What is the sum or difference?<br> 5x4 + 474

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

$M(t) = J(t)$

So

$8 + 32t = 52t$

$20t = 8$

$t = \frac{8}{20}$

$t = 0.4$

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0

2 years ago

Find the radius of each circle. use 3.14for the value of Pie. round your answer to

muminat

9514 1404 393

Answer:

8.6 km

Step-by-step explanation:

The circumference of a circle is given in terms of its radius as ...

C = 2πr

Then the radius can be found from the circumference using ...

r = C/(2π)

Filling in the given values, we find the radius to be ...

r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km

The radius is about 8.6 km.

7 0

3 years ago

(2x-2) (x+5) what does x =

Lynna [10]

Answer:

a

x

2

+

b

x

+

c

=

0

the two roots of the equation take the form

x

1

,

2

=

−

b

±

√

b

2

−

4

a

c

2

a

So, start by adding

−

5

to both sides of the equation to get

2

x

2

+

x

−

5

=

5

−

5

2

x

2

+

x

−

5

=

0

Notice that you have

a

=

2

,

b

=

1

, and

c

=

−

5

. This means that the two solutions will be

x

1

,

2

=

−

1

±

√

1

2

−

4

⋅

2

⋅

(

−

5

)

2

⋅

2

x

1

,

2

=

−

1

±

√

41

4

You can simplify this if you want to get

x

1

=

−

1

+

√

41

4

≅

1.35078

and

x

2

=

−

1

−

√

41

4

≅

−

1.85078

4 0

1 year ago

Read 2 more answers

A triangle can have one right angle.<br> a. True<br> b. False

iragen [17]

True because a triangle must have 3 angles that add up to 180 degrees and, since a right angle is 90 degrees, it cannot have 2 right angles

3 0

3 years ago

When the equation is graphed is it linear or nonlinear ??

Keith_Richards [23]

Answer:

Nonlinear

Step-by-step explanation:

This is nonlinear because its parent function is y = $x^{2}$ . The parent function of a linear equation is y = x.

I hope this helps :))

8 0

3 years ago

Read 2 more answers

What is the sum or difference? 5x4 + 474