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NISA [10]
4 years ago
9

Write the equation of each line using the given information.

Mathematics
1 answer:
MrRissso [65]4 years ago
4 0

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

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

We need a slope and y-intercept to write in slope intercept form.

y=mx+b

A) y-1=\frac{1}{2}(x+4) or y=\frac{1}{2}x+3

B) y+1=-1(x-2)

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

D) y=-3x+8

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VashaNatasha [74]
A)y-intercept = 8       slope = up 4 right 4
b)y-intercept = -2      slope = down 2 right 3
   
3 0
4 years ago
What is the term for a turn of a figure around a fixed point?
Yanka [14]
Hey there! 

Rotation
is the term for a turn of a figure around a fixed point. During a rotation, a figure rotates around a center point by a specified angle. 

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4 0
3 years ago
Read 2 more answers
Multiply. (3.5x10^-5) (3x10^-10) express your answer in scientific notation.​
Len [333]

Answer:

5.69034 × 1011

Step-by-step explanation:

Decimal  

1234000000

Scientific Notation  

1.234 x 10^9

×10^  

9

1st Number  

1.234

×10^  

9

Operation  

2nd Number  

5.678

×10^  

11

3 0
3 years ago
The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years
nevsk [136]
If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes:  150*(0.96)

At the end of the 2 years its value becomes:  150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes:  150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹²    simplify with calculator.

<span>≈ 91.91

Value at the end of 12 years becomes ≈ $</span><span>91.91

I hope this helps.
</span>
8 0
3 years ago
Sophia has $2 to buy oranges and apples. Oranges cost $0.45 each and apples cost $0.25 each. How many oranges and apples can she
SOVA2 [1]

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the number of oranges

y-----> the number of apples

we know that

The inequality that represent this situation is

0.45x+0.25y\leq 2

The solution is the shaded area below the solid line between the positive whole numbers values of x and y

using a graphing tool

see the attached figure

3 0
3 years ago
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