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4 years ago

Simplify the expression below. 5x² (3x + 2)

Mathematics

2 answers:

rosijanka [135]4 years ago

7 0

Answer:

15x^3 + 10x^2 is the answer.

Step-by-step explanation:

Westkost [7]4 years ago

3 0

Step-by-step explanation:

$5x^2(3x+2)$

Distribute into 5x² into (3x +2).

$15x^3+10x^2$

The simplified expression is <em>15x³ + 10x²</em>

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Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

Solve for A if Ab = ut<br> Solve for c if Kc = 9 a<br> Solve for D if Bd = Ca

pychu [463]

Answer:

Below in bold.

Step-by-step explanation:

Ab = ut

Divide both sides by b

A = ut/b.

The other 2 are solved in a similar way:

Kc = 9a

c = 9a/K

Bd = Ca

d = Ca/B.

7 0

3 years ago

How do I figure out the area and perimeter of these shapes and how do you figure out the unknown side? Q9

nydimaria [60]

To work out the area or perimeter of any compound shape, split the shape so that you are left with regular shapes e.g. for 9b split the shape and you will get two rectangles

Then you can easily work the area/perimeter of the shapes you made and add them up

Hope this helps :)

4 0

3 years ago

Which formula gives the average rate of change of f(x) over the interval [8,12]?

Kruka [31]

I think the answer is C hope this would help you

5 0

4 years ago

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8 of the students went to see live animals what fraction part of the group is that

lozanna [386]

In order to answer that question we would have to know how many people are in the group
For example: if there are ten people in the group then the fraction would be 8/10
If there are 20 people in the group then the fraction would be 8/20
I hope this helped

7 0

3 years ago

Read 2 more answers