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mixer [17]
2 years ago
11

Use the discriminant to find the number and type of solution for x^2+6x=-9​

Mathematics
1 answer:
likoan [24]2 years ago
6 0

Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

\displaystyle \large{D =  {b}^{2}  - 4ac}

First, arrange the expression or equation in ax^2+bx+c = 0.

\displaystyle \large{ {x}^{2}  + 6x =  - 9}

Add both sides by 9.

\displaystyle \large{ {x}^{2}  + 6x + 9 =  - 9 + 9} \\  \displaystyle \large{ {x}^{2}  + 6x + 9 =  0}

Compare the coefficients so we can substitute in the formula.

\displaystyle \large{a {x}^{2}  + bx + c =  {x}^{2}  + 6x + 9 }

  • a = 1
  • b = 6
  • c = 9

Substitute a = 1, b = 6 and c = 9 in the formula.

\displaystyle \large{D =  {6}^{2}  - 4(1)(9)} \\  \displaystyle \large{D =  36 - 36} \\  \displaystyle \large{D =  0}

Since D = 0, the type of solution is one real root.

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AB and EF are the ones parallel to HG

Step-by-step explanation:


6 0
2 years ago
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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
VladimirAG [237]

Using the Heron's formula, the area of the triangle is: D. 95 square inches.

<h3>What is the Heron's Formula?</h3>

Area = √[s(s - a)(s - b)(s - c)] where s is half the perimeter, or (a + b + c)/2.

Given the following:

s = semi-perimeter = 1/2(50) = 25 in.

a = length of side a = 22 in.

b = length of side b = 13 in.

c = length of side c = 50 - 22 - 13 = 15 in.

Plug in the values

Area = √[25(25 - 22)(25 - 13)(25 - 15)]

Area = √[25(3)(12)(10)]

Area ≈ 95 square inches.

Learn more about the Heron's formula on:

brainly.com/question/10713495

#SPJ1

5 0
2 years ago
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
krok68 [10]

Answer:

The answer is 30.6 Units.

Step-by-step explanation:

~10+~5+~10+~5=~30.6

7 0
2 years ago
Find the width (w) of the rectangle if the area of the rectangle is x2 + 18x + 45.
poizon [28]

I'm not sure if you're already given the length of the rectangle, but the width is either (x + 3) or (x + 15).

We can find this by factoring x² + 18x + 45, as the area of a rectangle is found by multiplying the length and width together, so if we factor this expression we can find what was multiplied together.

Factoring x² + 18x + 45, we get (x + 3)(x + 15), which then tells us the two sides of the rectangle. Again, I'm not sure if you were already told the length, but if you were then the width is the other side. For example, if you were told the length was (x + 3), then the width would be (x + 15).

I hope this helps!

5 0
3 years ago
What's is the answer to 9+2× = 7​
Harlamova29_29 [7]

Answer:

\displaystyle -1 = x

Step-by-step explanation:

9 + 2x = 7

- 9 - 9

________

\displaystyle \frac{2x}{2} = \frac{-2}{2} \\ \\ x = -1

I am joyous to assist you anytime.

3 0
3 years ago
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