Answer:
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Step-by-step explanation:
The two equations are in slope intercept form which is y = mx + b where m is the slope and b is the y-intercept.
In the first equation (y = -2x + 3), -2 is the slope since it is the coefficient. "b" is 3 since it is the constant of the equation.
In the second equation (y = -4x -1), -4 is the slope is the coefficient, and the y-intercept is -1 since it is the constant.
To solve the equations graphically, graph them and find the point where they intersect.
Put the value of x = 6 to the eqpression 5x² + x - 7:
5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179
<h3>Answer: 179</h3>
Answer:
B
Step-by-step explanation:
given the 2 equations
y - 4x = 12 → (1)
2 - y = 2(x + 2)² → (2)
rearrange (1) expressing y in terms of x
y = 12 + 4x
Simplify (2) by expanding factor and substituting y = 12 + 4x
2 - (12 + 4x) = 2(x² + 4x + 4)
2 - 12 - 4x = 2x² + 8x + 8
- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form
add 10 + 4x to both sides
2x² + 12x + 18 = 0 ← in standard form
divide through by 2
x² + 6x + 9 = 0
(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3
Point of intersection = (- 3, 0 ) → B
Answer:
2y + 16 +2y +30 +4y –13 +3y - 21
11y + 12
I hope I helped you^_^
Step-by-step explanation:
For no. 11
13x + 15 = 19x - 9 ( being opposite sides of parallelogram)
19x - 13x = 15 + 9
6x = 24
x = 4
Also,
4y + 7 ° + 10y - 37° = 180° { being co-interior angles }
14y - 30° = 180°
14y = 210°
y = 210° / 14
y = 15°
For no. 12
5x + 38° = 8x - 19° { being opposite angles of parallelogram }
8x - 5x = 38° + 19°
3x = 57°
x = 19°
Hope it will help :)
