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siniylev [52]
2 years ago
5

Find the equation of a line passing through (-3,-1) and (6,-7)

Mathematics
1 answer:
Alexandra [31]2 years ago
3 0

Answer:

Step-by-step explanation:

y = mx + b

m = Δy/Δx = (-1 - (-7)) / (-3 - 6) = 6/-9 = -2/3

y = (-2/3)x + b

-1 = (-2/3)(-3) + b

-1 = 2 + b

b = -3

y = (-2/3)x - 3

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Jim worked 40 hours last week, plus 8 overtime hours at the time-and-a-half rate. His gross pay was $884. A. What was his hourly
marishachu [46]

Answer:

Hourly rate: $17.

Hourly overtime rate: $25.5.

Step-by-step explanation:

Let x represent Jim's hourly pay.

We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be 40x.

We are also told that his over time pay is time-and-a-half rate that is 1.5x.

The amount earned for working 8 overtime hours would be 8\cdot 1.5x=12x.

Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:

40x+12x=884

52x=884

\frac{52x}{52}=\frac{884}{52}

x=17

Therefore, Jim's hourly rate is $17.

Overtime rate would be 1.5x\Rightarrow1.5(17)=25.5

Therefore, Jim's hourly overtime rate is $25.5.

7 0
3 years ago
6(3b-5) b=5<br>is the value 60​
Andrews [41]

Answer:

Yes

Step-by-step explanation:

6((3×5)-5)

6(15-5)

6(10)

60

Hope this helps!! :)

7 0
2 years ago
When the center of Earth is 3.8 × 105 kilometers from the center of the moon, the force of gravity between Earth and the moon is
kolezko [41]
Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.

Let m = mass of the moon.
Then
F = (G*M*m)/r^2
or
m = (F*r^2)/(G*M)

In SI units,
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
    = 7.4125×10²⁸ kg

Answer:  7.4125x10²⁸ kg
5 0
3 years ago
The latitude at Machu Picchu is -13.16315098.
Tanya [424]

Answer: - 13 degrees, 9 minutes, 47.34353 seconds

Step-by-step explanation:

if i got it right please give me brainiest

3 0
1 year ago
I need help to see if these are true or false.
FinnZ [79.3K]

Answer:

1. false

2. true

3. true

4. false

5. false

6. true

Step-by-step explanation:

7 0
3 years ago
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