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-Dominant- [34]
3 years ago
10

Determine the intercepts of the line that passes through the following points. (-10,-28) , (-6,-21) , ( -2,-14)

Mathematics
1 answer:
____ [38]3 years ago
8 0
The line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

Picking the last two points,

(-2 - -6)(y - -21) = (-14 - -21)(x - -6)

4(y+21) = 7(x+6)

When x=0

4y + 84 = 42

4y = -42

y = -21/2

Answer: -21/2

We never used the first point, let's check it's on the line


4(y+21) = 7(x+2)


4(-28 + 21) = -28

7(-10 + 6) = -28, good

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Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th
mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

  • L is the length of the rectangle
  • W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = \frac{1}{3} yard

∴ 1 foot² = (\frac{1}{3})^{2}=\frac{1}{9} yard²

∴ 15 feet² = 15 × (\frac{1}{9}) = \frac{5}{3} yards²

∴ The area of the blanket is  \frac{5}{3} yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  \frac{5}{3} × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0
3 years ago
Finding what percent one number is of another ?
cupoosta [38]
The answer to this question is

1. 60%
2. 30%
8 0
2 years ago
Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answe
mamaluj [8]

Answer:

.84

Step-by-step explanation:

21/25 = .84

3 0
2 years ago
What are the solutions to the equation x - 7/x = 6
bearhunter [10]

The answer is C that is X=7 and X=-1

multiple x through the given equation to get rid of a fraction. It will be

{x}^{2}  - 7 = 6x

After that bring 6X to the LHS of the equation

so that it will look like the general equation that is

{x}^{2}  - 6x - 7 = 0

Use the quadratic formula (or any other approach to find the values of x

You will arrive at

x = 7. - 1

3 0
3 years ago
What is the missing number in the series?<br><br> 1, 16, 81, __, 625, 1296
Alinara [238K]

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

6 0
2 years ago
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