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3 years ago

Use substitution to solve this problema=5, b=25a - b = ‽

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Plug the numbers into the equation

5(5) - 2 = ?

25 -2 = 23

23

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Dan solves 6p=5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?

il63 [147K]

Answer:

Both the addition property of equality and the additive identity property

Step-by-step explanation:

we know that

The <u>addition property of equality</u> states that if the same amount is added to both sides of an equation, then the equality is still true

The <u>additive identity property</u> says that if you add a real number to zero or add zero to a real number, then you get the same real number back

we have

$6p=5-3p$

step 1

Applying the addition property of equality adds 3p both sides

$6p+3p=5-3p+3p$

step 2

Applying the additive identity property

$6p+3p=5+0$

step 3

$9p=5$

step 4

$p=5/9$

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3 years ago

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A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 40 me

luda_lava [24]

Answer: the answer is 19.4m

Step-by-step explanation:

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3 years ago

What is the equation of a line that passes through the point (6,3) and is perpendicular to a line with a slope of -3/2

SCORPION-xisa [38]

Answer:

none of the above

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the given slope, so it is ...

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

The point-slope form of the equation of the line with slope m through point (h, k) can be written ...

y = m(x -h) +k

For this slope and the point (6, 3), the equation of the line is ...

y = (2/3)(x -6) +3

y = 2/3x -4 +3

y = 2/3x -1 . . . . . matches none of the offered choices

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The attached graph shows this equation is the one that goes through the given point.

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4 years ago

Simplify, and Write answer without parentheses

zaharov [31]

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

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3 years ago

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If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate (in cm/min) at which the diameter d

rosijanka [135]

Answer:

0.0221 cm/min

Step-by-step explanation:

Surface area of a snowball:

An snowball has a spherical format.

The surface area of an sphere is given by:

$A = 4\pi r^2$

In which r is the radius(half the diameter). So in function of the diameter, we have that:

$A = 4\pi (\frac{d}{2})^2 = \pi d^2$

Implicit derivative:

To solve this question, we need to find the implicit derivative of A in function of t.

The variables are A and d, so:

$\frac{dA}{dt} = 8\pi d \frac{dd}{dt}$

Its surface area decreases at a rate of 5 cm2/min

This means that $\frac{dA}{dt} = -5$

Find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dA}{dt} = 8\pi d \frac{dd}{dt}$

$-5 = 8\pi*9 \frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{5}{72\pi}$

$\frac{dd}{dt} = -0.0221$

This means that the diameter decreases at a rate of 0.0221 cm/min when the diameter is 9 cm.

6 0

3 years ago

Use substitution to solve this problema=5, b=25a - b = ‽​

Use substitution to solve this problema=5, b=25a - b = ‽