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White raven [17]
2 years ago
14

Megan and Sam were solving a system of equations. They both noticed that the two lines had different slopes. Megan said that bec

ause each line in the system had different slopes, the two lines had to intersect, which meant there was one solution to the system. Sam disagreed, and said they should also look at the y-intercepts. Who is correct?
A. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.
B. Neither person makes a valid argument.
C. Sam is correct. When two lines intersect, their y-intercepts determine how many solutions there will be.
Mathematics
2 answers:
finlep [7]2 years ago
7 0

Answer:

A

Step-by-step explanation:


pochemuha2 years ago
5 0
Your answer is A. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.

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The radius of a cylindrical construction pipe is 1.5ft . If the pipe is 14ft long, what is its volume? Use the value 3.14 for π
Lady bird [3.3K]

Answer:

Volume of cylinder =989 ft cube

Step-by-step explanation:

<u>Volume of cylinder</u>

Volume V = πr²h

r - radius and h - height

It is given that,

The radius of a cylindrical construction pipe is 1.5ft and

Length of pipe = 14 ft

<u>To find volume of cylinder</u>

Volume V = πr²h

V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube

5 0
1 year ago
Which would prove that ΔABC ~ ΔXYZ? Select TWO options.
gulaghasi [49]

Answer:

\frac{BA}{YX}=\frac{BC}{YZ}, ∠C ≅∠Z

\frac{AC}{XZ}=\frac{BA}{YX}, ∠A≅∠X

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

The corresponding sides are

BA and YX  

BC and YZ

AC and XZ

The corresponding angles are

∠A and ∠X

∠B and ∠Y

∠C and ∠Z

so

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

and

∠A≅∠X

∠B≅∠Y

∠C ≅∠Z

therefore

\frac{BA}{YX}=\frac{BC}{YZ}, ∠C ≅∠Z

\frac{AC}{XZ}=\frac{BA}{YX}, ∠A≅∠X

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

3 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP: A particle is moving with velocity v(t) = t2 – 9t + 18 with distance, s measured in meters, left or right of z
dimaraw [331]
1) \frac{v(8)-v(0)}{8 - 0} = \frac{10-18}{8} = -1\frac{m}{s}.
2) v(5) = 5^2-9*5+18 = 25-45+18 = -2\frac{m}{s}.
3) The particle is moving right when the velocity function is positive: 0\ \textless \ t\ \textless \ 3 or 6\ \textless \ t\ \textless \ 8.
4) When 0\ \textless \ t\ \textless \ \frac{9}{2} the particle is slowing down because the acceleration is close to zero \Rightarrow the particle is speeding up when acceleration is increasing away from zero: \frac{9}{2}\ \textless \ t\ \textless \ 8.
5) (\frac{1}{8})* \int\limits^8_0 {t^2-9t+18dt}=\frac{1}{8}*(\frac{t^3}{3}-(\frac{9}{2}*t^2+18t)_{0}^{8}= \\=(\frac{1}{8})*(\frac{8^3}{3}-(\frac{9}{2})*8^2+18*8)=\frac{8^2}{3}-(\frac{9}{2})*8+18=3\frac{1}{3} \frac{m}{s}.
3 0
2 years ago
A farm can harvest 120 pounds of carrots per acre of land. Each crate can hold 24 pounds of carrots. If a farmer owns 4.8 acres
Shtirlitz [24]

Answer:

The farmer needs 24 crates to hold the carrots.

Step-by-step explanation:

To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:

(4.8 x 120) / 24 = X

576/24 = X

24 = X

Thus, the farmer needs 24 crates to hold the carrots.

6 0
1 year ago
Find the indicated values: <br> Given: OA=AC=2<br> AB is a tangent line<br> Find: AB
nlexa [21]

Step-by-step explanation:

OA=AC=OC=2 (equal triangle)

which means angle O =60 degree

tan 60 = AB / 2

AB = 2 tan 60 =

2 \sqrt{3}

3 0
1 year ago
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