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VikaD [51]
3 years ago
12

Two linear equations are shown.

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

Answer:Let (1/3)x + 2 = (4/3)x-5

-> x + 21 = 4x

-> 3x = 21

->x = 7

So y = 7/3+2 = 13/3

Answer is (7, 13/3)


Step-by-step explanation:


Brilliant_brown [7]3 years ago
3 0
Let (1/3)x + 2 = (4/3)x-5

-> x + 21 = 4x

-> 3x = 21

->x = 7

So y = 7/3+2 = 13/3

Answer is (7, 13/3)
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Determine whether AB is tangent to the circle with center c
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Answer:

  yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

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a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

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b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

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c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

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2 years ago
Need help to prove someone wrong​
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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
18. In the figure, o is the center of the circle passing through P, Q, R and S. If angle SOQ = 150°, find the values of x and y.
AveGali [126]

Answer:

x = 75°

y = 105°

Step-by-step explanation:

Angle subtended on the circumference of the circle is half of the angle subtended on the center of the circle.

\therefore m\angle SRQ = \frac{1}{2} \times m\angle SOQ\\\\\therefore x = \frac{1}{2} \times 150\degree \\\\\red{\bold{\therefore x =75\degree}} \\

Quadrilateral PQRS is a cyclic quadrilateral.

\therefore m\angle R + m\angle P= 180\degree \\\\\therefore x + y = 180\degree \\\\\therefore 75\degree + y = 180\degree \\\\\therefore y = 180\degree - 75\degree \\\\\purple {\bold {\therefore y = 105\degree}} \\

3 0
3 years ago
What is 15% of 287? Calculate the percentages. Make sure to show all your work!
jolli1 [7]

Answer:

Step-by-step explanation:15 percent *287 = (15/100)*287 = (15*287)/100 = 4305/100 = 43.05Now we have: 15 percent of 287 = 43.05Question: What is 15 percent of 287?We need to determine 15% of 287 now and the procedure explaining it as suchStep 1: In the given case Output Value is 287.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 287 = 100%.Step 4: In the Same way, x = 15%.Step 5: On dividing the pair of simple equations we got the equation as under287 = 100% (1).x = 15% (2).(287%)/(x%) = 100/15Step 6: Reciprocal of both the sides results in the following equationx%/287% = 15/100Step 7: Simplifying the above obtained equation further will tell what is 15% of 287x = 43.05%Therefore, 15% of 287 is 43.05

6 0
1 year ago
Read 2 more answers
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