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Ket [755]
3 years ago
7

Which of the following ordered pairs represents a solution to the linear inequality y<6x-4? A. (0,3) B.(0,11) C. (0,-5) D.(0,

4)

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

<u>Option C. (0,-5)</u>

Step-by-step explanation:

See the attached figure.

As shown the shaded area represents the solution of the given inequality:

y < 6x - 4

The given options are the points:

A. (0,3) B.(0,11) C. (0,-5) D.(0,4)

Comparing the given points to the graph.

So, the point that will lie at the shaded area represent  solution to the linear inequality.

So, point (0,-5) is a solution to the linear inequality.

The answer is <u>option C. (0,-5)</u>

Note: the line y = 6x-4 is graphed using the table on the graph.

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a farmer has planted 0.3 of his orchard with cherry trees. the orchard is 8.59 acres in size. how many acres are planted with ch
aliina [53]
All you have to do is multiply .3x8.59, which is 2.577 acres.
5 0
3 years ago
Y = 2x^2
GarryVolchara [31]

Answer:

y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)

Step-by-step explanation:

all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)

If a is positive then the parabola opens up,

the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises

the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis

8 0
3 years ago
How do you solve this? 4x(a-4)
masya89 [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the area of an octagon whose perimeter is 120 cm.
stira [4]

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 cm^{2}

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

P=8a

and the area of an Octagon is given by

A=2a^{2}(1+\sqrt{2})

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15

Now, we calculate the area

A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}

5 0
3 years ago
Find the measure of XCY. PLEASE HELP ME AND SHOW WORK
Dovator [93]

Answer:

Measure of angle XCY is 60°.

Step-by-step explanation:

"Measure of all inscribed angles by the same arc in one segment of the circle are equal"

Using this property in the given circle,

m∠XWY = m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

By substituting the value of 'x' in the measure of ∠XCY,

m∠XCY = 61x - 1

             = 61(1) - 1

             = 61 - 1

             = 60°

Therefore, measure of angle XCY is 60°.

4 0
3 years ago
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