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sattari [20]
3 years ago
11

write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.​

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

A = 5x² + 6x + 1

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (a + b)

where h is the height and a, b the parallel bases, thus

A = \frac{1}{2} (x + 1)(6x - 5 + 4x + 7)

   = \frac{1}{2} (10x + 2)(x + 1)

   = (5x + 1)(x + 1) ← distribute using FOIL

   = 5x² + 6x + 1

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Find the solution of this system of equations<br> -4y = -64 - 6x<br> 4x - 4y = -36
blagie [28]

The solution of system is x=14, y=37

Step-by-step explanation:

Given equations are:

-4y = -64 - 6x  => 6x-4y=-64     Eqn 1

4x - 4y = -36     Eqn 2

Subtracting equation 2 from eqn 1

(6x-4y)-(4x - 4y) = -36+64\\6x-4y-4x+4y=28\\2x=28\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{28}{2}\\x=14\\Putting\ x=14\ in\ equation\ 1\\-4y=-64-6(14)\\-4y=-64-84\\-4y=-148\\Dividing\ both\ sides\ by\ -4\\\frac{-4y}{-4}=\frac{-148}{-4}\\y=37

The solution of system is x=14, y=37

Keywords: Linear equation, Elimination method

Learn more about linear equations at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

4 0
3 years ago
Find the 11th term of the geometric sequence 7, -28, 112, ...
Romashka-Z-Leto [24]

Answer:

-7,340,032

Step-by-step explanation:

3 0
3 years ago
3. Which linear equation corresponds to the line graph?
iogann1982 [59]

Answer:

Y=1/3x

Step-by-step explanation:

1) there is no y intercept as x=0 when y=0 so that rules out y=x-2

2) next, we will use the formula for slope to find the value of m

Y2-Y1/X2-X1

Where y2=-1

Y1=0

X2=-3

X1=0

So

-1-0/-3-0=-1/-3

Aka 1/3

So y=1/3x

Hope this helps!

3 0
3 years ago
QUESTION 6
Oxana [17]

Answer:

Option D. 17%

Step-by-step explanation:

we have

f(x)=250,000(1.17)^{x}

This is a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

so

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

8 0
3 years ago
Read 2 more answers
Select the point that is a solution to the system if inequalities yx^2-6
labwork [276]

Answer:

The correct answer is A.

A(0,-2)

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, A(0,-2) falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

y\:

If we substitute A(0,-2), we get;

-2\:


-2\:


This statement is true.

The second inequality is

y\:>\:x^2-6

If we substitute A(0,-2), we get;

-2\:>\:(0)^2-6

This gives,

-2\:>\:-6

This statement is also true.



8 0
3 years ago
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