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2 years ago

Complete the sentences below based on the graph of the function. Please help!

Mathematics

1 answer:

Gnom [1K]2 years ago

7 0

Answer:

20 km
20 km/h
5 km/h

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.

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.

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.

_____

<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.

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2 years ago

Describe the relationship between the terms in the sequence 6, 18, 54, 162, then write the next three terms in the sequence

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2 years ago

Express 20% as a fraction in its lowest form? Thanks

lilavasa [31]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ 20% as as a fraction in lowest terms is $\frac{1}{5}$

Percents are out of 100% so write 20% out of 100% as a fraction:

$\frac{20}{100}$

Both the numerator and denominator can be divided by 20 so once divided, you get $\frac{1}{5}$

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2 years ago

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We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying

melomori [17]

Answer:

The proof is given below.

Step-by-step explanation:

Given m∠AEB = 45° and ∠AEC is a right angle. we have to prove that EB divides ∠AEC into two congruent angles, it is the angle bisector.

Given ∠AEC=90° (Given)

∠AEC=∠AEB+∠BEC

⇒ 90° = 45° +∠BEC (Substitution Property)

By subtraction property of equality

⇒ ∠BEC = 90° - 45° = 45°

Hence, both angles becomes equal gives ∠AEB≅∠BEC

Since EB divides ∠AEC into two congruent angles, ∴ EB is the angle bisector.

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2 years ago

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Tim is now earning $500 per week after receiving an increase of $45 per week. What was Tim's previous weekly salary

Mars2501 [29]

Now Tim gets $500 after it $45 was added to what he had last week

That means that
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Subtract $45 from $500
$500-$45= $455

If you're not sure check your work
If I make $455 now and next week I get $45 more next week
$455+$45=$500
Next week I make $500

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