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Fofino [41]
3 years ago
15

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of

the given equation.
(-5,8); y=1/5x-2

Write an equation for the perpendicular line in​ slope-intercept form.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

y = -5x - 17

Step-by-step explanation:

Linear equations, or lines, that are perpendicular to each other have opposite reciprocals for the value of slope.  For the given line, y = 1/5x - 2, the slope is 1/5 and the opposite reciprocal is -5.

Given the value of the slope and a given point on the second line, you can solve for 'b':

y = mx + b

8 = (-5)(-5) + b

8 = 25 + b

-17 = b

y = -5x - 17

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Figure ABCD is a parallelogram.
bogdanovich [222]
A = C (congruent angles)

Then: 4p+12 = 36

Solve for p

4p = 36 - 12

4p = 24

4p/4 = 24/4

p = 6

Answer is going to be A.
6 0
3 years ago
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A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13
ICE Princess25 [194]

Solution:

The probability of an event is expressed as

P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}

In a pack of 52 cards, we have

\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}

Thus, we have the probability to be evaluated as

P(ace)=\frac{1}{13}

8 0
1 year ago
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g100num [7]
Answer:

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Step-By-Step Explanation:
7 0
3 years ago
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
3 years ago
Please please help me with this.
puteri [66]

Answer:

B

Step-by-step explanation:

Since the inequality is < then the line separating the shaded and plain regions will be broken.

Thus graph A or B

Choose a test point in each shaded region and check validity of solution

From A choose (0, 2), then

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- 2 < 0 + \frac{4}{7} → - 2 < \frac{4}{7} ← True

Thus the graph representing the inequality is B

5 0
3 years ago
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