Answer:
The coordinates of point D( 4,4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are E(10,4) and B(16,4)
'E' is the mid-point of segment BD
Let D(x₁, y₁) be a point
E = midpoint of segment BD
20 = x₁ + 16
20-16 = x₁
x₁ =4
<u><em>Step(ii):-</em></u>
4 + y₂ = 8
y₂ = 8-4 =4
The co-ordinates of point D( 4,4)
Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Answer:
29 seconds
Explanation
anchor dropped in to water at the rate = 2.5 m/s
so for one second = 2.5 m
so for 45 sec= 2.5 x 45 = 112.5 m
but it was already 40 m under water, so it have fallen from= 112.5-40= 72.5 m
so as we know the rate of falling was =2.5 m/s
so for 72.5 meter, it took = 72.5 /2.5= 29 sec
it took for anchor to get down to the water surface after it started dropping.
Answer:
7. 75.36 inches
8. 21 inches
9. 13 inches
Step-by-step explanation:
7. <em>Circumference = π × d</em>
The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.
8. <em>Circumference = π × d</em>
If we move variables around, <em>d = Circumference / π</em>
So, d = 65.94 / 3.14 = 21 inches.
9. To do this, let's figure out the diameter: <em>d = Circumference / π</em>
d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.
Answer:
slope is -5
y-intercept is -5
Step-by-step explanation:
Solve for y to write in y=mx+b
m is slope
b is y-intercept
5x+y=-5
Subtract 5x on both sides
y=-5x-5
slope is -5
y-intercept is -5
