Answer:
Step-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
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Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
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Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
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<em>Additional comment</em>
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.
Answer:
(5x−1)(x−9)
Step-by-step explanation:
Factorise 5x²−46x+9
5x2−46x+9
=(5x−1)(x−9)
Answer:
19
Step-by-step explanation:
sum means answer to an addition problem, so 41 - 22 = 19, so 22 + 19 = 41
36 because NQ is 18 and the tic mark means that each half is equal to each other, and 18+18=36 :D
<h2>Solution (1) :</h2>
∠<em>y</em><em> </em>and ∠<em>x</em> are alternate interior angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (2) :</h2>
∠y and ∠x are alternate interior angles . Both of these angles will have an equal angle measure when they lie on two parallel lines with a transversal .
<h2>Solution (3) :</h2>
∠y and ∠x vertically opposite angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (4) :</h2>
∠y and ∠x are adjacent angles as well as a linear pair . These angles will sum up to form 180° .
