If a is a non-zero constant, determine the vertex of y = -3(x + a)^2 - 6

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

Answer:

[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Step-by-step explanation:

slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]

solve for b:

[tex]1 = \frac{1}{12}(-4) + b[/tex]

solve parenthesis:

[tex]1 = -\frac{1}{3}+b[/tex]

add [tex]\frac{1}{3}[/tex] to both sides:

[tex]b = \frac{4}{3}[/tex]

final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

Answer:

-15

Step-by-step explanation:

Step 1: Multiply 3 by both sides

3(2/3x)=3(-10)

Step 2: Simplify

2x=-30

Step 3: Divide both sides by 2

2x/2=-30/2

Step 4: Simplify

x=-15

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Step-by-step explanation:

−2(4y+1)=−8y−2

4y+1=4y+1

infinite solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

-2(4y+1)=−8y−2

=> -2(4y)-2(1)= -8y-2

=> -8y-2=-8y-2

=> Infinitely many solutions as x from both sides get cancelled

Answer:

see explanation

Step-by-step explanation:

- 6 would represent a $6 debt

- 6 would represent 6 feet below sea level

Answer:

teri maa ki chut me mera land madarchod sale gand marunga teri

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

Step-by-step explanation:

the answer is in the image above

9514 1404 393

Answer:

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

Answer:

-2.5x-.5

[tex]y=\frac{2}{3}x-1[/tex]

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

[tex]y=\frac{2}{3}x-1[/tex]

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

Answer: 87.

Step-by-step explanation:

Let x be the tens digit, then (x - 1) - unit digit.

x + x - 1 = 15

2x - 1 = 15

2x = 15 + 1

2x = 16

x = 16 ÷ 2

x = 8 - the tens digit.

8 - 1 = 7 - the units digit.

87 - the number.

Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test

Answer:

(x, y)

-2, 0

-1, -4

1, -6

2, -4

3, 0

Work:

x^2 - x - 6

(-3)^2 -(-3) - 6

9 + 3 - 6 = 9 - 3 = 6

Just substitute the x values, and solve for y

Answer:

Step-by-step explanation:

[tex]substitute x=-3\\ x^{2} -x-6=(-3)^{2} -(-3)-6=9+3-6=12-6=6[/tex]

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

16 hours 6 minutes

See the image above

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

Answer:

3/4 mile

Step-by-step explanation:

[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]

Answer:

10  or in coordinate form(0,10)

Step-by-step explanation:

The y intercept is where the line crosses the y axis

The graph crosses the y axis at 10

(0,10)

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

x is all real numbers.

Step-by-step explanation:

The domain is the possible values of x.

In this case, when y = 1.5, x can be any number. In other words, all real numbers.

Additionally, the domain can be represented as:

Df = {x: x <== all real numbers} or

Df = {x: x <== R}

Answer:

x = 4 - 5/2 y

Step-by-step explanation:

2x + 5y = 8.

Subtract 5x from each side

2x + 5y -5y = 8-5y

2x = 8 -5y

Divide each side by 2

2x/2 = (8-5y)/2

x = 4 - 5/2 y

Answer:

x=[tex]\frac{-5y}{2}[/tex]+4

Step-by-step explanation:

Hi there!

We're given the equation 2x+5y=8 and we want to solve it for x

as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side

here's the given equation

2x+5y=8

start by subtracting 5y from both sides

2x=-5y+8

divide both sides by 2

x=[tex]\frac{-5y}{2}[/tex]+4

Hope this helps!