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Lapatulllka [165]
3 years ago
13

Is m=10 and m=-10 is it parallel lines or perpendicular

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0

Neither, for lines to be parallel they have to have the same slope, and for lines to be perpendicular they have to be the negative reciprocal of the slope of the other line. In this case, the line perpendicular to the line with slope m=10 would be m=1/-10 or -1/10

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The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs.
statuscvo [17]
The answer
ellipse main equatin is as follow:

X²/ a²   +  Y²/ b²  =1, where a≠0 and b≠0

for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then  </span>x² /3²= cos² t and y²/8² =  sin² t
therefore,  x² /3²+ y²/8²  =  cos² t + sin² t = 1
equivalent to x² /3²+ y²/8²  = 1

for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8²  = cos² 4t + sin² 4t=1

7 0
3 years ago
Read 2 more answers
Which representation of a transformation on a coordinate grid does not preserve congruence?
Alex17521 [72]

Answer:

B

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

(x,y)\rightarrow (x,-y)

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)

is a dilation with a scale factor of \frac{7}{8} over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

(x,y)\rightarrow (x+6,y-4)

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

(x,y)\rightarrow (y,-x)

is a clockwise rotation by 90^{\circ} angle over the origin.

Clockwise rotation by 90^{\circ} angle over the origin preserves the congruence.

3 0
3 years ago
Will mark brainliest
Cerrena [4.2K]

Answer:

see explanation

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x - h) then

f(h) is the remainder, thus

division by (x - 1) then h = 1

f(1) = 4(1)³ - 7(1)² - 2(1) + 6

     = 4 - 7 - 2 + 6 = 1 ← remainder

The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0

Here f(1) = 1

Hence (x - 1) is not a factor of f(x)

8 0
3 years ago
Which number is divisible by both 3 and 9?
poizon [28]

Answer:

OC

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please please please help me!
OleMash [197]

Answer:

<76

Step-by-step explanation:

Remark

You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.

Properties

<ABG = x                       Given

<ABG = <BGF               Alternate interior angles are equal.

<BGF = x                       Substitute

x + 2x - 9 = 180             Consecutive angles in a ||gram equal 180 degrees.

3x - 9 = 180                    Add 9 to both sides

3x - 9 +9 = 180 +9

3x = 189                         Divide by 3

x = 63

<DHG = 2x - 50            Given

<DHG = 2*63 - 50         Substitute for x

<DHG = 76

<IDC  = 76

<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.

6 0
3 years ago
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