Answer:
6m + 2
Step-by-step explanation:
To simplify the expression you must have to use the distributive property:
(3m + 1)(2)
2 x 3m = 6m
2 x 1 = 2
6m + 2
Answer:
35
Step-by-step explanation:
Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.
The LCM will be abx = 14x, so we have ab = 14.
Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...
a=2, b=7
For a=2 and ax=10, we have x=5.
The dad's age is bx = 7·5 = 35.
Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).
<h3>What are coordinates?</h3>
A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
For interpreting we have to find the relation between (1,15) and (4,60)
We have, (1,15)
For x- coordinate 1, y- coordinate will be 15
Now,
let us take x- coordinate=2 then y- coordinate =30
again, if x-coordinate = 3 then y-coordinate = 45
lastly, if the x-coordinate =4 then y-coordinate = 60
That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.
Learn more about coordinates here:
brainly.com/question/23450276
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Answer:
2.5 is less than 1,950.
Step-by-step explanation:
The decimal place is at the end of 1,950.
The decimal place is in the middle of the 2 and the 5.
Since 2.5 decimal place is closer, that means 2.5 has a lower value than 1,950.0.
You can subtract both values.
1,950 - 2.5 = 1,947.50, if it’s greater than 0, it means it has a lower value.
0 < 1,947.50.
Therefore, 2.5 < 1,950
Answer:
C.
Step-by-step explanation:
x is bisecting the baseline (cutting it in 2 halves of 6).
the third angle in the main overall triangle is 60 degrees.
remember, all angles in a triangle always add up to 180 degrees.
so, 180 - 60 - 60 = 60.
that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.
=> y = 12
and now using Pythagoras to calculate the height (x) of the triangle :
y² = x² + 6² (remember, this side is only half the baseline)
12² = x² + 6²
144 = x² + 36
x² = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
