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3 years ago

Multiply the polynomials 3(x+7) (show work pls)

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

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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

$M(t) = J(t)$

$8 + 32t = 52t$

$20t = 8$

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

$t = 0.4$

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

3 years ago

Geometry math question

Mamont248 [21]

JK = JH + HK

JK = 82

JH = 22

So, HK = 82 - 22 = 60, or choice (C).

3 0

3 years ago

Read 2 more answers

Find the measures of the interior angles and please tell me all angles

VLD [36.1K]

Angle A = 59
Angle B = 48

4 0

3 years ago

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

lutik1710 [3]

The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be $37.50.

<h3>When would the total cost be the same?</h3>

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

Combine similar terms: 7.5x - 5.5x = 10
Add similar terms: 2x = 10
Divide both sides by 2 : 10 /2 = 5

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

To learn more about cost, please check: brainly.com/question/25711114

#SPJ1

7 0

2 years ago

Need help asap plss.

yanalaym [24]

Answer:

EF = 20 cm

Step-by-step explanation:

Here, we want to find the length of EF

To do this, we use the principle of similar triangles

The similar triangles we are considering here will be ;

FEA and FBD

when two triangles are similar, the ratio of their corresponding sides are equal

Let us calculate DC first

we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides

Using the triangle EDC

15^2 = 12^2 + DC^2

DC^2 = 225-144

DC^2 = 81

DC = 9

So the entire length of BD is 9 + 12 = 21 cm

Thus, we have it that;

Let EF be x

so DF = 15 + x

Hence;

BD/DF = AE/EF

21/15+x = 12/x

21x = 12(15 + x)

21x = 180 + 12x

21x-12x = 180

9x = 180

x = 180/9

x = 20 cm

EF = 20 cm

6 0

3 years ago