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PolarNik [594]
3 years ago
6

StartLayout Enlarged left-brace 1st row x² + y² = 25 2nd row 2x + y = 25 EndLayout 0, –5) and (–5, 5) (0, –5) and (5, –15) (0, –

5) and (–4, 3) (0, –5) and (4, –13)
Mathematics
2 answers:
Bumek [7]3 years ago
5 0

Answer:

C. (0,-5) (-4,3)

Step-by-step explanation:

Verdich [7]3 years ago
3 0

Answer:

The line does not intersect the curve

Step-by-step explanation:

Assuming that we are looking for the points of intersection of

{x}^{2}  +  {y}^{2}  = 25

and

2x + y = 25

We make y the subject in the second equation to get:

y = 25 - 2x

When we substitute into the first equation:

{x}^{2}  +  {(25 -2 x)}^{2}  = 25

Let us expand to get:

{x}^{2}  + 625 - 100x + 4 {x}^{2}  = 25

We obtain the standard form

5 {x}^{2}  - 100x + 600 = 0

Divide through by 5

{x}^{2}  - 20x + 120 = 0

The discriminant is

{( - 20)}^{2}  - 4 \times 1 \times 120 =  - 80

Hence the quadratic equation has no real roots.

This means the line and point has no point of intersection.

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A locker combination has 2 nonzero digits. Digits in a combination are not repeated and range from 2 through 9. Event A = choosi
Anna [14]
It must be B.

There are two possibilities; in the first, the first digit is below 5, in the second, it is above. The probability of the first possibility is 3/8, because there are 3 possible digits below 5 and 8 total digits. In this scenario, the chance of the second digit being below 5 is 2/7, because one of the digits is taken. In the other possibility, which has a chance of 5/8, the probability of choosing a number below 5 is 3/7, since all of them are still available. Doing the arithmetic, you find that the total probability is 2/7. Hope this helps!
6 0
3 years ago
8.14÷20 please show work​
saul85 [17]

Answer:

0.407

Step-by-step explanation:

 <u>0. 4 0 7</u>

2 0     /8. 1 4 0

 −<u> 0</u>      

   8 1    

 <u>− 8 0   </u>

     1 4  

  <u> −   0  </u>

     1 4 0

   −<u> 1 4 0</u>

         0

6 0
3 years ago
Read 2 more answers
Y =1/4x + 3<br> Y = -1<br> Help me
kap26 [50]

Y = 7  

Explication pas à pas:

x est -3 donc -3 et connectez le x.

Y = -1 / 3 (-3) +5.

Y = 1 + 5

Y = 7

7 0
3 years ago
Jason jogged 2/3 mile in 1/3 hour. What was his speed in miles per hour?
fenix001 [56]

Answer:

I honestly was having the worst time trying to solve this sorry :(, for real idk if any of these are right

i got 2 answers; 1st: ≈0.5 mph

the 2nd; 2 mph

Step-by-step explanation:

Speed = \frac{Distance}{Time}

2/3 miles = 3520 feet

1/3 hours = 20 minutes

------Make a proportion-----

\frac{3520ft}{20min} = \frac{1 mi=5280 ft}{1hr = 60min}

cross multiply------

3520 * 60 = 211200

5280 * 20 = 105600

Divide \frac{211200}{105600}= 2

---(this is where i got confused cuz 2 doesn't make any sense)--

If you flip them, \frac{105600}{211200}=0.5 which makes more sense

hope i helped :(

7 0
3 years ago
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu
babymother [125]

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

4 0
2 years ago
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