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Vilka [71]
3 years ago
10

If you know a point on a line and you know the equation of a line parallel to this line, explain how to write the line’s equatio

n.
Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

Step-by-step explanation:

First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept

EX:

y=x+1

find equation of line the is parallel and passes through (1, 1)

Same slope, so y=x+b

then plug in the point

1=1+b

b=0

our line would be y=x

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What is the perimeter of triangle ABC ?
blagie [28]

Answer:

9+\sqrt{41}

Step-by-step explanation:

From C-A, it goes from y=1 to y=5, so that 4 units

From A-B, it goes from x = -1 to x = 4, that is 5 units

Now, to find distance from B to C, we need to use the distance formula:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where the variables are the respective points of B and C,

B (4,5) & C(-1,1)

So x_1 =4, y_1=5, x_2=-1, y_2=1

Plugging into the formula we get:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}

Summing it all (perimeter is sum of 3 sides):

Distance = 4+5+\sqrt{41}\\ =9+\sqrt{41}

3rd answer choice is right.

3 0
3 years ago
A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807,
torisob [31]

Let, number of double rooms and single rooms are d and s.

d + s = 26     ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807   ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

4 0
2 years ago
A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What sta
tekilochka [14]

Answer:

\text{A. }\cos \theta = \frac{3}{5}

Step-by-step explanation:

See attached file for complete work.

Download pdf
7 0
2 years ago
1. If the temperature drops from 13.5°F to -13.5°F, what is the change in temperature?
mrs_skeptik [129]
The change of temperature is 27 and the perimeter is 324
6 0
3 years ago
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Gi
Rama09 [41]

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

3 0
3 years ago
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