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3 years ago

What is the slope-intercept form of the function that contains the point (–1, 5) and has a slope of –4?

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

If it has a slope of -4, you need to find b.

So you want to plug in your coordinate values for x and y to solve.

5=-4(-1)+b

5=4+b you then subtract 4 from both sides to find the answer for b.

1=b

So your equation would be:

y=-4x+1

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The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center

Dvinal [7]

Answer:

Area = πx² + x² or x²(π + 1)

Step-by-step explanation:

The area of the heart = area of a circle + area of the square

Note:

1. The 2 semicircles makes 1 full circle

2. The diameter of the circle = the side length of the square

Thus:

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Where,

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2 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

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3 years ago

a rectangular garden has dimensions of 100 feet by 10, next season, the garden decreased to 2/5 of its size. what is the scale o

Alexxandr [17]

Answer: 40 ft by 4 ft

Step-by-step explanation:

See attached picture

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2 years ago

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Fantom [35]

Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
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3 years ago

What is the <br> area of 3in 4in 5in

alexdok [17]

Answer:

60inches

Step-by-step explanation:

3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.

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3 years ago

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