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3 years ago

Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 13x^2 +1 = -10

Mathematics

1 answer:

12345 [234]3 years ago

3 0

Step-by-step explanation:

The given quadratic equation is :

$13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0$

The formula to solve a quadratic equation is :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Put a = 13, b = 10 and c = 1

So,

$x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651$

Hence, this is the required solution.

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1) Find the missing side. Give your answer in simplest radical form.

gladu [14]

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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Left to Right

Equality Properties

Multiplication Property of Equality
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Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
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3 0

2 years ago

Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) =

Vikentia [17]

Answer:

A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

f(x) = -3x^2 +4x -4

7 0

1 year ago

The measure of one angle is 80 degrees. What is the measure of its supplement? A 80 degrees B 100 degrees C 10 degrees D I don't

ArbitrLikvidat [17]

Answer:

B. 100 degrees

Step-by-step explanation:

5 0

3 years ago

Will give 100 pts and brainliest

prohojiy [21]

Answer:

y = $\sqrt{19^2 + 8.2^2}$

Step-by-step explanation:

to get the hypotenuse:

use the Pythagorean theorem:

a² + b² = c²

where a = 19, b = 8.2 c = y

plugin values:

19² + 8.2² = y²

y = $\sqrt{19^2 + 8.2^2}$

8 0

2 years ago

Read 2 more answers

What is (5 1/2 +2 3/4)-3 1/2

user100 [1]

Answer:

answer is 119/4

Step-by-step explanation:

51/2+23/4-3/2=102+23-6/4=119/4

5 0

3 years ago