Answer:
30
Step-by-step explanation:
Add 13 served to 17 left over to get how many muffins she originally baked.
Answer:
The required equation is: y=-3
Option D is correct.
Step-by-step explanation:
We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).
The equation of line in slope-intercept form is expressed as: 
where m is slope and b is y-intercept.
Finding Slope:
Comparing with the given equation y=5, the slope m =0
The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0
Finding y-intercept
The y-intercept can be found using slope m=0 and point (-4,-3)
So, y-intercept b is b=-3
The equation of required line having slope m=0 and y-intercept b=-3 is
So, required equation is: y=-3
Option D is correct.
Answer:
- 1/8
Step-by-step explanation:
5/8 - 6/8
Just consider the numerators (exclude the 8's),
5 - 6 = -1
Now substitute it with the same denominator 8.
-1/8
Let us find the length of rope Jules will need using the pythagoras theorem .
Width of the moat ( let the moat be the base of this triangle ) = 14 foot
Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet
Then the length of rope needed ( hypotenuse ) =
= Let us name the triangle that is formed as △ ABC . Then ;
In △ ABC :
AB = the width of moat ( leg of triangle ) = 14 foot
BC = The distance from the window to the moat ( base ) = 20 feet
AC = Length of rope needed ( hypotenuse ) =
= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 14² + 20² = AC²
= 196 + 400 = AC²
= 596 = AC²
= 24 × 24 = AC × AC
= 24 foot = AC = length of rope needed by jules .
Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .
