Answer:
Step-by-step explanation:
Depends on what kind of rotation you would be doing. But for example, if you are rotating 90 degrees about a point on a graph, your point (x, y) changes to (-y, x). Then another 90 degrees would be (-x, -y).
Answer:
if ∠2 = 160° then ∠8 = ∠2 and ∠3 = 360° - 160° and ∠5 = ∠3
SO BASICALLY,
∠2 = 160°
∠3 = 200°
∠5 = 200°
∠8 = 160°
keep in mind though that this depends on the angle measure of ∠2
ok bye
Given that the difference between the roots of the equation
is
.
Recall that the sum of roots of a quadratic equation is given by
.
Let the two roots of the equation be
and
, then
. . . (1)
Also recall that the product of the two roots of a quadratic equation is given by
, thus:
. . . (2)
From (1), we have:
Substituting for alpha into (2), gives:
Answer:
x < 4
Step-by-step explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4
Answer: 4/3 hours or 1 1/3 hours
Step-by-step explanation:
From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.
Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.
Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.
When they both work together, we will add their fraction of work done in one hour together. This will be:
= 1/4 + 1/2
= 3/4
This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:
= 1 ÷ 3/4
= 1 × 4/3
= 4/3 hours
= 1 hour 20 minutes.
In one
