The answer is B. for the ineq
Answer: option B and D (1000m/km and minute/60 second)
In this question, we have two unit that needed to be converted, kilometer/minutes into meter/second.
First, we need to convert km into the meter. One kilometer is equal to 1000 meter. To change kilometer into the meter, the unit used for multiplication should be 1000m/km which is option B.
Then we need to convert minute into the second. One minute is equal to 60 seconds. To change "/minute" into "/second" the multiplication unit should be minute/60 second which was option D
Answer:
y = 7x - 48
Step-by-step explanation:
To find the equation of the line
y = mx + c
Step 1 : find the slope
( 6, -6) ( 8, 8)
x_1 = 6
y_1 = -6
x_2 = 8
y_2 = 8
Insert the values into
m =( y_2 - y_1) /( x_2 - x_1)
m - slope
m = (8 - (-6)) / (8 -6 )
m = 8 +6 / 8 - 6
m = 14 / 2
m = 7
Step 2: substitute slope into intercept form equation
y = mx + c
y = 7x + c
Step 3: substitute either point into the equation in step 2
y = 7x + c
Let's pick point ( 8,8)
y = 8
x = 8
y = 7x + c
8 = 7(8) + c
8 = 56 + c
8 - 56 = c
c = 8 - 56
c = -48
Substitute the value of c back into the equation
y = 7x + c
y = 7x - 48
The equation of the line is
y = 7x - 48
Answer:
OM = ON by using concurrency of Δs BOM and DON
Step-by-step explanation:
In the figure ABCD:
∵ AB // CD
∵ CB // AD
∵ In any quadrilateral If every two sides are parallel then
it will be a parallelogram
∴ ABCD is a parallelogram
∴ AC and BD bisects each other at O ⇒ (properties of parallelogram)
∴ OD = OB ⇒ (1)
∵ BC // AD
∴ m∠CBD = m∠ADB ⇒ alternate angles
∵ M ∈ BC , N ∈ AD , O ∈ BD
∴ m∠MBO = m∠NDO ⇒ (2)
∵ BD intersects MN at O
∴ m∠MOB = m∠NOD ⇒ (3) (vertically opposite angles)
From (1) , (2) and (3)
∴ ΔBOM ≅ ΔDON
∴ OM = ON
Answer:
24, 14
Step-by-step explanation:
x + y = 38
x = 10 + y
You can substitute (10+y) into the top equation where the x is.
10 + y + y = 38
10 + 2y = 38
2y = 28
y = 14
Now plug 14 in for y in either equation to get x
x = 10 + 14
x = 24
