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Paul [167]
3 years ago
12

Find the discriminant and the num x2 + 2x + 7 = 0 A. 28; two real roots

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

\frac{-b+\sqrt{b^2-4ac} }{2a} and \frac{-b-\sqrt{b^2-4ac} }{2a}

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

\sqrt{4-4(1)(7)}\\\sqrt{4-28}  \\\sqrt{-24}

Since the inside of the square root is negative, there are no real roots.

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Which equation describes the circle
deff fn [24]

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

\large \boxed{ {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2} }

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

\large{ {(x - 5)}^{2}  +  {(y - ( - 1))}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  = 49 }

So the answer is B choice.

6 0
3 years ago
What is the sum of the first seven terms of the geometric series 2 - 10 +50 -...?
Umnica [9.8K]

Answer:

26042.

Step-by-step explanation:

What's the first term of this geometric series?

2.

What's the common ratio of this geometric series?

Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.

\displaystyle r = \frac{-10}{2} = -5.

What's the sum of this series to the seventh term?

The sum of the first n terms of a geometric series is:

\displaystyle a_1 \cdot \frac{1-r^{n}}{1-r},

where

  • a_1 is the first term of the series,
  • r is the common ratio of the series, and
  • n is the number of terms in this series.

\displaystyle 2 \times\frac{1- (-5)^{7}}{1- (-5)}=26,042.

3 0
3 years ago
A piece of ribbon is 63 inches long. it is cut into pieces that are each 7 inches long. how many pieces of ribbon are there?
Burka [1]

Answer: 9

63 divided by 7 = 9

9 x 7 = 63

3 0
2 years ago
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selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?
galina1969 [7]

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

3 0
3 years ago
Two quantities are related, as shown in the table:
mixer [17]
This answer is Y=-1/2x+11 I believe
5 0
3 years ago
Read 2 more answers
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