Answer:
She gave away 12, so she still has 4.
Step-by-step explanation:
16 times .75 equals 12.
Answer:
- (3, 5), (1, 2) and (5, 1)
Step-by-step explanation:
Make three systems with pairs of lines and solve them to work out the vertices.
1) <u>Line 1 and line 2</u>
<u>Double the second equation and subtract equations:</u>
- -3x + 2y - 2(2x + y) = 1 - 2(11)
- -3x - 4x = 1 - 22
- -7x = - 21
- x = 3
<u>Find y:</u>
- 2*3 + y = 11
- 6 + y = 11
- y = 11 - 6
- y = 5
The point is (3, 5)
2) <u>Line 1 and line 3</u>
<u>Triple the second equation and add up equations:</u>
- -3x + 2y + 3(x + 4y) = 1 + 3(9)
- 2y + 12y = 1 + 27
- 14y = 28
- y = 2
<u>Find x:</u>
- x + 4*2 = 9
- x + 8 = 9
- x = 1
The point is (1, 2)
3) <u>Line 2 and line 3</u>
<u>Double the second equation and subtract the equations:</u>
- 2x + y - 2(x + 4y) = 11 - 2(9)
- y - 8y = 11 - 18
- - 7y = - 7
- y = 1
<u>Find x:</u>
- x + 4*1 = 9
- x + 4 = 9
- x = 5
The point is (5, 1)
Answer:
Let the three consecutive integers be x,x+1,x+2
ATQ
x+2(x+2)+15=4(x+1)
=3x+19=4x+4
= x=15
..... Hence. The nos. Are 15,15+1=16 and 15+2=17
Step-by-step explanation:
1. archaic
2. evangelists
3. Norman’s
4. John Wycliffe
5. Vulgar
To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:
y - y1 = m(x - x1)
We substitute the given values in the problem to the equation.
y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12
