y = - 4x - 2
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 4x - 5 is in this form
with slope m = - 4
• Parallel lines have equal slopes
y = - 4x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line
Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by
Substitute the given coordinates into above equation
Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
For this case, the first thing you should do is know that dilation is a transformation that is used<em> to lengthen or shorten a geometric figure.
</em>
Geometric figures can be triangles, squares, circles, or any polygon.
There is a point on the plane, at which the dilation begins to be drawn.
This point on the plane is what we know as the center of dilation
.
Answer:
B. the center of dilation
Answer:
A.) 0.0129 = k
B.) 2024
Step-by-step explanation:
A.)
267,000 = 250,300e^k5
267,000/250,300 = e^k5
1.0667 = e^k5
ln(1.0667) = lne^k5
ln(1.0667) = 5k
ln(1.0667)/5 = k
0.0129 = k
B.)
300,000 = 250,300^0.0129t
300,000/250,300 = e^0.0129t
1.1986 = e^0.0129t
ln(1.1986) = lne^0.0129t
ln(1.1986) = 0.0129t
ln(1.1986)/0.0129 = t
14.03 = t
so the year would be: 2024
Answer:
0.508 cm
Step-by-step explanation:
Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:
1/5 × 2.54 = 0.508
1/5 inch is 0.508 centimeters
