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Sonbull [250]
3 years ago
6

Slope =6 passing through (-6,7)

Mathematics
1 answer:
damaskus [11]3 years ago
5 0

Answer:

Equation  ;   y = 6x +29  

Step-by-step explanation:

slope(m)= 6

passing through (-6,7) = (x₁ ,y₁)

Now,

y-y₁ = m (x - x₁)

y-7 = 6(x- (-6) )

y-7 = 6x +36

y= 6x +29

which is the required eqn

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What is the volume of the trapezoidal right prism?
mylen [45]
The volume of the prism in the form of a trapezoid is given by:
 V = Ab * h
 Where,
 Ab: base area
 h: height
 We have then:
 Ab = (1/2) * (40 + 7) * (6)
 Ab = 141 m ^ 2
 Then, replacing we have:
 V = (141) * (3)
 V = 423 m ^ 3
 Answer:
 
The prism volume is given by:
 
V = 423 m ^ 3
6 0
3 years ago
Read 2 more answers
The function f(t) = 4t2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
gregori [183]

Answer:

The correct option is 3.

Step-by-step explanation:

The vertex form of a parabola is

f(x)=a(x-h)^2+k            .... (1)

where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.

The given function is

f(x)=4t^2-8t+6

It can be written as

f(x)=4(t^2-2t)+6

If an expression is defined as x^2+bx, then we need to add (\frac{b}{2})^2 to make it perfect square.

In the expression t^2-2t the value of b is -2. So, we nned to add and subtract (\frac{-2}{2})^2 in the parenthesis.

f(x)=4(t^2-2t+1^2-1^2)+6

f(x)=4(t^2-2t+1)+4(-1)+6

f(x)=4(t-1)^2-4+6

f(x)=4(t-1)^2+2                .... (2)

The vertex form of the parabola is f(x)=4(t-1)^2+2.

From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the  minimum height of the roller coaster is 2 meters from the ground.

Therefore the correct option is 3.

4 0
3 years ago
Science
lora16 [44]

Answer:

A. wind blowing from the south

D. Low air pressure

C. High humidity

Step-by-step explanation:

High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.

4 0
4 years ago
#2
I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

5 0
4 years ago
Right answer will get a brainlist.
AlexFokin [52]

Answer:

blooooooop

Step-by-step explanation:

6 left and 5 up

3 0
3 years ago
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