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3 years ago

Need help asap 25 points

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

y = x + 1

See below.

Step-by-step explanation:

To find the slope intercept form of a line, calculate the slope first.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-2}{3-1}=\frac{2}{2} = 1$

So the slope is 1. Substitute m = 1 and (1,2) into the point slope form. Then simplify to slope intercept form.

y - 2 = 1 (x - 1)

y - 2 = x - 1

y = x + 1

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Identify the vertex, the focus, and the directrix of the parabola with the given equation.

Elenna [48]

Vertex: (-4,-3)
Focus: (-4, -11/4)
Directrix: y= -13/4

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3 years ago

Find the length of the diagonal of a square with perimeter of 24

julsineya [31]

Answer:

d = 6sqrt(2) or 8.4853

Step-by-step explanation:

Formula

P = 4*s

s^2 + s^2 = d^2 where d is the diagonal and s is the side.

Givens

P = 24

Solution

P = 4s Substitute for s

24 = 4*s Divide by 4

24/4 = s

s = 6

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

d^2 = s^2 + s^2

d^2 = 6^2 + 6^2

d^2 = 36 + 26

d^2 = 72

d = sqrt(72)

Factors of 72

72: 6 * 6 * 2

Rule: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.

sqrt(6*6*2) = 6sqrt(2)

The diagonal length is either
d = 6*sqrt(2) or
d = 8.4853

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4 years ago

Find the length of STV in the figure.

o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

$l=\frac{\theta}{360^{\circ}}\times2\pi r$ , where r= radius of the cirle, $\theta$ is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = $140^{\circ}$

Then, Central angle of arc SCV = $360^{\circ}-140^{\circ}=220^{\circ}$

Then, the length of the arc STV =

$l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}$

Hence, the length of STV is about 76.83 in.

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3 years ago

What transformation is used on Data Set 1 to produce Data Set 2?

stepan [7]

Answer:

option à is correct

Step-by-step explanation:

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3 years ago

The volume of a sphere of its function, v= 4/3 times 3.14 times 11.2 to the third power

pantera1 [17]

Answer:

i guess, you pretty much made a statement not a question.

Step-by-step explanation:

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3 years ago

*Need help asap* 25 points

Need help asap 25 points