Answer:
The coordinates for point a will be (5,0)
Step-by-step explanation:
a=(xa,ya)=?→xa=?, ya=?
b=(-3,4)=(xb,yb)→xb=-3, yb=4
Midpoind: m=(1,2)=(xm,ym)→xm=1, ym=2
1) xm=(xa+xb)/2
Replacing the known values:
1=(xa+(-3))/2
1=(xa-3)/2
Solving for xa: Multiplying both sides of the equation by 2:
2(1)=2(xa-3)/2
2=xa-3
Adding 3 both sides of the equation:
2+3=xa-3+3
5=xa
xa=5
2) ym=(ya+yb)/2
Replacing the known values:
2=(ya+4)/2
Solving for ya: Multiplying both sides of the equation by 2:
2(2)=2(ya+4)/2
4=ya+4
Subtracting 4 both sides of the equation:
4-4=ya+4-4
0=ya
ya=0
a=(xa,ya)→a=(5,0)
Answer:
Step-by-step explanation:
Given;
p(x) = x³ + x²- 20x + 24
factor of p(x) = x-3
Apply long division method;
x² + 4x - 8
------------------------------
x - 3 √ x³ + x²- 20x + 24
-( x³ - 3x²)
-------------------------------
4x² - 20x + 24
-(4x² -12x )
-------------------------------
-8x + 24
- (-8x + 24)
-----------------------------------------
0
The correct answer is 120 degrees.
With the bigger triangle you can add all of the angles to get 60 degrees. (35+25)
This leaves you with a 120 degrees angle in the unmarked corner of the triangle. Any horizontal line and any triangle is 180 in total.
So with a 120 degree angle in the corner this leaves us with a 60 angle in the smaller triangle. ( The smaller triangle equals 60 degrees in all corners, it is equalateral ).
X is on a horizontal line and we now know that the one side of the line equals 60 degrees and any horizontal line equals 180 in total, this means that the measure of X is 120, (60+120)
X is 120 :)
Answer:
Step-by-step explanation:
Given
Required
Determine the number of brownies left
If:
and there are 28 students
Then:
To determine the number of brownies left, we have:
Reorder
Collect Like Terms
<em>Hence, there are 33 brownies left</em>
Answer:
10
Step-by-step explanation:
From past data:
Fraction of lily sold :
Total flowers / number of lily
Total flowers = 14
Number of lily = 7
Fraction of lily = 14 /7 = 1/2
Going by these ;
Expected number of lilies in the next 20 bouquets sold :
Fraction of lily * number of flower in bouquet
1/2 * 20
= 10 lilies
