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olga55 [171]
3 years ago
5

Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0
35-5x+18x^2+24x 
Simplify:
18x^2+19x+35
SIZIF [17.4K]3 years ago
7 0

Answer:

The simplified form of the given expression is 18x^2+19x+35.

Step-by-step explanation:

The given expression is

5(7-x)+6x(3x+4)

We need to find the simplified form of the given expression.

Using distributive property we get

5(7)+5(-x)+6x(3x)+6x(4)

On further simplification we get

35-5x+18x^2+24x

On combine like terms.

18x^2+(-5x+24x)+35

18x^2+19x+35

Therefore the simplified form of the given expression is 18x^2+19x+35.

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m
Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, A= \frac{1}{2}bh

When A=190 cm^2, h=10cm

190= \frac{1}{2}*b*10\\b=38cm

\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,

2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min

The base is reducing at a rate of 3.4cm per min.

8 0
3 years ago
What is the value of m in the figure below?
Scilla [17]

Answer:

Step-by-step explanation:

6.7

6 0
3 years ago
What is the mean for the data set?
PIT_PIT [208]
83.3
Just add up all the numbers and divide by 6, as there are six numbers in this set of numbers
7 0
3 years ago
Read 2 more answers
Solve for x. 2=4x-6​
77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

Rewrite the equation as 4x - 6 = 2

Move all terms not containing x to the right side of the equation:

Add 6 to both sides of the equation.

4x = 2 + 6

Add 2 and 6.

4x = 8

Divide each term by 4 and simplify.

Divide each term in 4x = 8 by 4.

\frac{4x}{4} =\frac{8}{4}

Reduce the expression by cancelling the common factors.

x=\frac{8}{4}

Divide 8 by 4.

x = 2

8 0
3 years ago
Areas and perimeters​
Marta_Voda [28]
I think its the second one
8 0
3 years ago
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