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crimeas [40]
3 years ago
15

What is the equation in point-slope for the linear function whose graph contains points (1, -2) and (-3, 6)?

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

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

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

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A piece of fabric is 7/9 yard long.A piece of ribbon is 2/9 yard long.How many more yards of ribbon do you need to have equal le
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Convert y=x squared +64x + 12 into graphing form
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To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \\ \\ y = a(x - h)^2 + k ,\\ \\ we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:

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3 0
4 years ago
1. Use "decomposing" to answer the question bellow.
snow_lady [41]

Answer:

1A: 29 units²

1B: √29 units

2, 3, 4. see below

5. between 8 and 8.5

Step-by-step explanation:

1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.

Area = 4(0.5)(5 x 2) + (3²) = 29 units²

1B: Square root your answer in 1A. √29 units

Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units

2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.

3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4

4. A number that cannot be expressed as a fraction. E.g. π, e, √3

5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.

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Answer:

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