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oksian1 [2.3K]
3 years ago
12

Write the following equations in slope intercept form

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

problem 1 2x+5y= 0

×=-1/2-5/2y

problem 2 y=1 3/7y y=-1.428571

7y=-10

problem 3 x=-7

problem 4 x-y=20

x=-20

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The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
KatRina [158]
13 + 13 + 9 + 9 = 44 feet.
Please make this answer the brainliest!
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Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe
Anit [1.1K]

Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

\frac{16}{8} =2\\(11)(2) = 22

7 0
2 years ago
Could anyone please help?<br>I'm not the best at maths.​
Gre4nikov [31]

Answer:

sin 70 degrees = 0.9396, 0.9396*3 approximately equal to the 2.82cm  one area is 6*2.82/2=8.46cm²

Step-by-step explanation:

  1. Known this square covers an area of 36 cm square, so its length is 6 cm.
  2. so, we know that the lower side of the triangle is six, half of it is 3 cm.
  3. We make a triangle, and then the Angle of the triangle is 70 degrees, so, we can use the sin is to use bottom neighborhood is sin70 degrees = hemline is present in addition to 3cm.
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Express in its lowest terms the ratio of 25:75
shutvik [7]

Answer: 1:3

Step-by-step explanation:

<u>Divide both sides by 25:</u>

25/25:75/25

1:3

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3 years ago
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