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Anit [1.1K]
3 years ago
6

Suppose that y equals 2x -3. The following points lie on the graph of this equation: A(a,2a-3), B(b,2b-3), and C(c,2c-3). Amy cl

aims that the slopes of AB, BC, and AC are equal. Prove Amy's claim is correct.
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0
Linear since it is 1st degree (highest exponent of variable is 1)

if they lie on the line, then the slopes are equal

if any 2 points on a line will have the same slope as another set of 2 points (a line's slope never changes in a linear function)
You might be interested in
Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagon
ollegr [7]

Answer:

<h2>The cup can hold 240π cubic centimeters of water.</h2>

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

17^{2} =15^{2} + d^{2}

Solving for d, we have

289 - 225 = d^{2} \\d=\sqrt{64} \\ d=8

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

V= \pi r^{2} h

Where r is the radius and h is the height. Replacing values, we have

V= \pi \times 4^{2} \times 15 =\pi \times 16 \times 15\\V=240\pi \ cm^{3}

Therefore, the cup can hold 240π cubic centimeters of water.

8 0
3 years ago
Roger has 2 1/2 cups of butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves can Roger bake?
lubasha [3.4K]
The number of loaves can be determined with dividing the butter by the number of cups needed for a loaf.
loaves = 2 1/2 ÷ 3/4

Change into improper fraction
loaves = 2 1/2 ÷ 3/4
loaves = 5/2 ÷ 3/4

Change into multiplication
loaves = 5/2 ÷ 3/4
loaves = 5/2 × 4/3
loaves = 20/6
loaves = 10/3
loaves = 3.3
Because the number of loaves can't be a fraction, round it to the smaller whole number

Roger can make 3 loaves of bread
7 0
3 years ago
Read 2 more answers
1/2 - 1/5= ???
Aleonysh [2.5K]
Stop asking questons we are pretty much telling you the answer figure it out your self
6 0
3 years ago
Read 2 more answers
Simplify.
Kazeer [188]
(1/2)^2 = 1/4
2-2/3 = 6/3 - 2/3 = 4/3

OK so:
(1/2)^2 - 6(2-2/3) = 1/4 - 6(4/3)
= 1/4 - 8
= 1/4 - 32/4
= -31/4
3 0
3 years ago
Can someone help me plz
wolverine [178]

Answer:

75°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle = ? = θ

Side length opposite to reference angle = 27

Hypotenuse length = 28

Apply SOH, which is:

sin(\theta) = \frac{Opposite}{Hypotenuse}

Substitute

sin(\theta) = \frac{27}{28}

\theta = sin^{-1}(\frac{27}{28})

\theta = 75 degrees (nearest degree)

7 0
3 years ago
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