Find the Area of the composite shape shown below:

Mathematics

1 answer:

spin [16.1K]2 years ago

7 0

Answer:

104 ft

Step-by-step explanation:

6 x 4 = 24

16 x 8 = 128

128 - 24 = 104 ft

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A Write an equivalent equation that does NOT contain decimals.

vampirchik [111]

0.5x - 0.1 = -2.9

When you multiply each side of an equation by the same number,
you don't change the equation or its solution. If you want to get rid
of the decimals, you could multiply each side by 10. Then the
equation is

 5x - 1 = -29

You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:

 5x - 1 = -29

Add 1 to each side: 5x = -28

Divide each side by 5 : x = -28 / 5

Simplify the solution: x = -5 and 4/5 .

Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.

5 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$