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grin007 [14]
3 years ago
7

What is the equation of a line that is perpendicular to the line y=- 1/4 x-1 and passes through the point (3, 7)?

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

B. y = 4x - 5

Step-by-step explanation:

Line y = - 1/4 x - 1, has slope = - 1/4.

For perpendicular line slope should be negative reciprocal and = 4.

Slope point form is y - y1 = m(x - x1).

y - 7 = 4 (x - 3)

y - 7 = 4x - 12

y = 4x - 5

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Reptile [31]
-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24 
y=2.21
x=53/2
x=26.5
3 0
3 years ago
Kanna wants to buy 6 of flowers. Each flower cost $1.30 but the bundle of 6 cost $7.50. What is the better deal for Kanna.
Nat2105 [25]

Answer: 6 for $7.50

Step-by-step explanation:

6 * 1.30 = $7.80

6 for $7.50

7 0
2 years ago
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dedylja [7]

Answer:

John earns $ 14.00 for two hours of work

Step-by-step explanation:

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4 0
2 years ago
A prize wheel is divided into 12 equally likely spaces labeled 1 to 12.
ikadub [295]

Answer:

Events E and F are independent.

Step-by-step explanation:

E = {multiple of 3}  = {3, 6, 9, 12}

P(E) = 4/12

F = {even number}  = {2, 4, 6, 8. 10, 12}

P(F) = 6/12

E and F = {even and multiple of 3} = {6, 12}

P(E∩F) = 2/12

In order for two events to be independent the following relationship must be true:

P(E)*P(F) = P(E\cap F)

Testing this property:

P(E)*P(F) = \frac{4}{12}*\frac{6}{12}=\frac{24}{144}=\frac{1}{6}    \\P(E\cap F) = \frac{2}{12}=\frac{1}{6} \\P(E)*P(F) = P(E\cap F)

The relationship holds true, thus events E and F are independent.

4 0
3 years ago
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular pr
lesantik [10]

Answer:

Finding the product of 9, 10 and 9 ; 810

Step-by-step explanation:

Given that :

Length = 10 feets

Width = 9 feets

Height = 9 feets

The volume of a rectangular prism is obtained by :

Length * width * height

The volume could be obtained by taking the product of 10, 9 and 9

Hence, the volume of the rectangular prism is :

(10 * 9 * 9) feet³ = 810 feet³

Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810

5 0
3 years ago
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