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Ne4ueva [31]
3 years ago
11

I don’t know how to solve this

Mathematics
2 answers:
Olin [163]3 years ago
8 0

\frac{y - y1}{y2 - y1} =  \frac{x - x1}{x2 - x1}   \\  \frac{y - ( - 3)}{ - 5 - ( - 3)}  =  \frac{x - 8}{0 - 8}  \\  \frac{y + 3}{ - 2}  =  \frac{x - 8}{ - 8}  \\  - 8(y + 3) =  - 2(x - 8) \\  - 8y  - 24 =  - 2x + 16 \\ 2x - 8y = 40

Dmitrij [34]3 years ago
4 0

Answer:

y = \frac{1}{4} x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = \frac{-5+3}{0-8} = \frac{-2}{-8} = \frac{1}{4}

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = \frac{1}{4} x - 5 ← equation of line

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Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x
ozzi

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

  • h = height of cone = 10 cm

  • r = radius of cone/sphere = ??

  • Volume of cone = 270 pi cm³

Volume of cone is :

\qquad \sf  \dashrightarrow \:v = 270 \pi

\qquad \sf  \dashrightarrow \: \dfrac{1}{3}   \cancel\pi {r}^{2} h = 270 \cancel\pi

\qquad \sf  \dashrightarrow \:r {}^{2}  \sdot10 = 270 \times 3

\qquad \sf  \dashrightarrow \: {r}^{2}  = 810 \div 10

\qquad \sf  \dashrightarrow \: { {r}^{2} }^{}  = 81

\qquad \sf  \dashrightarrow \:r =  \sqrt{81}

\qquad \sf  \dashrightarrow \:r = 9 \:  \: cm

Now, let's calculate volume of solid sphere with same radius is ~

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4}{3}  \pi {r}^{3}

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4} {3}   \sdot\pi \sdot  {9}^{3}

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4} {3}   \sdot\pi \sdot  729

\qquad \sf  \dashrightarrow \:vol =  {4} {}    \sdot243 \sdot\pi

\qquad \sf  \dashrightarrow \:vol =  97 2\pi  \:  \:  {cm}^{3}

So, volume of the solid sphere in terms of pi is :

  • 972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

  • 972pi / 2 = 486 pi cm³
4 0
2 years ago
What is this answer. 7/b - 3/b
musickatia [10]

Answer:

4/b

Step-by-step explanation:

7/b - 3/b

Since the denominators are the same, we can subtract

4/b

3 0
3 years ago
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the t
Irina-Kira [14]

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

The rate of trf is 4.4 megabytes per second and he trf files for 32 seconds.

32 x 4.4 = 140.8mb trf

384 - 140.8 = 243.2 mb was already on the flashdrive

7 0
3 years ago
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

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2 years ago
I forget how to do this help I'll give brainliest ​
Gnoma [55]
50 since a triangle has to equal 180, trust!
6 0
3 years ago
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