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3 years ago

What is the slope of the line parallel to 7x + 4y = -16?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

The slope of the line that is parallel to the given line is $\frac{-7}{4}$

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = $\frac{-a}{b}$

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = $\frac{-a}{b}$

∴ The slope of the line = $\frac{-7}{4}$

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is $\frac{-7}{4}$

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The area of the trapezium is four times the area of the parallelogram. Work out the value of x

Rina8888 [55]

Answer:

2.5cm

Step-by-step explanation:

area of trapezium = 4 * area of parallelogram

1/2(a+b)*h=4* bh

1/2(5+11)*4= 4* 3.2x

8*4=4*3.2x

8/3.2=x

2.5cm=x

3 0

3 years ago

Write the exponent for the expression. <br> 1/8 x 1/8

kompoz [17]

Answer:

$8^{-2}$

Step-by-step explanation:

$2^{-2} = 1/4$

So:

$8^{-2} = 1/8*1/8$

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2 years ago

A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much do

Lilit [14]

From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.

<h3>What is the area of the field?</h3>

The area of the field is calculated as follows:

Area of square = 450 ft × 450 ft = 202500 square feet

Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet

Area of field = 229500 square feet

Cost of seeding the field = 229500 × $2 = $459000

Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft

1 ft = 1/3 yard

1860 ft = 1860 × 1/3 yards = 620 yards

Cost of fencing = 620 × $27 = $16740

Total cost of seeding and fencing = $475200

Therefore, it will cost the farmer $475740 to fence and seed the pasture.

Learn more about area and perimeter at: brainly.com/question/19819849

4 0

2 years ago

An 80% confidence interval is (150, 170). What is the margin of error?

Viefleur [7K]

Answer:

Step-by-step explanation:

it is what it is

5 0

3 years ago

Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative

Jet001 [13]

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

<u>What are Coordinates?</u>

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

To learn more about ordered pairs visit:

brainly.com/question/19267542

#SPJ1

4 0

1 year ago