The ratio of a : b is 1 : 2
Step-by-step explanation:
A ratio is a relationship between two numbers indicating how many times the first number contains the second number
Ex: If there are eight oranges and six bananas, then the ratio of oranges to bananas is eight to six, and is written as 8 : 6, which is equivalent to the ratio 4 :3 in its simplest form
∵ a + b = 3a
- To find the ratio between a and b find b in terms of a
- Subtract a from both sides
∴ b = 2a
→ a : b
Substitute b by 2a
→ a : 2a
Divide both terms by a
→ 1 : 2
∴ a : b = 1 : 2
The ratio of a : b is 1 : 2
Learn more:
You can learn more about the ratio in brainly.com/question/4302397
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Answer: D.) 102 kilometres per hour
Step-by-step explanation:
The car travels 34 kilometres in 20 minutes, to find the rate at which the car travels in kilometres per hour, we find convert the time taken (given in minutes) to travel this 34 kilometres to hours.
By doing this, 20 minutes = (20/60) hours = 1/3 hours.
Now to determine the rate, the motion Formula is given by:
Rate of travel = distance/time.
Rate = 34 / (1/3)
Rate = 34 * 3
Rate = 102 kilometres per hour.
Answer:
<em>y = - x + 6 </em>
Step-by-step explanation:
<em>--</em><em> </em>Rhombus diagonals <u><em>are perpendicular and bisect</em></u> each other.
<em>--</em><em> </em>A( 
, 
) and B( 
, 
)
Coordinates of <u><em>the midpoint</em></u> of a segment AB are
( 
, 
)
and <u><em>formula of a slope</em></u> of the line segment AB is
m = 
<em>-- </em>If AB ⊥ CD then 
× 
= - 1
<em>-- </em><u><em>Slope-point of linear equation</em></u> is
y - = m( x - )
~~~~~~~~~~~~~~~~
M(0, 2)
T(4, 6)
= 
= 1
= - 1
Coordinates of the intersection of the diagonals are ( 
, 
) = (2, 4)
y - 4 = - 1(x - 2)
<em>y = - x + 6</em> <u><em>is slope-intercept form of the diagonal AH</em></u>
Answer:
option A)
(40, 96)
Step-by-step explanation:
Given that,
The coordinates of point K and J are
K(160,120)
J(-40,80)
x1 = 160
x2 = -40
y1 = 120
y2 = 80
P is (3/5) the line of the line segment from K to J
So, KP = (3/5) KJ and JP = (2/5) KJ
OR we will divide the length of KJ with the ratio 3 : 2 from K
m : n
3 : 2
m = 3
n = 2
by using this formula and putting values in it
xp = (m/m+n)(x2-x1) + x1
yp = (m/m+n)(y2-y1) + y1
xp = (3/3+2) (-40-160) + 160
yp = (3/3+2) (80-120) + 120
xp = 40
yp = 96
