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Dvinal [7]
3 years ago
12

What is the slope of a line that is perpendicular to the line of 2x+4y=12

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

make the equation slope-intercept form:

subtract 2x from both sides:

4y = -2x + 12

divide by 4 to get y by itself:

y = -1/2x + 3

to make the new line perpendicular to the existing line, completely flip the slope of the line:

y = 2x + 3

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Marina babysits her neighbours' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a
zhuklara [117]

Answer:

She spends $15 per week on coffee

Step-by-step explanation:

Marina babysits her neighbours' kids once a week and earns $40 each night.

She buys coffee three times a week for $5.

She spends 3 *$5 per week on coffee

She spends $15 per week on coffee

4 0
3 years ago
Which equation below and solution for x does the model represent?
BlackZzzverrR [31]

Answer:

Option D

Step-by-step explanation:

Cost of 4 shirts all together = $85

Model given in the picture attached will be,

x + x + x + x = 85

4x = 85

\frac{4x}{4}=\frac{85}{4}

x = 21.25

Therefore, Option D will be the correct option.

8 0
3 years ago
Find the following amount What is 25% of 4
dolphi86 [110]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The diagram below shows the graph of the quadratic function f (x) = ax² + 8x + c. calculate the value for each of the following.
Alexxandr [17]

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

m = \frac{-3-1}{2} = \frac{-4}{2} = - 2

Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and

f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)

Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2

Thus

f(x) = 2x² + 8x + 6

Substitute m = - 2 into the equation for value of n

n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2

Hence

c = 6, m = - 2, a = 2, n = - 2

3 0
3 years ago
Read 2 more answers
Assume Jones Manufacturing begins January with 10 units of inventory that cost $10 each. During January, the following purchases
Ratling [72]

Answer:

10.44

Step-by-step explanation:

The weighted average cost per unit method seeks to get the cost of goods sold as an average of all cost of goods in the inventory as at the time of sales.

Part of its objective is to strike a balance between the (FIFO and LIFO) inventory valuation methods.

Beginning inventory ( Jan) = 10 units

Cost of beginning inventory per unit = $10

Total cost of beginning inventory = Cost * Number of units

In this case (10*$10) = $100

Additional purchase (Jan 5) = 8 units

Cost of additional purchase per unit = $11

Total cost of additional purchase = 8 * $11 = $88

Weighted average cost per unit at the time 11 units are sold on January 7 = Total cost of units at that time / number of units available at that time.

= ($100+ $88) / (10+8)

= 188/18

=10.44 (approximated to 2 decimal places)

I hope this helps make the concept clear.

7 0
4 years ago
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