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11111nata11111 [884]
3 years ago
7

Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
6 0

Answer:

It is rational and equal to 12.

Step-by-step explanation:

sukhopar [10]3 years ago
3 0

Answer:

\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Step-by-step explanation:

Given : \sqrt{2} (3\sqrt{2} +\sqrt{14})

Solution:

\sqrt{2} (3\sqrt{2} +\sqrt{14})

3*2+\sqrt{28})

6+2\sqrt{7}

Thus ,  \sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14

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SUPER EASY WILL GIVE BRAINLEIST IF DONE BEFORE 10 PM PLS HURRY. IF U HAVE TIME PLS HELP ME ON OTHER QUESTIONS THANK YOU <3
andrew11 [14]

Answer:

1. new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16

3. The new area is 1/9 of the original area.

Step-by-step explanation:

1. side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.

3. Let the length of the rectangle be x

Let width of rectangle be y

Area of rectangle =  L*W

Now Each side length of the rectangle is multiplied by 1/3

So, new area =  (1/3)L * (1/3)W

=(1/9)LW

So, the new area is 1/9 of the original area.

7 0
3 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
1 year ago
QUICK!! TEN POINTS!! BRAINLIEST FOR WHOEVER GETS IT RIGHT!!
lara [203]

Answer:

(-2, -4.5)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
HELP MEE :)) PLEASEEE &lt;3
Mandarinka [93]
<h3>Volume of the cylinder:</h3>

v = \pi {r}^{2} h

v = 3.14 \times  {2}^{2}  \times 3

v = 37.68 \:  {cm}^{3}

<h3>Volume of the rectangular prism:</h3>

v = lwh

v = 6 \times 5 \times 7

v = 210 \:  {cm}^{3}

<h3>Total volume:</h3>

v = 37.68 + 210

v = 247.68 \:  {cm}^{3}

4 0
1 year ago
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A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square cent
Bad White [126]
168cm2
Let r cm be the radius of the balloon, then 
<span>2pi(r)=23=>r=23/(2pi) </span>
<span>The surface area= </span>
<span>4pi(r^2)= </span>
<span>4pi[23/2pi)]^2= </span>
<span>(23^2)/pi=168.386 cm^2 </span>
<span>approximately.</span>
7 0
3 years ago
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