Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = = = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
You can find the slope intercept of a line if it has two pairs of points that go through it.
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN =
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN =
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN =
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) =
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) =
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²
Y
y=ax
where a is a constant of proportionality;
y=20, x=4
20=4a
a=20/4
a=5
y=5x
The constant of variation is 5
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.
First, get rid of the parenthesis by <em>distributing.
</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign.
<em>
</em>So you have: 2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>
</em>