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svet-max [94.6K]
3 years ago
8

What is the equation of the line that passes through the point (4,7) and has a slope of o?

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

The equation of the line that passes through the point (4,7) and has a slope of 0 will be:

  • y=7

Step-by-step explanation:

As we know the equation of a line in a slope-intercept form of an equation is

y = mx + b

Here,

  • m is the slop
  • b is the y-intercept

so

substituting the point (4,7) and slope m=0

y = mx + b

7=0(4)+b

7=0+b

b=7

Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:

y = mx + b

y=0x+7

y=7

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Solve 7|3f + 4| = 91 for f. A. –29 or 312⁄3 B. 3 or –17⁄3 C. –3 or 17⁄3 D. –312⁄3 or 29
ryzh [129]

Answer:

B

Step-by-step explanation:

Given

7 | 3f + 4 | = 91 ← divide both sides by 7

| 3f + 4 | = 13

The absolute value function always returns a positive value, but the expression inside can be positive or negative. Thus there are 2 possible solutions.

Solve 3f + 4 = 13 → 3f = 13 - 4 = 9 ⇒ f = 3

Solve 3f + 4 = - 13 ⇒ 3f = - 13 - 4 = - 17 ⇒ f = - \frac{17}{3}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

f = 3 : 7| 9 + 4| = 7| 13| = 7 × 13 = 91 ← True

f = - \frac{17}{3}

7 | - 17 + 4| = 7| - 13| = 7 × 13 = 91 ← True

Hence the correct solutions are B

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