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8_murik_8 [283]
3 years ago
15

What is the solution to the system of equations below? y= -1/3 and x = –6

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer: The Answer is (4,-6)

Step-by-step explanation:

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Write the equation of the parabola in vertex form.
stellarik [79]

well, looking at the picture of this vertically opening parabola, it has a vertex at 0,0 and it passes through 2,1 hmm ok

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}

8 0
2 years ago
Which equation can be used to solve for x in the following diagram?
Setler [38]

∑ Hey, petalssquad10 ⊃

Answer:

( 10 x + 10 ) = 110

Step-by-step explanation:

As you can see this following diagram shown a vertical angles which  are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.

Hence, the equation we can be used to solve for x in the following diagram is:

( 10 x + 10 ) = 110

You can also refer to the image below:

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/18/2022</em>

6 0
1 year ago
A gardener uses 1\3 of liter of water to water 2\7 of the garden
andrew11 [14]
The answer is 13 because you add.
4 0
3 years ago
On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line s
liq [111]

Answer:

Step-by-step explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q.  Note how 3 and 5 add  up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.

8 0
3 years ago
Read 2 more answers
T = 4k + 9
BaLLatris [955]
A ) 17 because 4*2+9=8+9=17
8 0
3 years ago
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