.
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.

Answers

A: If the 1st side of the garden is x feet long then the other sides are 2x - 5. The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up. So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)

Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week. The function to keep track of his exercise is f(x) = 7x + 15. What do the f(x) and x represent in Luke's situation? (2 points)A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
B) f(x) represents the total number of weeks that he has exercised; x represents the number of hours
C) f(x) represents the number of hours he exercises per day; x represents the number of weeks
D) f(x) represents the total number of hours that Luke has exercised; x represents the number of weeks he exercises per day

Answers

If you would like to know what do the f(x) and x represent in Luke's situation, you can find this using the following step:

f(x) = 7x + 15
7 hours each week
x ... the number of weeks
f(x) ... the total number of hours Luke exercises

The correct result would be A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

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