What is the slope of the line whose equation is 2x−4y=10 ?

Which of the following theorems cannot be used to prove two lines are<br> parallel?

mariarad [96]

Answer:

Option H

Step-by-step explanation:

Option F

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

True.

Option G

If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.

True

Option H

If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.

Since, vertical angles don't prove the lines cut by a transversal are parallel.

So the statement is False.

Option J

If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.

True.

6 0

3 years ago

I need help ASAP!!!!

mrs_skeptik [129]

Answer:

Step-by-step explanation:

the shape is made up of 2 circles and one box add the 3 areas up

circle area = $\pi$ $r^{2}$

3.14* $4^{2}$ = 50.24

50.24*2 =100.48

box, box, pit now :P ooh I was thinking formula one racing, ( i've been watching that lately) anyway

box = 8*8 = 64

total = 164.48 is that an option? hmm, yes the bottom two choices.. now the perimeter . the perimeter is made up of the 2 circles

the circumference of a circle is 2 $\pi$ r

2* $\pi$ *r

2* $\pi$ *4 =25.1327 that's one whole circle , multiplied by 2 , I can see , by math in my head that's about 50.26

sooo

the 3rd choice looks good :)

5 0

3 years ago

If the federal reserve sells 70,000 in treasury bonds to a bank at 9% interest, what is the immediate effect on the money supply

taurus [48]

D , - if the Fed sells bonds, it decreases the money supply by removing cash from the economy in exchange for bonds.
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5 0

3 years ago

Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv

Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = $\dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}$

Let dD/dT = 0 to find the critical value we will get

$\dfrac{70000000\left(291T^2-24298T+91800\right)}$ = 0

Using formula of quadratic, we get the roots:

T = 79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

$-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}$

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0

3 years ago

If you answer correctly I will give you brainlest GOES TO THE FIRST PERSON WHO ANSWERS CORRECTLY!

Bogdan [553]

Answer:

A) slope is -12

B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210

Step-by-step explanation:

6 0

3 years ago