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2 years ago

Jane evaluates x2-3x+5 for x=-2 below.

Mathematics

1 answer:

denis-greek [22]2 years ago

6 0

Answer: Jane incorrectly evaluated (-2)² in step 2.

Step-by-step explanation:

$(-2)^{2}=4$ , not -4.

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What is the simplified form of √144x^36

Nadusha1986 [10]

Answer:

The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

Step-by-step explanation:

Given : $\sqrt{144x^{36}}$

We have to write the simplified form of $\sqrt{144x^{36}}$

Consider the given expression $\sqrt{144x^{36}}$

We know $\sqrt{144}=12$

and $\sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}$

Thus,

$\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}$

Simplify, we have,

$=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}$

Thus, The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

6 0

3 years ago

Read 2 more answers

3. i) Determine the volume of the cylinder above to the nearest cubic centimetre. (3 points)

klemol [59]

Answer:

1480cm³

Step-by-step explanation:

The Equation for the Volume of a Cylinder is V=Bh, where B is the area of the circle (A= πr²).

We are given all of the things we need, we just have to plug them into the equation.

First let's find B using the radius(r) which is given to be 6.4cm, so B=πr²

B=π(6.4cm)²

Plug that into a calculator to get 128.6796351cm²

Now we can plug that into the original equation, V=Bh.

V=(128.6796351cm²)h

h is also given to be 11.5cm, so lets plug that in.

V=(128.6796351cm²)(11.5cm)

You will get V=1479.815804cm³, but since we are rounding to the nearest cubic centimeter, we would round up to 1480cm³.

3 0

3 years ago

In the diagram, GB = 2x + 3..

zaharov [31]

<u>Answer-</u>

$\boxed{\boxed{GB=15\ units}}$

<u>Solution-</u>

From the attachment,

AD = AE, so FA is a median.

BD = BF, so BE is a median.

CF = CE, so DC is a median.

And G is the centroid.

From the properties of centroid, we know that

The centroid divides each median in a ratio of 2:1

So,

$\Rightarrow FG:AG=2:1$

$\Rightarrow \dfrac{FG}{AG}=\dfrac{2}{1}$

$\Rightarrow FG=2\times AG$

$\Rightarrow 5x=2\times (x+9)$

$\Rightarrow 5x=2x+18$

$\Rightarrow 3x=18$

$\Rightarrow x=6$

So, GB will be $2(6)+3=15$ units

5 0

3 years ago

Read 2 more answers

Verify that ABC is a right triangle by showing that the sum of the areas of the squares formed with sides a and b is equal the a

sweet-ann [11.9K]

Step-by-step explanation:

Pythagoras' theorem shows that a^2+b^2=c^2. Not sure how else to help here.

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3 years ago

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Can someone plz help me solve this..

Vika [28.1K]

Answer:sorry I'm a 4 grader

Step-by-step explanation:

7 0

3 years ago