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kirill [66]
3 years ago
6

Help! Mathematics answer? Will give brainliest and some good points, Algebra I

Mathematics
1 answer:
skad [1K]3 years ago
8 0
The answer is B.

Hope it helps!
You might be interested in
Just need help on #7 thru 8(a), b and c
Stella [2.4K]

7

a. The slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

b. The distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

c.  The midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

8.

a. The transformation rule is  (x,y) → (x + 1, y - 1)

b.

  • The x-coordinate is shifted 1 unit to the left and
  • The y - coordinate is shifted 1 unit downwards.

c. The image of B' the pre-image of B(5, 6) is (6, 5)

<h3 /><h3>7 a. How to find the slope of the line?</h3>

The slope of a line passing through the points (x₁, y₁) and (x₂,y₂) is m = (y₂ - y₁)/(x₂ - x₁)

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 5)/(-1 - 3)

m = -3/-4

m = -3/4

So, the slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

<h3>b. The distance between the points</h3>

The distance between two points (x₁, y₁) and (x₂,y₂) is d = √[(y₂ - y₁)² + (x₂ - x₁)²]

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

d = √[(2 - 5)² + (-1 - 3)²]

d = √[(-3)² + (-4)²]

d = √[9 + 16]

d = √25

d = 5 units

So, the distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

<h3>7 c How to find the midpoint of the R(3, 5) and H(-1,2) </h3>

The midpoint of the the points (x₁, y₁) and (x₂,y₂) is (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

So, the midpoint (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

(x, y)  = [(3 + (-1))/2, (5 + 3)/2]

(x, y)  = [(3 - 1)/2, (5 + 3)/2]

(x, y)  = [4/2, 8/2]

(x, y)  = (2, 4)

So, the midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

<h3>8. a The rule for the transformation of point A(1, 4) to point B(2, 3)</h3>

Given that point A(1, 4) and point B(2, 3) we see that point B(1 + 1, 4 - 1).

Let pont A be (x,y).

So, point B = (x + 1, y - 1)

So, the transformation rule is  (x,y) → (x + 1, y - 1)

<h3>b. Describe the transformation</h3>

Since the transformation rule is   (x,y) → (x + 1, y - 1), we see that

  • the x-coordinate is shifted 1 unit to the left and
  • the y - coordinate is shifted 1 unit downwards.
<h3>c. The image of B' the pre-image of B(5, 6)</h3>

Since the transformation rule is  (x,y) → (x + 1, y - 1) and point B is (5, 6), thus the image of B' is

(x,y) → (x + 1, y - 1)

(5,6) → (5 + 1, 6 - 1)

(5,6) → (6, 5)

So, the image of B' the pre-image of B(5, 6) is (6, 5)

Learn more about slope of a line here:

brainly.com/question/1617757

#SPJ1

3 0
2 years ago
THE AP CALCULUS EXAM SCORES WERE RELEASED IN JULY. THE SECONDARY MATH SPECIALIST PREPARED THE BOX PLOT SHOWN TO PRESENT THE SCOR
Ganezh [65]

Answer : option A

To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile

Inter quartile range is the middle 50% of the given range of scores.

The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%

From the diagram , we can see that

Upper quartile = 89

lower quartile = 65

So range is 65%  to 89%

8 0
3 years ago
2+2<br> Show your work and the first answer gets a brainliest
bazaltina [42]

Answer:

Four/4

Step-by-step explanation:

Add both numbers together.

2+2

4

8 0
3 years ago
I need help please i​
balandron [24]

Answer:

<em>2 7/24</em>

Step-by-step explanation:

<em>First we have to add the gallons of two cow of each owner:</em>

<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>

<em>Add the whole numbers:</em>

<em>4 + 4 = 8</em>

<em>Now for 3/4 and 1/8 </em>

<em>Find common</em>

<em>6/8 + 1/8</em>

<em>= 7/8</em>

<em>Put together :</em>

<em>8 7/8</em>

<em>Debra's cows: </em><em>5 1/2 + 5 2/3</em>

<em>Add the whole number</em>

<em>5 + 5 = 10</em>

<em>Now for 1/2 and 2/3</em>

<em>3/6 + 4/6</em>

<em>1 1/6</em>

<em>10 + 1 1/6 </em>

<em>= 11 1/6</em>

<u><em>Since now we know that:</em></u>

<u><em>Hank - </em></u><em>8 7/8</em>

<u><em>Debra - </em></u><em>11 1/6</em>

<em>we can solve the question:</em>

<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>

<em>Solution:</em>

<em>11 1/6 - 8 7/8</em>

<em>Subtract whole number</em>

<em>11 - 8 = 3</em>

<em>Now for 1/6 and 7/8</em>

<em>4/24 - 21/24</em>

<em>4-21/24</em>

<em>-17/24</em>

<em>2 7/24</em>

<em />

<u>~lenvy~</u>

7 0
2 years ago
Read 2 more answers
How does 0.008 compare to 0.08
Aleonysh [2.5K]
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
8 0
3 years ago
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