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Arlecino [84]
3 years ago
5

If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer:

(x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2}  - 2xy \\=  (x^{2} + 2xy + y^{2})  - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9

Hope this helps!

:)

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Why is ac smaller than ad if they both look very close
kakasveta [241]

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

\begin{gathered} MK=21;AC=\text{?} \\ MR=24;AD=28\frac{4}{5} \\ KR=CD=\text{?} \end{gathered}

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

8 0
1 year ago
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi
Zanzabum

Answer:

<u>12.5% ≈ 13%</u>

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

\frac{75}{600}*100 = 12.5 \%

≈ 13% to the nearest whole number

7 0
2 years ago
Question 3 of 10
amid [387]

Answer:

B. SAS

\frac{sm}{dl}  =  \frac{27}{9}  = 3  \\  \frac{am}{el}  =  \frac{15}{5}  = 3 \\  angle \: m= angle \: l

Brainliest please~

7 0
2 years ago
Which Two Numbers Add Up To Negative 26 And Multiply To 11?
Fynjy0 [20]
Xy=11
x+y=-26


x+y=-26
minus x both sides
y=-26-x

sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0

ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}


a=1
b=26
c=11

x=\frac{-26+/-\sqrt{26^{2}-4(1)(11)} }{2(1)}
x=\frac{-26+/-\sqrt{676-44} }{2}
x=\frac{-26+/-\sqrt{632} }{2}
x=\frac{-26+/-2\sqrt{158} }{2}
x=-13+/-\sqrt{158}

x=-13+\sqrt{158} or -13-\sqrt{158}

aprox

x=-0.420195 or -25.5698

those are the numbers
5 0
3 years ago
Rounded to three decimal places, what is the value of r for this data set?
victus00 [196]
I think the answer is B not sure though
7 0
3 years ago
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