The two numbers are (7+ sqrt(65))/2 and (7- sqrt(65))/2
(7+ sqrt(65))/2+ (7- sqrt(65))/2= 7
(7+ sqrt(65))/2* (7- sqrt(65))/2)= -4.
Hope this helps~
Answer:
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Step-by-step explanation:
Write a system of two inequalities to model loaves of bread and
cake that can be baked.
let
number of cornbread loaves = c
number of poppy-seed blueberry Cake loaves = p
corn bread
cups of flour = 2 1/4 = 2.25
teaspoon of baking soda = 1 1/4 = 1.25
One loaf of poppy-seed blueberry cake
cups of flour = 1 3/4 = 1.75
teaspoons of baking soda = 2 1/8 = 2.125
The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.
Quantity of flour to use
c(2.25) + p(1.75)
Quantity of baking soda to use
c(1.25) + p(2.125)
The inequality is
c(2.25) + p(1.75) ≤ 28
c(1.25) + p(2.125) ≤ 30
Alternatively,
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Answer:
they are perpendicular
Step-by-step explanation :
<u>If you graph both equations you will see that they Intersect with each other.</u><u>
</u>
Answer:
- arc second of longitude: 75.322 ft
- arc second of latitude: 101.355 ft
Explanation:
The circumference of the earth at the given radius is ...
2π(20,906,000 ft) ≈ 131,356,272 ft
If that circumference represents 360°, as it does for latitude, then we can find the length of an arc-second by dividing by the number of arc-seconds in 360°. That number is ...
(360°/circle)×(60 min/°)×(60 sec/min) = 1,296,000 sec/circle
Then one arc-second is
(131,356,272 ft/circle)/(1,296,000 sec/circle) = 101.355 ft/arc-second
__
Each degree of latitude has the same spacing as every other degree of latitude everywhere. So, this distance is the length of one arc-second of latitude: 101.355 ft.
_____
<em>Comment on these distance measures</em>
We consider the Earth to have a spherical shape for this problem. It is worth noting that the measure of one degree of latitude is almost exactly 1 nautical mile--an easy relationship to remember.
Answer:
151
Step-by-step explanation:
604 ÷ 4 = 151
just...standard division.
