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iren [92.7K]
2 years ago
10

Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5. ​

Mathematics
2 answers:
Licemer1 [7]2 years ago
5 0
<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>
  • The slopes of perpendicular lines are opposite reciprocals of each other.
  • The simplest way to determine a number's reciprocal is to flip it over, like so:
  • -2 ~ - > -\displaystyle\frac{1}{2}
  • Now, change the sign:
  • \displaystyle\frac{1}{2}
  • So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
  • Now, let's find the line's equation.
  • First, let's write it in Point-Slope Form:
  • y-y1=m(x-x1)
  • y-(-2)=1/2(x-4)
  • y+2=1/2x-2 (Point slope)
  • Now, convert to slope-intercept:
  • y=1/2x+2-2
  • y=1/2x

Hope it helps.

Do comment if you have any query.

klasskru [66]2 years ago
3 0

Answer:

y=1/2x

Step-by-step explanation:

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belka [17]
1/4 (v - 7) = 2

1/4v - 1/4 (7/1) = 2

1/4v - 7/4 = 2

1/4v = 15/4

Multiply by 4/1 on both sides to get v

(4/1) 1/4v = 15/4 (4/1)

v = 60/4

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6 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
3 years ago
Linda's container of cranberry juice holds 200 ml. Harries container holds 7/8 as much juice. How many milliliters of cranberry
Aleks04 [339]

200/1 times 7/8 = 1400/8 = 700/4 = 350/2 = 175

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Deandre just bought 9 bags of 15 cookies each. He already had 6 cookies in a jar. How many cookies does deandre have now?
djverab [1.8K]

Answer:

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Step-by-step explanation:

amount of cookies

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3 years ago
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dolphi86 [110]

Answer:

\boxed{\bold{7\sqrt{5}}}

Step By Step Explanation:

Simplify \bold{3\sqrt{8}\cdot \:0}

\bold{0}

Rewrite Equation

\bold{7\sqrt{5}-0}

Simplify \bold{7\sqrt{5}-0}

\bold{7\sqrt{5}}

3 0
3 years ago
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