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3 years ago

13

Find two algebraic expressions for the area of each figure. First, regard the figure as one large rectangle, and then regard the

figure as a sum of four smaller rectangles.

1 answer:

lapo4ka [179]3 years ago

7 0

Area = length * width for a rectangle or square
Total area = (t+5)(t+3)
the rest of the areas can be seen here
http://prntscr.com/dc7jdg

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Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14

Bess [88]

Answer:

$f(x)=(x-4.5)^{2}-6.25$ or $f(x)=(1/4)(2x-9)^{2}-6.25$

Step-by-step explanation:

we have

$f(x)=x^{2}-9x+14$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-14=x^{2}-9x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}$

$f(x)+6.25=x^{2}-9x+4.5^{2}$

Rewrite as perfect squares

$f(x)+6.25=(x-4.5)^{2}$

$f(x)=(x-4.5)^{2}-6.25$

$f(x)=(1/4)(2x-9)^{2}-6.25$

5 0

3 years ago

SIZIF [17.4K]

Answer:

The answer is one solution because the graphs are together in one specific point.

4 0

2 years ago

Mrs. Cooper has 51.2 pounds of soil. She uses 12.9 pounds of soil for her houseplants and 30.4 pounds of soil for her garden How

myrzilka [38]

Answer:

7.9

Step-by-step explanation:

She has a total of 51.2 and uses 12.9+30.4.

The equation would be 51.2-(12.9+30.4).

51.2-(12.9+30.4)

=51.2-43.3

=7.9

Have a nice day!!!!!!! :-)

<u>KA</u>

3 0

3 years ago

You observe the following pattern: J, K, N, B. What is the next letter in the sequence?

Nata [24]

Answer:

C. G

Step-by-step explanation:

4 0

3 years ago

How many solutions doe

musickatia [10]

Answer:

Given equation have two solutions.

x = $-\frac{5}{2} and -\frac{8}{3}$

Right option is (D)

Step-by-step explanation:

We have given,

$6x^{2} +40=-31x$

we can rewrite this equation in the form given as:

6x² + 40 + 31x = 0

or 6x² + 31x + 40 = 0

On solving this quadratic equation, we get :

x = $-\frac{5}{2} and -\frac{8}{3}$

That means, given equation have two solutions.

Right option is (D)

8 0

3 years ago

Read 2 more answers