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3 years ago

6

Why is ½ multiplied in the formula for area of a triangle and trapezoid?

1 answer:

zloy xaker [14]3 years ago

7 0

Step-by-step explanation:

you can guess area of whole is l×b so area of half ie area of triangle =1/2 lxb

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The model represents x2 – 9x + 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

klio [65]

I didn't get all the part with the tiles, but here's the general answer:

given a polynomial

$p(x)=ax^2+bx+c$

we have that $x-k$ is a factor of $p(x)$ if and only if k is a root of $p(x)$ , i.e. if

$p(k)=ak^2+bk+c=0$

So, given the polynomial

$p(x)=x^2-9x+14$

We can check if $x-9$ is a factor by evaluating $p(9)$ :

$p(9)=81-81+14=14\neq 0$

So, $x-9$ is not a factor.

Similarly, we can evaluate $p(2),\ p(-5),\ p(-7)$ to check if $x-2,\ x+5,\ x+7$ are factors:

$p(2)=4-18+14=0,\quad p(-5)=25+45+14=84\neq 0,\quad p(-7)=49+63+14=126 \neq 0$

So, only $x-2$ is a factor of $x^2-9x+14$

4 0

3 years ago

Read 2 more answers

Need help finding the side length, thank you! please try and show work or you can

Tasya [4]

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

$\frac{15}{24}=\frac{10}{x}$ [cross multiply]

$15x=240$ [divide both sides by 15]

x=16

8 0

3 years ago

For every 15 Cheetos I ate 300 calories what's the unit rate

gregori [183]

Answer:

20 calories per Cheetos

Step-by-step explanation:

hope it helped

5 0

3 years ago

Anita and Joelle bowled together and their combined total score for one game was 425 points. Anita’s score was 40 less than twic

wariber [46]

Call Anita's score $"y"$ and Joelle's score $"x"$ .

1) "<span>their combined total score for one game was 425 points"
</span>Therefore $x+y=425$

2)"Anita’s score was 40 less than twice Joelle’s."
Therefore $y=2x-40$

Substitute:
$x+2x-40=425$

Solve:
$3x=465$
$x=155$

Backsubstitute:
$y=2x-40$
$y=2(155)-40$
$y=270$

6 0

3 years ago

2 ways to Answer 924×576

Readme [11.4K]

Answer:

it's either 576×924 or 924×576

which is 532224

4 0

2 years ago