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Morgarella [4.7K]
1 year ago
9

Question 3(Multiple Choice Worth 2 points)

Mathematics
1 answer:
zysi [14]1 year ago
6 0

The solution to the equation are 5 or -1 after applying the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

x² - 4x² - 5 = 0

The above equation is a quadratic equation:

Using the quadratic formula:

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

Plug the values in the formula:

\rm  $x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}$

After solving:

x = 5 or -1

Thus, the solution to the equation is 5 or -1 after applying the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ1

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You are given this equation: 2(6x + 6)= 3(x – 4) + 5. What is the first step in solving for x? Why?
NARA [144]

Answer:

The first first in solving for x is do the distributive property to the left and right of the eqaution.  Distribute 2 with 6x and 6.  Distribute 3 with x and -4.

Step-by-step explanation:

PEMDAS states that you do things in the parenthesis first.

3 0
2 years ago
Given the equation -5x+2y=-10 what is the equation of the line perpendicular to the line?
meriva

Answer:

The equation of the perpendicular line would be y = -2/5x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-5x + 2y = -10

2y = 5x - 10

y = 5/2x - 5

This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

y = -2/5x - 1

4 0
3 years ago
An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
tatyana61 [14]

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

4 0
3 years ago
The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that
Damm [24]

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2

6 0
3 years ago
Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
Gre4nikov [31]

In this picture dots are clearly shown the frequency of the concert.

<h3>What is Frequency?</h3><h3>Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.</h3>

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

    2                              1

    3                              1

Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

Learn more about Frequency from:

brainly.com/question/5102661

#SPJ1

3 0
1 year ago
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