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3 years ago

Solve by using the perfect squares method.* x2 – 12x + 36 = 0

Mathematics

2 answers:

ElenaW [278]3 years ago

4 0

$x^2 -12x + 36 = 0\\ \\ (x-6)^2= 0 \\ \\ x-6=0 \\ \\ x=6$

Vedmedyk [2.9K]3 years ago

4 0

X2 - 12x + 36 = 0
x2 - 2*x*6 +6^2 = 0
(x-6)^2 = 0
x-6 = 0
x = 6

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3 years ago

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Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what

Vlada [557]

Answer:

5:00 pm

Step-by-step explanation:

Let

x -----> the umber of hours

y ----> the total distance in miles

we know that

The distance is equal to the speed multiplied by the time

Find out the distance traveled by Ariel at 11:00 am

11:00 am-09:00 am=2 hours

45(2)=90 miles

Ariel's linear equation is

$y=45x+90$ ----> equation A

Ariel's brother linear equation is

$y=60x$ ----> equation B

Equate equation A and equation B

$60x=45x+90$

Solve for x

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$15x=90$

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3 years ago

The y-variable is the value that tells us to move in what direction on a graph?

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It is 3y because of the calculation being equivalent

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2 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

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2 years ago

Evaluate 7+5^2*4 Algebra 1

vagabundo [1.1K]

Hi there!

Answer:

=107

*The answer must have a positive sign.*

Step-by-step explanation:

<h2>Lesson: Order of operations</h2>

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

It can also go left to right.

First, you do exponents.

$5^2=5*5=25$

$7+25*4$

Then, you multiply from left to right.

$25*4=100$

Finally, you add from left to right.

$100+7=107$

I hope this helps you!

Have a nice day! :)

-Charlie

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2 years ago

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