4.2 = <u>c
</u> 8
<u>
<em /></u><em>multiply both sides by 8
</em>
4.2* 8 = <u>8</u><u>c
</u> 8
<u>
</u> c = 33.6<u>
</u>
0-449 is the most reasonable bc of how much the shipping costs
Answer:
<h2>A horizontal translation and a 180° rotation only.</h2>
Step-by-step explanation:
Notice those shapes are positioned as a reflection.
So, one way to map them onto is self is by rotating 180° and a horizontal translation. Or it could work if we translate it horizontally, the we reflect it vertically. Those transformations would map the strip onto itself.
Therefore, the second choice is the best answer.
Let's solve your equation step-by-step.
−(1+7x)=6(−7−x)+36
Step 1: Simplify both sides of the equation.
−(1+7x)=6(−7−x)+36
−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)
−7x+−1=−42+−6x+36
−7x−1=(−6x)+(−42+36)(Combine Like Terms)
−7x−1=−6x+−6
−7x−1=−6x−6
Step 2: Add 6x to both sides.
−7x−1+6x=−6x−6+6x
−x−1=−6
Step 3: Add 1 to both sides.
−x−1+1=−6+1
−x=−5
Step 4: Divide both sides by -1.
−x
−1
=
−5
−1
x=5
Answer:
x=5
Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)