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iren [92.7K]
4 years ago
13

Please help answer these question​ I will give you brainliest

Mathematics
2 answers:
ozzi4 years ago
8 0

Answer:

1) \frac{6+\sqrt{6} }{2}       2) -3 + \sqrt{12}

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

Effectus [21]4 years ago
6 0

Answer:

1) ( 6+\sqrt{6} ) / 2                 2) 2 \sqrt{3} - 3

Step-by-step explanation:

I got the same thing as the other person, but typing it out would take forever just to give you the same result.

You do use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

1) ( 6+\sqrt{6} ) / 2

2) I got the same answer but I put in 1 more step. It looks like the person caught it though.

From the -3 + \sqrt{12}    

-3 + \sqrt{4} \sqrt{3}

-3 + 2 \sqrt{3}     Rearrange

2 \sqrt{3} - 3

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Are the following systems equivalent? How do you know?
Nadya [2.5K]

Answer:

<h3>No, they are not equivalent</h3>

Step-by-step explanation:

Are the following systems equivalent? How do you know?

For the equation;

2x+y= -4 ... 1

7x+7y=0 ... 2

Let us find the solution of the equation;

From 1;

y = 4 - 2x

Susbtitutw into 2;

7x + 7(4-2x) = 0

7x + 28 - 14x = 0

-7x + 28 = 0

7x = 28

x = 28/7

x = 4

Recall that y = 4-2x

y = 4 - 2(4)

y = 4 - 8

y = -4

The solution is (4, -4)

For the other equations;

5x+6y= 4 ... 1 * 1

4x+2y= -4 ..... 2 * 3

___________________

5x+6y= 4

12x+6y= -12

Subtract

5x-12x = 4 + 12

-7x = 16

x = -16/7

Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.

5 0
3 years ago
The height of a poplar tree in feet at age t years can be modeled by the function h(t)=6+3ln(t+1) . use the model to predict the
Citrus2011 [14]

The function h(t)=6+3ln(t+1) is a logarithmic function

The height of the tree will exceed 18 feet after 53.6 years

<h3>How to determine the number of years?</h3>

The function is given as:

h(t)=6+3ln(t+1)

When the height is 18 feet, we have:

6+3ln(t+1) = 18

Subtract 6 from both sides

3ln(t+1) = 12

Divide both sides by 3

ln(t+1) = 4

Take the exponent of both sides

t + 1 = e^4

Evaluate the exponent

t + 1 = 54.6

Subtract 1 from both sides

t = 53.6

This means that the height of the tree will exceed 18 feet after 53.6 years

Read more about logarithmic functions at:

brainly.com/question/25953978

7 0
3 years ago
Why is it important that the term “locked” is used when making the following statement? You can use a locked compass setting and
Lemur [1.5K]

You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.

7 0
3 years ago
I WILL MAKE YOU THE BRAINLIEST EASY QUESTION
trapecia [35]

Answer:

You can convert the denominator of each to 16 to compare each fraction. The wrenches should go in order from least to greatest: 5/16, 3/8, 7/16, 1/2, 9/16, 5/8, 11/16, and 3/4. Place on number line between 0 and 1. The number line shows values that are least on the left to the greatest values to the right.

Step-by-step explanation:

You can find a common denominator to compare all the fractions. The common denominator should be the LCM or lowest common multiple of 2, 4, 8, and 16. Since all can multiply to 16, this is the common denominator.

1/2 = 8/16

3/4 = 12/16

3/8 = 6/16

5/8 = 10/16

5/16

7/16

9/16

11/16

Now place in order according to the numerator value:

5/16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, and 12/16. We'll now write the list using the original fractions instead of their conversions.

5/16, 3/8, 7/16, 1/2, 9/16, 5/8, 11/16, and 3/4

Place these on the number line in order between 0 and 1.


6 0
3 years ago
Determine the intercepts of the line. <br><br> Y-intercepts (___,___) <br> X-intercepts (___,___)
jeyben [28]

The Y-intercept would be (0, 2.5).

The X-intercept would be (3.5, 0).

The intercepts of a line are considered the location of where a line crosses the axis. The Y-axis is the vertical line (up and down). The X-axis is the horizontal line (left to right).

The graph is counting by units of 0.5, meaning each grid line has a value of .5. Using this, we can determine the points of interception.

3 0
4 years ago
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