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4 years ago

What is the slope of a line parallel to the line whose equation is 5x+y=-9

Mathematics

1 answer:

Rzqust [24]4 years ago

8 0

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Given

5x + y = - 9 ( subtract 5x from both sides )

y = - 5x - 9 ← in slope- intercept form

with slope m = - 5

Parallel lines have equal slopes, thus

The slope of a parallel line to the given equation is m = - 5

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(Refer to the attached image)

gayaneshka [121]

Explanation:

Provided <u>2 length sides</u> and <u>one angle</u> also need to find <u>one missing side</u>.

So, use cosine rule:

a² = b² + c² - 2bc cos(A)

c² = 9² + 11² - 2(11)(9) cos(57)

c² = 94.16147

c = √94.16147 = 9.70 cm

d² = 5² + 7² - 2(5)(7) cos(48)

d² = 27.16

d = √27.16 = 5.21

5² = 7² + 9² - 2(7)(9) cos(H)

-126cos(H) = 25 - 49 - 81

cos(H) = -105/-126

cos(H) = 5/6

H = cos⁻¹(5/6) = 33.56°

8² = 4² + 7² - 2(4)(7) cos(J)

-56cos(J) = 64 - 16 - 49

cos(J) = -1/-56

J = cos⁻¹(1/56) = 88.98°

Passcode: 3142

8 0

2 years ago

The area of a rectangular playground is 16 square yards. The length of the playground is 4 times longer than

Alexxandr [17]

length = 8 yd and width = 2 yd

So, Option D is correct.

Step-by-step explanation:

Area of rectangular playground = 16 square yards

Width of playground = w

Length of playground = l = 4w

We need to find length(l) and width(w)

The formula used is:

$Area = Length * Width$

Putting values:

$Area = Length * Width\\16=4w*w\\16=4w^2\\w^2=\frac{16}{4}\\w^2=4\\Taking\,\,square\,\,root:\\\sqrt{w^2}=\sqrt{4}\\ w=\pm 2$

Since width of rectangle is always positive, so we will take w = 2

So. Width = 2

Length = 4w = 4(2) = 8

Hence, length = 8 yd and width = 2 yd

So, Option D is correct.

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

3 0

3 years ago

Would you receive any change if you use $200 to buy a book for $9.90, a new television for $179.97, and a new CD for $9.99? What

Lilit [14]

You’d receive back exactly 14 cents.

3 0

3 years ago

Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

inn [45]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-6, 6) and B(12, 3). Substitute:

$m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}$

Therefore we have $y=-\dfrac{1}{6}x+b$ .

Put the coordinates of the point B to the equation:

$3=-\dfrac{1}{6}(12)+b$

$3=-2+b$ <em>add 2 to both sides</em>

$5=b\to b=5$

Answer:

$m=-\dfrac{1}{6}\\\\b=5$

8 0

3 years ago

The pth percentile is a value such that approximately a. p percent of the observations are less than the value and (100 - p) per

kogti [31]

Answer:

p percent of the observations are less than the value and (100 - p) percent are more than this value.

Step-by-step explanation:

Given : The pth percentile is a value such that approximately

Solution :

Definition : A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

So, The pth percentile means p percentage of observations in a group of observations falls bellow the value

So, (100-p) percentage of observations in a group of observations falls above the value

So, Option a is true

Hence p percent of the observations are less than the value and (100 - p) percent are more than this value.

5 0

3 years ago