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3 years ago

Can someone answer this

Mathematics

1 answer:

ryzh [129]3 years ago

7 0

Answer:

y = 2x + b (the second answer choice)

Step-by-step explanation:

The slope-intercept form is y = mx + b (the m representing slope and the b representing y-intercept). Put the points in ratio form as a fraction and subtract the ratio with the smallest numbers from the ratio with the largest ratio (5/1 - 1/-1) to get 4/2. When simplified, it becomes 2/1, so the slope is 2. Using the slope found previously, subtract 1 from the x of (1, 5) and 2 from the y of (1, 5) to get the y-intercept. The resulting point is (0, 3), so the y-intercept is 3. Replace the m with the found slope (2) and b with the found y-intercept (3) to end up with y = 2x + 3.

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Find three points that belong to the graph and use them to sketch the graph of the equation: y=x-3

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Answer:

I only found two point: (0,-3) (1,-2)

Step-by-step explanation:

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2 years ago

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3 years ago

Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.

VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

$r=12 sin \theta$

This has to be converted into cartesian.

We know the conversion is

$r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}$

Using this we can say that

$sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}$

$\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2$ }

Circle with centre (0,6) and radius 6.

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3 years ago

Find the first six terms of the sequence.<br> a1 = -7, an = 4 • an-1

Juli2301 [7.4K]

Answer:

- 7, - 28, - 112, - 448, - 1792, - 7168

Step-by-step explanation:

Using the recursive formula and a₁ = - 7 , then

a₂ = 4a₁ = 4 (- 7) = - 28

a₃ = 4a₂ = 4(- 28) = - 112

a₄ = 4a₃ = 4(- 112) = - 448

a₅ = 4a₄ = 4(- 448) = - 1792

a₆ = 4a₅ = 4(- 1792) = - 7168

6 0

3 years ago

The height of a parallelogram is 4 times the base. The base measures 3 1/2 ft find the area off the parallelogram

PilotLPTM [1.2K]

Answer:

Area = 49 ft²

Step-by-step explanation:

The formula for area of a parallelogram is A = bh, where b is the base, and h is the height. Here, the base is given and the height is 4 times the length of the base

Here b = 3 1/2, and h = 4(3 1/2) = 14

3 1/2 becomes 7/2 as an improper fraction, 4(7/2) = 28/2 = 14

So the area is

A = 14(3 1/2)

A = 14(7/2)

A = 98/2

A = 49 ft²

4 0

3 years ago