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Alex Ar [27]
3 years ago
9

PLEASE HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

Part A: Yes; The first number in the sequence times 4

Part B: 1*4 =4, 2*4=8, etc.

Part C: 9*4= 36

Step-by-step explanation:

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A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What
Gnesinka [82]

Given:

Endpoints of a line segment AB are A(2,3) and B(8,11).

To find:

(1) Slope of AB.

(2) Length of AB.

(3) Midpoint of AB.

(4) Slope of a line perpendicular to AB.

Solution:

We have, endpoints of line segment AB, A(2,3) and B(8,11).

(1)

Slope of AB is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{11-3}{8-2}

m=\dfrac{8}{6}

m=\dfrac{4}{3}

Therefore, the slope of AB is \dfrac{4}{3}.

(2)

Length of AB is

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(11-3)^2}

AB=\sqrt{(6)^2+(8)^2}

AB=\sqrt{36+64}

AB=\sqrt{100}

AB=10

Therefore, the length of AB is 10 units.

(3) Midpoint of AB is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{2+8}{2},\dfrac{3+11}{2}\right)

Midpoint=\left(\dfrac{10}{2},\dfrac{14}{2}\right)

Midpoint=\left(5,7\right)

Therefore, the midpoint of AB is (5,7).

(4)

Product of slopes of two perpendicular lines is -1.

Let the slope of line perpendicular to AB be m₁.

m_1\times \dfrac{4}{3}=-1

m_1=-\dfrac{3}{4}

So, slope of line perpendicular to AB is -\dfrac{3}{4}.

8 0
3 years ago
what is the area of this book? what is the volume of this book? (height is 8, length is 6, and width is 1)
mamaluj [8]
<span>A=2(wl+hl+hw)=2·(8·6+1·6+1·8)=124</span>
8 0
3 years ago
Read 2 more answers
The area of a trapezoid that has a height of 5 cm and bases that are 8 cm and 45 cm
mylen [45]
I do believ that the answer is 925 if it not in very sorry
5 0
3 years ago
Please help asap! lol
LuckyWell [14K]

Answer:

Explained below!

Step-by-step explanation:

One green point should be on (0, -9) then the other green point should be on (1, -5). The line should be going up

4 0
3 years ago
a town park has 2 biking trails. Marsh Trail is 5 and three over ten miles long. Woodland trail is 2 and 4 over 5 miles long. Ho
Allisa [31]

Marsh Trail is longer than Woodland trail by 2.5 miles

Step-by-step explanation:

A town park has 2 biking trails

1. Marsh Trail is 5 and three over ten miles long

2. Woodland trail is 2 and 4 over 5 miles long

We need to find that Marsh Trail is how much longer than

Woodland trail

To do that we will subtract the length of the Woodland trail from the

length of the Marsh Trail

∵ The length of Marsh Trail is 5 and three over ten miles

- 5 and three over ten = 5\frac{3}{10}

∵ \frac{3}{10} = 0.3

∴ 5\frac{3}{10} = 5.3 miles

∵ The length of Woodland trail is 2 and 4 over 5 miles

- 2 and 4 over 5 = 2\frac{4}{5}

∵ \frac{4}{5}=\frac{4*2}{5*2}=\frac{8}{10} = 0.8

∴ 2\frac{4}{5} = 2.8

∴ The difference = 5.3 - 2.8

∴ The difference = 2.5 miles

Marsh Trail is longer than Woodland trail by 2.5 miles

Learn more:

You can learn more about fractions and decimals in brainly.com/question/1648978

#LearnwithBrainly

5 0
3 years ago
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