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2 years ago

8

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an

d reciprocal slopes. You must show all of your work to receive credit.

1 answer:

denis-greek [22]2 years ago

5 0

The correct answer is acute.

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Sarah, Natasha and Richard share some sweets in the ratio 4:5:3. Sarah gets 36 sweets. How many sweets are there altogether?

strojnjashka [21]

Answer:

40

Step-by-step explanation:

4 0

3 years ago

X^2+y^2=25<br> y=2x+1<br> Solve by using formula

zlopas [31]

Answer:

Easy graph on desmos and find point of intersection and there

Step-by-step explanation:

6 0

3 years ago

Factor the following:<br><br><br><br> 2x2+9x+9

ryzh [129]

Answer: (2x+3)(x+3)

Step-by-step explanation:

Looking at this, you know that it must look something like

(? +3)(?+3) , because they must multiply to 9. The ?s must multiply to 2x^2, the most plausible values being 2x and x, ending us up with (2x+3)(x+3)

8 0

3 years ago

Read 2 more answers

The variable $x$ varies directly as the square of $y$, and $y$ varies directly as the cube of $z$. If $x$ equals $-16$ when $z$

Kisachek [45]

If $x$ varies directly as $y^2$ , then there is some constant $a$ for which

$x=ay^2$

Similarly, there is some constant $b$ such that

$y=bz^3$

Given that $x=-16$ when $z=2$ , we have

$\begin{cases}-16=ay^2\\y=8b\end{cases}\implies-16=a(8b)^2\implies ab^2=-\dfrac14$

Now when $z=\frac12$ , we get

$\begin{cases}x=ay^2\\y=\frac b8\end{cases}\implies x=a\left(\dfrac b8\right)^2=\dfrac{ab^2}{64}=\dfrac{-\frac14}{64}=\boxed{-\dfrac1{256}}$

6 0

4 years ago

If h = 3.7 then what is 0.8 + h?

Gnoma [55]

H=3.7
Then 0.8+h=0.8+3.7
=4.5

4 0

4 years ago