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3 years ago

HELP PLEASE 18 POINTS

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Answer:

Step-by-step explanation:

line 1 m=y2-y1 / x2-x1 [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12

m= 1/4 slope of line 1

line2

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4 slope of line 2

line 3

m = -4 - (-7) / -3 - 6

m = 3 / -9

m = - 1/3 slope of line 3

lines 1 & 2 perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3 neither.. differet slopes and not reciprocals

lines 2 & 3 perpendicular b/c they are reciprocals with a sign change :)

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Two friends start at the same point. they walk in opposite directions for 3 meters, then turn left and walk another 3 meters. th

vladimir2022 [97]

3^2+3^2=18
√ 18 + √18=2√18 or 6√2 meters
They are 6√2 meters apart or approximately 8.49 meters.

3 0

3 years ago

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

What is the solution to the equation

Elis [28]

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

Combine like terms:

4x - 7 = 20 - 5x

Isolate Variable

-x = 13

-1(-x) = -1(13)

x = -13

8 0

3 years ago

Read 2 more answers

Please help, I I beg you please

Tatiana [17]

Answer:

The volume of the cube is $\mathit{\frac{27}{z^3x^{9}}}$ cu in.

Step-by-step explanation:

The Volume of a Cube

Let's have a cube of side length a. The volume of the cube is:

$V=a^3$

The cube of the image has a side length of

$\displaystyle a=\frac{3x^{-3}}{z}\ inches$

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

$\displaystyle a=\frac{3}{zx^{3}}\ inches$

Now find the volume:

$\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3$

Applying the exponents:

$\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3$

$\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3$

The volume of the cube is $\mathbf{\frac{27}{z^3x^{9}}}$ cu in.

8 0

3 years ago

twice the sum of a number and 2 is equal to three times the difference of the number and 8. Find the number.

Leto [7]

Answer: x = -22

Step-by-step explanation:

Look at picture!

4 0

3 years ago