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3 years ago

Finding the Equation of a Line from a Graph and a Table plz help me

Mathematics

1 answer:

Leni [432]3 years ago

5 0

Answer:

slope (m)= 1/2

y-intercept: (0, -1)

equation: y= $\frac{1}{2}$ x-1

Step-by-step explanation:

slope is $\frac{rise}{run\\}$ = $\frac{1}{2}$

y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)

using point slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-0)

y+1=1/2x

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

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If the legs of a right triangle are given by x2 - y2 and 2xy, then which expression equals the hypotenuse? choose all that apply

11Alexandr11 [23.1K]

Hypothenus = sqrt ((x^2 - y^2)^2 + (2xy)^2) = sqrt(x^4 - 2x^2y^2 + y^4 + 4x^2y^2) = sqrt(x^4 + 2x^2y^2 + y^4) = sqrt(x^2 + y^2)^2 = x^2 + y^2

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3 years ago

Which pattern is non-linear?

Zielflug [23.3K]

Answer:

2, 4, 8, 16, 32

 is non-linear pattern

..........................................

Step-by-step explanation:

--------------------------------------

1st

-4+6=2

2+6=8

8+6=14

14+6=20

3rd

3+3=6

6+3=9

9+3=12

12+3=15

4th

5+4=9

9+4 =13

13+4=17

17+4=21

But 

2nd

2×2=4

4×2=8

8×2=16

16×2=32

5 0

3 years ago

Find sin θ if θ is in Quadrant III and tan θ = . 0.958

Leokris [45]

Use the following identities:
$sec^2 = 1 + tan^2 \\ \\ sec = \frac{1}{cos} \\ \\ sin^2 = 1 - cos^2$
Also because the angle is in quadrant 3, sin must be negative.
Therefore
$sin = - \sqrt{1 - \frac{1}{1 + tan^2}}$
Subbing in tan = 0.958
$sin \theta = -0.69178$

7 0

3 years ago

What is 12.125 as a fraction

yulyashka [42]

$12 \frac{1}{8}$

3 0

3 years ago

Five friends are leaving a bar for home. Aside from the owner of the car, one other person is deemed able to operate the vehicle

erastova [34]

Answer:

Step-by-step explanation:

one person is deemed to drive and that person is fixed on the driver's seat no mater which arrangement.

we have now 2 more seats one adjacent to the driver and one rear (two combined).

so the total ways in which all five can be arranged is as follows.

driver, adjacent to him(1) and three back.

driver adjacent to him (different person) and three back.

see the driver is always fixed so we can ignore him.

thus we when driver set fixed , on two remaining seats (adjacent to driver and the back )there can be 4 different combinations.

3 0

3 years ago