!! Help please......

Please answer with clear instructions so that i can apply this to other questions

marishachu [46]

Answer:

1 and - 1

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope ( gradient ) )

y = x ← is in this form

with gradient m = 1

Parallel lines have equal gradients

Then the gradients of lines parallel to the given line is 1

Given a line with gradient m then the gradient of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{1}$ = - 1

Then the gradients of lines perpendicular to this line is - 1

4 0

2 years ago

In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write

zaharov [31]

Answer:

(a) $1 > -2$ or $-2 < 1$

(b) $2 > 1$ or $1 < 2$

Step-by-step explanation:

Given

$N = -2F$ --- North Dakota

$C = 1F$ --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

$C > N$ or $N < C$

Because

$1 > -2$ i.e. 1 is greater than -2

or

$-2 < 1$ i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

$N = -2F$

$C = 1F$

The absolute values are:

$|N| = |-2|$

$|N| =2$

$|C| = |1|$

$|C| = 1$

By comparison:

$|N| > |C|$ or $|C| < |N|$

Because

$2 > 1$ i.e. 2 is greater than 1

or

$1 < 2$ i.e. 1 is less than 2

4 0

2 years ago

Quaker oatmeal is a very popular breakfast cereal .If susan wrapped the entire container with out any overlapping paper what is

mylen [45]

Answer:

263.76

Step-by-step explanation:

To answer this question, we need to know the equation for surface area of a cylinder which can be given as Surface Area=2*pi* $R^{2}$ +2*pi*R*H, where R is the radius of the cylinder (also can be calculated as Diameter/2=6/2=3) and H is the height of the cylinder which is given as 11. Considering pi=3.14, the surface area of the cylinder can now be calculated as 2*3.14* $3^{2}$ +2*3.14*3*11=263.76.

3 0

2 years ago

Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.

Gennadij [26K]

Answer: The answer is Yes.

Step-by-step explanation: Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.

From second law of motion, we have

Weight = mass × acceleration due to gravity.

That is, W = m × 9.8 m/sec².

The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.

Thus, if Michael' mass is 8 kg, then his weight will be

W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.

Thus, his estimation is perfectly OK.

8 0

3 years ago

Which construction will determine a midpoint?

likoan [24]

perpendicular bisector

5 0

3 years ago

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