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natali 33 [55]
3 years ago
7

HELP PLS AND EXPLAIN:

Mathematics
1 answer:
katovenus [111]3 years ago
3 0
C.infinitely many solutions
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What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
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Point/Slope Form of an equation!

(5,3)

slope of -2/5

x= 5
y = 3

y - y1 = m(x-x1)

y - 3 = -2/5(x-5)

y - 3 = -2/5x + 2

y = -2/5x + 5

x intercept of 5
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What is the period of the sinusoidal function? Enter your answer in the box.
muminat

Answer:

ANSWER:

The period of the sinusoidal function is 2π.

Step-by-step explanation:

EXPLANATION:

The sinusoidal function is a periodic function.It goes one unit up and one unit down with an amplitude of one and it repeats itself after this time interval.So,the period of the sine function is 2π

A sine or sinusoidal loop is a perpetual swing. It is called after the role sine. It happens frequently in tentative and practiced math, science, physics, engineering,  signal processing, and other disciplines. Its utmost fundamental pattern as a role of time (t).

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Less than 12: 11 numbers
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What is the equation of the line that is perpendicular to the like y=-4x + 7 and passes through the point (8,2)?
Nookie1986 [14]

Answer:

y=\frac{1}{4}x

Step-by-step explanation:

Given equation of line:

y=-4x+7

To find the equation of line perpendicular to the line of the given equation and passes through point (8,2).

Applying slope relationship between perpendicular lines.

m_1=-\frac{1}{m_2}

where m_1 and m_2 are slopes of perpendicular lines.

For the given equation in the form y=mx+b the slope m_2can be found by comparing y=-4x+3 with standard form.

∴ m_2=-4

Thus slope of line perpendicular to this line m_1 would be given as:

m_1=-\frac{1}{-4}

∴ m_1=\frac{1}{4}

The line passes through point (8,2)

Using point slope form:

y_-y_1=m(x_-x_1)

Where (x_1,y_1)\rightarrow (8,2) and m=m_1=\frac{1}{4}

So,

y-2=\frac{1}{4}(x-8)

Using distribution.

y-2=(\frac{1}{4}x)-(\frac{1}{4}\times 8)

y-2=\frac{1}{4}x-2

Adding 2 to both sides.

y-2+2=\frac{1}{4}x-2+2

y=\frac{1}{4}x

Thus the equation of line in standard form is given by:

y=\frac{1}{4}x

6 0
3 years ago
A tank has a length of 2 feet and a width of 1 foot and us filled to the water depth of 8 inches a stone is places Into the wate
Elina [12.6K]

Answer:

Step-by-step explanation: Volume = length x width x height. You only need to know one side to figure out the volume of a cube. The units of measure for volume are cubic units. Volume is in three-dimensions. You can multiply the sides in any order. Which side you call length, width, or height doesn't matter.

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