Need help pls Need it

Which of the following is equivalent to 0 equals 3 x squared minus 12 x minus 15 when completing the square?

skad [1K]

Answer:

x = 5, -1

Step-by-step explanation:

0 = 3x^2 - 12x - 15 or

3x^2 - 12x - 15 = 0

By solving for x, use the Quadratic Formula.

… x = 5 and/or -1

8 0

2 years ago

Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A

Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = $\frac{y2 - y1}{x2 - x1}$

Substitute the values for both B and C coordinates, we have

Slope = $\frac{2- 5}{1 - 4}$

Find the difference for both the numerator and denominator

Slope = $\frac{-3}{-3}$

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

brainly.com/question/4074386

#SPJ1

4 0

1 year ago

Find the nth term of a gp with (a. find term = 5, common ratio = 2

Rina8888 [55]

Step-by-step explanation:

we know,

$tn= a {(r)}^{n - 1} \\ T5 = a {(2)}^{5 - 1} \\ t5 = a \times {2}^{4} \\ = 16a$

Therefore, nth term of a given gp is

16a

7 0

2 years ago

10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.

Ostrovityanka [42]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

10 -9x -5 = 9x -9x +2

x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

x -5 +5 = 2 +5

x = 7 . . . . simplify

The solution is x = 7.

_____

<em>Additional comment</em>

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0

2 years ago

The composite shape is made up of two different rectangles and two different triangles. What is the area of the composite shape

Rus_ich [418]

Answer:

43 unit²

Step-by-step explanation:

Sorry for the bad handwriting ;-;

7 0

2 years ago