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Marizza181 [45]
3 years ago
5

Which linear equation represents a line with a slope of -7 and a y-intercept of 12

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

<u>Answer</u><u> </u><u>→</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>7</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u>

Step-by-step explanation:

General equation of a line:

\hookrightarrow \: { \tt{y = mx + c}} \\

  • m is the slope
  • c is the y intercept

From the question;

m is -7

c is 12

{ \tt{y =  - 7x + 12}}

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Round to the nearest tenth.
inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

CosA = adjacent/hypotenuse

CosA = 10/17

CosA = 0.5882

By use of the calculator or table of values,

A = 53.97

Approximately to the nearest tenth,

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6 0
3 years ago
Question: A box of chocolates contains square chocolates, which weigh 10 g each, and round chocolates, which weigh 8 g each. The
Viktor [21]

Answer: the box contained 9 square chocolates and 15 round chocolates.

Step-by-step explanation:

Let x represent the number of square chocolates contained in the box.

Let y represent the number of round chocolates contained in the box.

The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that

10x + 8y = 210- - - - - - - - - - -1

The number of round chocolates is 3 less than twice the number of square chocolates. It means that

y = 2x - 3

Substituting y = 2x - 3 into equation 1, it becomes

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26x = 234

x = 234/26

x = 9

y = 2x - 3 = 2 × 9 - 3

y = 18 - 3

y = 15

3 0
3 years ago
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