Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​

Answer:

B. [tex]y=\pm\sqrt{x-4}[/tex]

Step-by-step explanation:

Swap the positions of the x and y variables then solve for y again.

[tex]y=x^2+4\\\\x=y^2+4\\\\x-4=y^2+4-4\\\\x-4=y^2\\\\\sqrt{x-4}=\sqrt{y^2}\\\\\pm\sqrt{x-4}=y[/tex]

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +10 (from -5 to 5)

y changes by +1 (from -4 to -3)

the slope is +1/+10 = 1/10

the equation looks now like

y = (1/10)x + b

let's use the first point.

-4 = (1/10)×-5 + b = -1/2 + b

-3 1/2 = -7/2 = b

the equation is

y = (1/10)x - 7/2

so, the second answer option is correct.

Answer:

12.78

Step-by-step explanation:

because i said so

I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.

Answer:

Isometry = 2: A transformation that preserves distance.

Image = 1: The result of a transformation on a point or figure.

Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.

Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.

Answer:

400

Step-by-step explanation:

98.46 = 100

8 is closer to 10 than 0

4.11 = 4

1 is closer to 0 than 10

100 x 4 = 400

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

Answer:

Step-by-step explanation:

2)f(x) = 2x² +4x - 3    

a = 2 ; b = 4 ; c = -3

1) Put x = -1 in the equation

f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5

Vertex = (-1,-5)

2) Upward

3) Minimum

4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1

x = -1

5) domain: all real numbers  (-∞ ,∞)

Range : y ≥ -5 ; [-5 , ∞)

3) f(x) = 3x² - 6x + 4

Vertex : (1,1)

Opening : upward

Minimum

Axis of symmetry: x = 1

Domain: all real numbers

Range: y ≥ 1 ; [1, ∞)

4)f(x) = -x² - 2x - 3

a) Vertex:  f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2

Vertex( -1,-2)

b) downward

c) Maximum

d) Axis of symmetry: x = 2/-2 = -1  

x = -1

e) Domain: all real numbers

Range: y ≤ -2 ; (-∞ , -2]

5)f(x) = 2(x -2)²

a) Vertex: (2, 0)

b) Opening: upward

c) Minimum

d) x = 2

e)Domain: all real numbers

Range: y ≥ 0 ; [0,∞)

Answer:

g = 30 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is

g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )

g = [tex]\sqrt{900}[/tex] = 30

Answer:

[tex]y = 5\, x + 6[/tex].

Step-by-step explanation:

The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)

In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].

Rewrite the given equation to obtain the slope-intercept equation of this line.

[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)

[tex]2\, y = 10\, x + 12[/tex].

[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)

Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].

Answer:

the coomon factor is 3xy³

by factoring we get

3xy³(4y-7xy²z+12)

Answer:

It is the Last answer D

Step-by-step explanation:

because 15/2 is equal to 7 1/2

the square room of 64 is 8

and 8.1444444 is less than 8 1/7

Answer:

She had $150 in the beginning before she bought the swimming items.

Step-by-step explanation:

You have the right numbers for the equation but you also times the money she had in total.

The equation is x-3(44)=18

44 is the total for one daughter and you times that by three to get for three duaghters.

Then you multiply -3 and 44 which is -132.

Which would be x-132=18

Now you would move -132 to the other side which would be +132 →x=18+132

x=150

Answer:

  P'(3, -12)

Step-by-step explanation:

Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:

  P' = 3P

  P' = 3(1, -4)

  P' = (3, -12)

Answer:

C

Brainlest

Step-by-step explanation:

Answer:

3 hundreds, 2 tens, 5 ones

Answer:3/8

Step-by-step explanation: 3/4 x 1/2 = 3/8

Answer:

76

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

.28 is less than .50 therfore it will be rounded down to 76

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

-------------------------

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

----------------------

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

------------------------

The equation is

y = 0.7 * 1.2^x

Answer:

I don't know how to give you an answer without the picture but I can tell you that the measure of angle 3 is 70 degrees, and the measure of angle 4 is 110 degrees.

Step-by-step explanation:

Sorry if this isn't much help.

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

15. 41.68 inches

16. 78.79°

Step-by-step explanation:

It's a little hard to explain in just text, but I'll try.

15 ================

This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.

[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]

x ≈ 41.68

16 ================

From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.

[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]

x ≈ 78.79°

Answer:

8. 124 degrees

9. 48 degrees

10. 55 degrees

11. 120 degrees

12. 50.5 degrees

13. 118.7 degrees

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

Answer:

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

Compare and solve for p:

I think it might be  (B) 7

Answer:

180 667 777 98827

Step-by-step

the graaph has three differnt lines that connet