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Alekssandra [29.7K]
3 years ago
11

Write each relation in standard form and then find the y-intercept for each relation:

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

In standard form, the relation is y = 5x^2 + 100x + 507

The y-intercept is y = 507.

Step-by-step explanation:

Quadratic equation:

In standard form, it is written as:

y = ax^2 + bx + c

The y-intercept is c.

a) y = 5(x+10)^2 +7

We open the binomial to write in standard form. So

y = 5(x + 10)^2 + 7

y = 5(x^2 + 20x + 100) + 7

y = 5x^2 + 100x + 500 + 7

y = 5x^2 + 100x + 507

In standard form, the relation is y = 5x^2 + 100x + 507

The independent term, c, is 507, so the y-intercept is y = 507.

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Help Resa
marin [14]

Answer:

Volume of given figure = 113.12 cm²

Step-by-step explanation:

Given:

Radius of cylinder = 4/2 = 2cm

Radius of cone = 4/2 = 2 cm

Height of cylinder = 7 cm

Height of cone = 6 cm

Find:

Volume of given figure

Computation:

Volume of given figure = Volume of cylinder + Volume of cone

Volume of given figure = πr²h + (1/3)πr²h

Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)

Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)

Volume of given figure = (22)(4) + (22/7)(4)(2)

Volume of given figure = 88 + 25.14

Volume of given figure = 113.12 cm²

3 0
3 years ago
[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
Nana76 [90]

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

<h3>What is the Inscribed Angle Theorem?</h3>

Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

Corresponding arc BC = 80 degrees.

Arc AC through point B = 180 degrees [half circle]

Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.

Learn more about the inscribed angle theorem on:

brainly.com/question/3538263

#SPJ1

8 0
2 years ago
Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What
Vikentia [17]

Answer:

Step-by-step explanation:

14 + 5t > = 49 (thats a greater then or equal sign)

5t > = 49 - 14

5t > = 35

t > = 35/5

t > = 7 <===

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3 years ago
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masha68 [24]

Answer:

the slope would be 10

and the y-intercept would be 0

5 0
3 years ago
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What is the slope of the line on this graph?
Fantom [35]

Answer:

The slope of the line is 3.

Step-by-step explanation:

Using the rise over run rule, we are able to tell the slope is 3/1, which is just 3.

7 0
2 years ago
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