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mrs_skeptik [129]
3 years ago
15

HELP PLEASEE!!! I just need help with the 2 boxes

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

y= x - 300

y = -246 -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

m = \frac{y_2  - y_1}{x_2 - x_1}

From the table, we can say that:

(x_1,y_1) = (0,-300)

(x_2,y_2) = (300,0)

So, we have:

m = \frac{0  -(-300)}{300 - 0}

m = \frac{0 +300}{300}

m = \frac{300}{300}

m = 1

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-300) = 1(x - 0)

y +300 = 1(x)

y +300 = x

y= x - 300

(b) When x = 54

Substitute 54 for x in y= x - 300

y = 54 - 300

y = -246

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sergeinik [125]

Answer:

∠ 4 = 130°

Step-by-step explanation:

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7 0
2 years ago
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
kari74 [83]

Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
3 years ago
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