Answer:
<h2>y = 3.5x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<h3>y = mx + b</h3>
m - slope
b - y-intercept
We have y-intercept b = -2. Substitute:
<h3>y = mx - 2</h3>
We have the point (4, 12) → x = 4, y = 12. Put them in the equation:
12 = 4m - 2 <em>add 2 to both sides</em>
14 = 4m <em>divide both sides by 4</em>
14/4 = m → m = 3.5
Answer:
82
Step-by-step explanation:
Evaluate 4 x^2 - 14 x + 4 where x = -3:
4 x^2 - 14 x + 4 = 4×(-3)^2 - -3×14 + 4
(-3)^2 = 9:
4×9 - 14 (-3) + 4
4×9 = 36:
36 - 14 (-3) + 4
-14 (-3) = 42:
36 + 42 + 4
| 1 |
| 4 | 2
| 3 | 6
+ | | 4
| 8 | 2:
Answer: 82
Answer:
x = -5
Step-by-step explanation:
Note that x does not change. Hence, this line is a vertical one, and its slope is undefined. The line is defined by the equation x = -5.
Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have

Substituting the values we get


Now in Triangle ADC Tangent identity we have

Substituting the values we get

The required answer is
She would have spent $600 on the furniture, and $200 on the T.V.
Her original savings were $800.