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andreyandreev [35.5K]
3 years ago
10

Which graph represents a linear function? A coordinate plane is shown with a way line beginning along the x axis and continuing

along the graph. It curves up and down reaching y equals 1 and y equals negative 1 in a steady pattern along the horizontal axis A coordinate plane is shown with a parabola opening in a downward U shape. The vertex of the parabola is at y equals 7 point 5 and opening downward on either side of the y-axis from there A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2. A coordinate plane is shown with a line that begins to the left of the y axis passing through negative 1 comma negative 4, then curving right and passing through the y-axis at negative 4. It curves again and continues upward, passing through the x axis at around x equals 1.
Mathematics
2 answers:
Sliva [168]3 years ago
5 0
<span><span>-2-2 + 2 = 0(-2, 0)</span><span>-1-1 + 2 = 1(-1, 1)</span><span>00 + 2 = 2(0, 2)</span><span>11 + 2 = 3(1, 3)</span><span>22 + 2 = 4<span>(2, 4)</span></span></span>
Assoli18 [71]3 years ago
4 0

Answer:

A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2.

Step-by-step explanation:

The graph of a linear function is a straight line. So, we have to find the one graph that describes a straight line.

A coordinate plane is shown with a way line beginning along the x axis and continuing along the graph. It curves up and down reaching y equals 1 and y equals negative 1 in a steady pattern along the horizontal axis. This answer is incorrect because it does not describe a straight line, the line curves up and down between y = 1 and y = -1.

A coordinate plane is shown with a parabola opening in a downward U shape. The vertex of the parabola is at y equals 7 point 5 and opening downward on either side of the y-axis from there. This answer is incorrect because describes a parabola which is the graph of a quadratic function.

A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2. This is the correct answer because describes a straight line that passes through the points (0 , - 3) and (2 , 0).

A coordinate plane is shown with a line that begins to the left of the y axis passing through negative 1 comma negative 4, then curving right and passing through the y-axis at negative 4. It curves again and continues upward, passing through the x axis at around x equals 1. This answer is incorrect because it does not describe a straight line.

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Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5?
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Answer: Choice B

Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.

======================================================

Explanation:

2.4 = 2 + 0.4

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2.4 = 2 and 4 tenths

2.4 = two and four tenths

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Through similar reasoning,

6.2 = six and two tenths

And also,

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Notice how 6.2 - x translates into "difference of six and two tenths and a number"

We then multiply that by 2.4, aka two and four tenths.

So that's how we get the phrasing "Two and four tenths multiplied by the difference of six and two tenths and a number"

All of this is greater than -4.5 aka negative four and five tenths.

This points us to Choice B as the final answer.

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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is
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<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

volume \: of \: the \: cylinder \:  =  \pi {r}^{2} h

=  > \pi \times  {5}^{2} \times  12 {cm}^{3}   = 300\pi {cm}^{3}

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

slant \: height \: of \: the \: cone \:  =  \sqrt{ {h}^{2}  + \:  {r}^{2} }

=  >  \sqrt{ {5}^{2}+{12}^{2} } cm \:  = 13cm

Volume of the cone = 1/3 *πr^2h

=  >  \frac{1}{3} \pi \times  {5}^{2}   \times 12 {cm}^{3}  = 100\pi {cm}^{3}

therefore, the volume of the remaining solid

= 300\pi {cm}^{3}  - 100\pi {cm}^{3}  \\  = 200 \times 3.14 {cm}^{3}  = 628 {cm}^{3}

Curved surface of the cylinder =

2\pi \: rh \:  = 2\pi \times 5 \times 12 {cm}^{2}  \\  = 120\pi {cm}^{2} .

curved \: surface \: of \: the \: cone \:  = \pi \: rl \\  = \pi \times 5 \times 13 {cm}^{2}  \\  = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\  of \: cylinder \:  =  \\ =  \pi \:  {r}^{2}  = \pi \times  {5}^{2}

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

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<h3>Hope it helps you!!</h3>

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