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2 years ago

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

1 answer:

8 0

The given line is in point-slope form. Replace the point values with the new point and you will have your parallel line. Solve for y by adding the opposite of the constant on the left.

y - 32 = 4(x - 4) . . . . point (-3, 1) replaced with point (4, 32)

y = 4x + 16 . . . . . . . add 32 to both sides of the equation and simplify

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11Alexandr11 [23.1K]

Answer:

x=-1...

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2 years ago

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If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?

cestrela7 [59]

Hi there --

If a plane can climb 2,400 feet per minute, it will need 25 minutes to reach 60,000 feet. // By dividing 60,000 (the needed feet) by 2,400 (the amount of feet the plane can climb per/min) you get 25 (the amount of mins needed to climb 60,000 feet)

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2 years ago

In a family there was give sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by

aleksklad [387]

Answer:

5.5

Step-by-step explanation:

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2 years ago

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Please help!

crimeas [40]

Answer:

The zeros are:

$x =4, x=2, x = 5$

The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

$h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)$

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

$0=\left(x-4\right)^2\left(x^2-7x+10\right)$

switch sides

$\left(x-4\right)^2\left(x^2-7x+10\right)=0$

$x^2-7x+\:10=\left(x-2\right)\left(x-5\right)$

$\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0$

Using the zero factor principle

$\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0$

$x =4, x=2, x = 5$

Thus, the zeros are:

$x =4, x=2, x = 5$

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

The function has three distinct real zeros.

Hence, option (B) is true.

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2 years ago

Can you discuss the differences and similarities between dividing with whole numbers and decimals.

goldenfox [79]

Answer:

Comparing a whole numbers and a decimals:

First let’s talk about the similarities of comparing whole numbers and decimals:

=> their place value always matters.

Now, let’s proceed to their differences

=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.

=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.

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3 years ago