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alexira [117]
4 years ago
9

Prove algebraically that the straight line with equation x = 2y + 5 is

Mathematics
1 answer:
aliya0001 [1]4 years ago
7 0

Answer:

{ \tt{line : x = 2y + 5}} \\ {  \tt{circle :  {x}^{2}  +  {y}^{2}  = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2}  +  {y}^{2} = 5 }} \\ { \tt{4 {y}^{2}  + 20y + 25 +  {y}^{2}  = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y =  - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved

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Answer:

please provide an image of the number line

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4 years ago
Find the sum of the measures of Angle A, Angle B, Angle C and Angle D.
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Answer:

Q:

my problem is this. Solve the problem.The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger t…

A:

In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle Step-by-step explanation:

Find the measures of angles A, B, and C in triangle ABC, if measure of angle B = 5 times the measure of angle A measure of angle C = measure of angle A + 110

✓ A + B + C = 180 A + 5A + A+110 = 180

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3 years ago
If s(x)=2-2x^2 and t(x)=3x, which value is equivalent to (s•t)(-7)?
bazaltina [42]

Answer:

Step-by-step explanation:

Answers

-439

(s o t)(x)=s(t(x))

(s o t)(-7)=s(t(-7))

x=-7→t(-7)=3(-7)→t(-7)=-21

(s o t)(-7)=s(t(-7))=s(-21)

x=-21→s(-21)=2-(-21)^2=2-441→s(-21)=-439

(s o t)(-7)=s(t(-7))=s(-21)=-439

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7 0
3 years ago
Simplify 3 3/4- 1/5
shutvik [7]
Answer: 3 11/20

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6 0
4 years ago
Read 2 more answers
Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these
zavuch27 [327]

What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.

From here, use the transitive property

We combine these two statements

  • WX = XY
  • XY = YZ

into the following

WX = YZ

So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.

Through similar logic, we can chain together

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  • WX = XY

to get VW = XY

-------------

Consequently this means VW, WX, XY, and YZ are all the same length

Let's call that length m.

m = length of segment VW = length of WX = etc etc

This means,

VY = VW+WX+XY = m+m+m = 3m

and

WZ = WX+XY+YZ = m+m+m = 3m

Both VY and WZ are exactly 3m units long, therefore, VY = WZ

7 0
3 years ago
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