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Ronch [10]
3 years ago
5

Solve the system y = -x + 7 and y = 0.5(x - 3)2 Show all work

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

x=5, y=2

Step-by-step explanation:

since y = -x+7

substitute it in the second equation to get; -x+7= 0.5(x-3)2

then solve the equation

which would be -x+7= x-3

because 0.5 ×2=1

when you connect the like terms you would get:-x-x=-3-7

which is equals to: -2x=-10

which would make x =5

so just substitute x in equation 1 for 5 which would give

y= -5+7

so y = 2

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Thank you for your help!
nalin [4]

Answer:

To find all coordinates, we just need to observe the graph.

The coordinates of point C are (2c,d). From the graph, we notice that the x-coordinate of C is the same x-coordinate of V, because they are in the same vertical lines.

The coordinates of point D are (c,0). The problem states that D is a mid point, so basically its coordinate is half of point's V, which is c.

The slope of both AB and DC is d/c. The slope is the fraction between y-coordinate and x-coordinate. If you we calculate the slope of DC, we would have d as vertical coordinate and c as horizontal coordinate.

The slop of both AD and BC is -b/c-a. The slope between the points A(a,b) and D(c,0) is

m=\frac{0-b}{c-a}=-\frac{b}{c-a}

5 0
3 years ago
Read 2 more answers
PLZ HELP ASAP INSCRIBED QUADRILATERALS
svp [43]
For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
117 + D = 180
D = 63 degrees
8 0
4 years ago
Rename 5/6 and 14/15 using the least common denominator.
baherus [9]

Answer:

\frac{25}{30}~and~\frac{28}{30}

  • Multiply 5 by 5 to get your first parameter.

5 * 5 = 25

  • Multiply 6 by 5 to get the denominator, or your second parameter.

5 * 6 = 30

  • For the second fraction, \frac{14}{15}, you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

14 * 2 = 28

  • Now, multiply 15 by 2

15 * 2 = 30

  • The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

25~and~30 -- > \frac{25}{30}

28~and~30-- > \frac{28}{30}

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned <em>not through more problems, though.</em>

________________________________________________________

<h3>What have we learned?</h3>

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

8 0
3 years ago
Water is being pumped to empty a swimming pool.
IceJOKER [234]
To empty the pool, you need to lower the water level by 150cm. since you can only lower it by 30cm every 2 hours (also same as 15 cm per hour), that means it will take you 10 hours.

150cm*(2 hours)/(30cm) = 150*(1/15) = 150/15 = 10.

6 a.m. + 10 hours = 4 p.m.

So the answer is C.) 4 p.m.
3 0
4 years ago
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40​
alina1380 [7]

Answer:

A (50)

Step-by-step explanation:

Mean is the total numbers added up divided by the # of numbers.

There are 6 numbers.

51 + 60 + 80 + 32 + 47 + 30 = 300

300/6 = 50

Therefore, the answer is A.

7 0
3 years ago
Read 2 more answers
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