3 years ago

Which parabola will have one real solution with the line y = x – 5?

Mathematics

2 answers:

8_murik_8 [283]3 years ago

5 0

Step-by-step explanation:

The answer

stealth61 [152]3 years ago

4 0

<span>The answer is 'D'. Method: substitute y with x-5 in each of the equations for solving simultaneously. We get a quadratic equation of the form Ax2 +Bx+ C = 0. It has only one real solution if B2-4AC = 0. This holds true only with the last option where after substitution of y we get x2+6x+9 = 0. B2-4AC =36-4*9=0. So the parabola y= x2 +7x +4 has one real solution with the line y = x- 5. The solution point is (-3,-8).</span>

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The sum of 3 integers is 194. the sum of the first and second integers exceeds the third by 80. The third integer is 45 less tha

kirill115 [55]

Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45

Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239

Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102

Solving for y,
y = -2(102) + 239
y = 35

Solving for z,
z = 102 - 45
z = 57

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A polygon has the following coordinates: A(-4,-3), B(4,-3), C(4,-7), D(-4,-7). Find the length of BC.

KIM [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

(72 divided by 8-x2x3+1 plese help

Solnce55 [7]

Answer:

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Step-by-step explanation:

Let me know if that is not the same equation you wrote and if you have any questions !!

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Ber [7]

Answer:

2/1

Step-by-step explanation:

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(2a^3)(4a^6)(2a^3)^6

hodyreva [135]

16a^18 is the answer for what you typed

If the question was ((2a^3)(4a^6)(2a^3))^6, then the answer would be 16a^72.

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