Answer:
D (3,1)
Step-by-step explanation:
solving simultaneous equations
Arrange equations
2x+y=7
3x-4y=5
make y side cancell by addition by multiplying by 4 and 1 as shown
4{2x+y=7}
1{3x-4y=5}
8x+4y=28
3x-4y=5
11x=33
x=33/11=3
substitute for x=3 in 3x-4y=5
9-4y=5
4=4y
y=1
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
- -11 -5z = 30z +24 . . . . . eliminate parentheses
- -11 = 35z +24 . . . . . . . . add 5z
- -35 = 35z . . . . . . . . . . . . subtract 24
- -1 = z . . . . . . . . . . . . . . . . divide by 2
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative
Answer:
<em>The correct option is: 82°</em>
Step-by-step explanation:
In the given diagram, two chords 
and 
are intersecting.
According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."
That means here......
So, the measure of arc 
is 82°
Answer:
slope = -2
Step-by-step explanation:
Slope formula: 
Given points:
(3 -4) = (x1, y1)
(-2, 6) = (x2, y2)
To find the slope, input the given points into the slope formula:
Solve:
6 - (-4) = 6 + 4 = 10
-2 -3 = -5
Simplify:
The slope is -2.
