#a
V={Vowels of English alphabets}
#b
C={cube numbers between 0 to 50}
#c
M={y:y is a multiple of 3 less than 20}
Answer:
(-6,-4)
Step-by-step explanation:
The first endpoint of the line is (-6,8), we can call
x_1 = -6
and
y_1 = 8
Let the last endpoint have coordinates (x_2,y_2)
Also, the midpoint formula is:
(x_1+x_2)/2 , (y_1+y_2)/2
Now, plugging these values is the formula, we get:
(-6+x_2)/2 = -6
-6+x_2=-12
x_2=-12+6 = -6
x_2 = -6
Also
(8+y_2)/2=2
8+y_2=4
y_2=4-8=-4
y_2 = -4
The coordinates of the other endpoint is (-6,-4)
Answer:
a=5, b=-2
Step-by-step explanation:
If you simplify the equation, you get:
3ax +6 -4x -4b - 11x - 14 = 0 =>
3ax - 15x -4b -8 = 0
group together x's and constants:
(3a-15)x -8 -4b = 0
To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2
Answer:
1) 6 balls
Step-by-step explanation:
x = number of balls Elsa can shoot
x + 6 = number of balls Anna can shoot
18 = number of balls together they can shoot
x + (x + 6) = 18
x + x + 6 = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6
2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.
3)Let x & y be packets of [a] type & [b] type detergent sold
Then 9x +7y =180
Let us say x=7
Then 9*7+7y =180
7y =180–63 = 117
y =117/7=19.2 this will not do as it contains decimal not whole number
Say x=6
Then 9*6 +7y =180
7y=180–54 =126
y =126/7 =18 this is acceptable as it is whole number
Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php
4) 5,6,7 female piglets
5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.
4kg of rice - Php. 360.00
3kg of pork- Php. 390.00
1kg of rice is Php. 90.00
1kg of pork is Php. 130.00
I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± <span>√ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 </span>± <span>√13^2 - 4(2)(-24) / 2(2)
x= -13 </span><span>± √169 - 8 (-24) / 4</span>
<span>x= -13 <span>± √169 + 192 / 4</span>
x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2
x = -8, 3/2</span>
