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Fittoniya [83]
2 years ago
14

The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in l

ike 15 minutes so please hurry)
Mathematics
1 answer:
Tatiana [17]2 years ago
6 0

Would appreciate brainly <3

Download pptx
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Write an equation of te circle with the center (0,0) and radius square root of 15
Stolb23 [73]
Your equation is:

x² + y² = 15
5 0
3 years ago
Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u/v+v/u
Hitman42 [59]

Answer:   \dfrac{-17}{21}

Step-by-step explanation:

Given: u and v be are the solutions of  3x^2+5x+7=0

Let  ax^2+bx+c=0 is the quadratic equation and u and v are the zeroes/solutions then

Sum of zeroes;   u+v = \dfrac{-b}{a}

Product of zeroes; uv= \dfrac{c}{a}

Comparing  3x^2+5x+7=0  to  ax^2+bx+c=0

we get a= 3 , b= 5 and c = 7

u+v = \dfrac{-b}{a} = \dfrac{-5}{3}----(i)

uv= \dfrac{c}{a} = \dfrac{7}{3}----(ii)

Now we have to find

\dfrac{u}{v} +\dfrac{v}{u} =\dfrac{u^2+v^2}{uv} adding and subtracting 2uv in numerator we get

= \dfrac{u^2+v^2+2uv-2uv}{uv}= \dfrac{(u+v)^2-2uv}{uv}

Substituting the values from (i) and (ii) we get

\dfrac{(\dfrac{-5}{3} )^2-2\times \dfrac{7}{3} }{\dfrac{7}{3} } = \dfrac{\dfrac{25}{9} -\dfrac{14}{3} }{\dfrac{7}{3} }= \dfrac{\dfrac{25-42}{9} }{\dfrac{7}{3}} =\dfrac{-17}{9} \times \dfrac{3}{7} = \dfrac{-17}{21}

Hence, the value of \dfrac{u}{v} +\dfrac{v}{u}   is  \dfrac{-17}{21}

5 0
3 years ago
Determine the longest side in ΔDEF.
Helen [10]

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

<u>Relationship between the side and angle in triangle:</u>

  • The shortest side is always opposite to the smallest interior angle.
  • The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠­E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

Hence the segment DF is the longest side in the ΔDEF.

6 0
2 years ago
Read 2 more answers
tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, trianglr, cricle" repeating pattern. if bot
RoseWind [281]

Both tanji & kenji have same number of circles i.e. 50 .

<u>Step-by-step explanation:</u>

Here we have , tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, triangle, circle" repeating pattern. if both tanji and kenji have 100 shapes in their patterns,  . We need to find that which pattern contains more circles .Let's find out :

<u>tanji creates a "square, circle" </u>

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 1 every time out of 2 shapes :

Total number of times circle = \frac{100}{2}(1)

Total number of times circle = 50

<u>Kenji creates a "Square, circle, triangle, circle" </u>

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 2 every time out of 4 shapes :

Total number of times circle = \frac{100}{4}(2)

Total number of times circle = 50

Both tanji & kenji have same number of circles i.e. 50 .

3 0
3 years ago
Which of the following complete the proof above?
svp [43]

Answer:

(A)

Step-by-step explanation:

To be honest, since all of them are different, as long as you get the first one right, you will get the others right. A is your answer, for the following reasons:

Reflexive Property: The Reflexive property states that the mirrored version of itself will always be congruent with itself. Generally, to make it easier, they will write it opposite (as they did in the given proof):

<em>line</em> AC ≅ <em>line</em> CA

~

8 0
3 years ago
Read 2 more answers
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