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notsponge [240]
3 years ago
7

A train travels at a constant speed of 24

Mathematics
2 answers:
guapka [62]3 years ago
4 0

Answer:

d=24h

Step-by-step explanation:

The table is

h        d

1        24

2       48

3       72

4       96

This relation can be presented as the following linear equation

d=24h

Because, the distance is defined as the product between the speed and the time. Also, we obtain this relation, by finding the slope of the given vales

m=\frac{96-24}{4-1}=\frac{72}{3}=24

Then, using one point, the slope and the point-slope formula, we have

y-y_{1}=m(x-x_{1})\\y-24=24(x-1)\\y=24x-24+24\\y=24x

Where y=d and x=h.

Therefore, the expression that models this situation is

d=24h

Masja [62]3 years ago
3 0

Answer:

Step-by-step explanation:

d = 24 x h

since d is the distance in order to get that we need to multiply the speed times time and get the answer

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I need help so someone plz give me the steps and answer and graph it so i can understand how to solve these types of problems ag
Eddi Din [679]
Y + 6 = 4/5( x + 3)
y + 6 = 4/5x + (3(4))/5

y + 6 = 4/5x + (12)/5
y + 6 = 4/5x + 12/5
y + 6 (-6) = 4/5x + 12/5 (-6)
y = 4/5x + 12/5 (- 30/5)


y = 4/5x - 3.6 ( y = mx + b formula)

4/5 = 0.8

y = 0.8x - 3.6

x = 1
y = 0.8(1) - 3.6
y = - 2.8

x = 2
y = 0.8(2) - 3.6
y = 1.6 - 3.6
y = -2

x = 3
y = 0.8(3) - 3.6
y = 2.4 - 3.6
y = - 1.2

x = 4
y = 0.8(4) - 3.6
y = 3.2 - 3.6
y =  - 0.4

x = 5
y = 0.8(5) - 3.6
y = 4 - 3.6
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etc.

graph  using the (x,y)

connect the dots

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8 0
3 years ago
Read 2 more answers
Identify the prime numbers in the following list 5 7 12 11
Elis [28]

Answer:

<h2>5, 7, 11</h2>

Step-by-step explanation:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

A prime number has only two divisors: 1 and itself.

Therefore, the prime numbers are:

5, 7 and 11.

12 is not a prime because 12 = 2 × 6 = 3 × 4.

12 has six divisors: 1, 2, 3, 4, 6 and 12.

7 0
3 years ago
System by elimination <br><br>2x - y = -3 <br>-2x - 8y = 12​
topjm [15]

Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

7 0
2 years ago
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
ch4aika [34]
(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
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6 0
3 years ago
Can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
lara [203]

Answer:

cos B = \frac{7}{25}

tan B = \frac{24}{7}

sin B = \frac{24}{25}

Step-by-step explanation:

In the right triangle, there are three sides and 2 acute angles

  • Hypotenuse ⇒ the opposite side of the right angle
  • Leg1 and Leg 2 ⇒ the sides of the right angle

The trigonometry functions of one of the acute angles Ф are

  • sin Ф = opposite leg/hypotenuse
  • cos Ф = adjacent leg/hypotenuse
  • tan Ф = opposite leg/adjacent leg

In Δ ACB

∵ ∠C is the right angle

∴ AB is the hypotenuse

∵ AC is the opposite side of ∠B ⇒ leg1

∵ CB is the adjacent side of ∠B ⇒ leg2

→ By using the ratios above

∴ cos B = \frac{CB}{AB} , tan B = \frac{AC}{CB} , sin B = \frac{AC}{AB}

∵ CB = 7, AB = 25, AC = 24

∴ cos B = \frac{7}{25}

∴ tan B = \frac{24}{7}

∴ sin B = \frac{24}{25}

6 0
3 years ago
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