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BartSMP [9]
3 years ago
12

15 points!!!! Write an equation in point-slope form for the line through the given point with the given slope

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

The Answer is: c. y - 3 = 5(x - 8)

Step-by-step explanation:

The point slope form is:

y - y1 = m(x - x1)

Substitute in the given point (8,3) and the slope m = 5:

y - 3 = 5(x - 8)

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2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
Ber [7]

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

The speed of train A would be

82 - 16 = 66 miles per hour.

6 0
3 years ago
Solve for x please!
Elina [12.6K]

x^2 = 81/100

Let's take the square root of each side

x = 0.9 and -0.9

3 0
4 years ago
Smplify the expression:<br> 5+6i/4+6i
skelet666 [1.2K]
The answer would be 5 + 15i/2.

1. 5 + 3i/2 + 6i

2. 5 + (3/2i + 6i)

3. 5 + 15i/2.
5 0
3 years ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
3 years ago
Read 2 more answers
A.
vfiekz [6]
Find, days Lydia takes to make 86 bracelets
+ number of bracelets she haven’t made: 86-14=72
+ days it take to Finnish: 72/3=24
So, she needs 24 days to make 86 bracelets
5 0
3 years ago
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