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Shalnov [3]
3 years ago
8

If a line was drawn perpendicular to one whose equation is 4x+2y=11, then its slope would be which of

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0
I believe the answer would be the 3rd one
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Kyle has a mass of 54kg and is jogging at a velocity of 3 m/s. What is Kyle's kinetic energy? (Formula: KE = 1/2 mv^2
IgorC [24]

Answer: I am pretty sure it is 243 J

Explanation: Because I did the math but I don't know how to put the picture ans don't wanna type it xd

5 0
3 years ago
The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along line segment AB so
bekas [8.4K]

Answer:

(-1,5)

Step-by-step explanation:

When a line segment is divided in the ratio m:n, we use the section formula to determine the point P which divides the line segment:

The coordinates of x and y are:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

A(x_1,y_1)=(-7, 4)\\B(x_2,y_2)=(8, 9)\\AP:PB=m:n=2:3

The coordinates of P is:

(x,y)=\left(\dfrac{2*8+3*-7}{2+3}, \dfrac{2*9+3*4}{2+3}\right)\\=\left(\dfrac{-5}{5}, \dfrac{25}{5}\right)\\\\=(-1,5)

7 0
3 years ago
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

2x=6x-36 (Simplify)

2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

-4x=-36 (Simplify)

\frac{-4x}{-4}=\frac{-36}{-4} (Divide both sides of the equation by -4 to get rid of x's coefficient)

x=9 (Simplify)

Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

3 0
3 years ago
A friend of yours claims to be able to ride a bicycle 20 feet per second, is this a reasonable
sp2606 [1]

Answer:

No and yes

Step-by-step explanation:

If the bike is at a sudden hault (A FULL STOP) its physically impossible for the sudden speed of his weight and laws of inertia to pull him forwar that quick.

NOW - if the bike is already in motion and going downhill the gravitational down force will haul his speed at 45MPH and would make him reach the lenght of 66feet per second.

5 0
3 years ago
A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3
Elenna [48]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
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