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Natali [406]
2 years ago
15

For what value of p the equation [p-3]x²+4[p-3]+4=0

Mathematics
1 answer:
Vikentia [17]2 years ago
3 0

Step-by-step explanation:

(p-3)[x²+4]+4=0

(p-3)[x²+4]=-4

(p-3)=-4/x²+4

p=-4/x²+4+3

p=-4+3(x²+4)/x²+4

p= -4+3x²+12/x²+4

p=8+3x²/x²+4

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3 years ago
Write the equation of the line, given the y and x-intercepts.
Dimas [21]

Answer:

y = -(2/3)m - 2

Step-by-step explanation:

recall that the general equation of a straight line in slope-intercept form is

y = mx + b

where, m is the slope and b is the y - intercept

here we are given that the y - intercept is -2, hence the equation becomes:

y = mx + (-2)

or

y = mx -2

we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)

0 = m(-3) -2

0 = -3m - 2  (add 3m to both sides)

3m = -2  (divide both sides by 3)

m = -(2/3)

hence our equation is now

y = -(2/3)m - 2

5 0
3 years ago
Point F is on circle C. What is the length of line segment GF?
Levart [38]
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
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Zolol [24]
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6 0
3 years ago
Read 2 more answers
2 Points
weqwewe [10]

Answer:

12

Step-by-step explanation:

An isosceles triangle are three sides of two sides being equal in lengths.

If that is the case, the two opposite slanting sides which are equal, must be longer. Invariably, the third side is 12.

5 0
2 years ago
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