Answer:
It's the first choice y = (-5/2)x - 1.
Step-by-step explanation:
First find the slope of the line 5x + 2y = 12 by converting to slope-intercept form.
5x + 2y = 12
2y = -5x + 12
y = (-5/2)x + 6 so the slope is (-5/2).
The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:
y - 4 = (-5/2)(x - -2) (the point-slope form)
y - 4 = (-5/2)(x + 2)
y = (-5/2)x - 5 + 4
y = (-5/2)x - 1 (answer)
Hello!
The least common denominator is like the least common multiple. As you can see, these numbers already have the same denominators, and cannot be divided any further as they are prime.
Therefore, our answer is 3.
I hope this helps!
Answer:
27.385 cm longer would we expect Mike's arm span to be than George's.
Step-by-step explanation:
We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:
y= 4.5x + 0.977 x
where y= arm span
and x= height
Given:
Mike's height=x = 175 cm
so Mike's arm span= y= 4.5 x + 0.977 x
= 4.5* (175) + 0.977* (175)
= 787.5 + 170.975
= 958.475 cm
George's height = x = 170 cm
so George's arm span= y= 4.5 x + 0.977 x
= 4.5* (170) + 0.977* (170)
= 765 + 166.09
= 931.09 cm
Mike's arm span longer than George's = Mike's arm span - George's arm span
= 958.475 - 931.09
= 27.385 cm.
Answer:The team won 15 games
Step-by-step explanation:
Given no of soccer games =50
Ratio of wins to losses =3:7
Let no of wins =
and no of losses =
Now
Dividing both sides by 10
x=5
So no of wins =3x =
=15
We found the answer as 10 parts equals 50
So 3 parts equals 15
