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3 years ago

4. If 7a = 14, then 12a -

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

Step-by-step explanation:

the value of a is 2, therefore 7x2=14 and 12x2=24

Alisiya [41]3 years ago

4 0

Answer: a=2

Step-by-step explanation: Well when we look at 7a = 14 how did we get to 14? Well, 7 times 2 equals 14 correct? so, we know that the variable a must equal 2. We then need some answer for 12a = __. We will need to use what we learned from the first problem which was that a equaled 2. Therefore 12a = 24.

Hope this is what you were looking for! :)

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What is the general form of the equation of the given circle with center A

IceJOKER [234]

Your answer would be option C. x² + y² + 6x - 24y + 128 = 0.
This is because the formula for the equation of a circle is (x - [x coordinate])² + (y - [y coordinate])² = radius², so you have to substitute in the coordinates and the radius, and then expand and simplify. I have done this in paper as it is easier to write than type, but let me know if you would like me to explain any part of it.
I hope this helps!

6 0

3 years ago

Yesterday, Anna drank 2/6 of a gallon of milk. Then her sister drank some milk and now there is only 3/12 of the gallon left. Ho

Airida [17]

Answer:

5/12

Step-by-step explanation:

Change the denominator of 6 to 12.

2 x 2 = 4

6 x 2 = 12

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12/12 - 3/12 = 9/12

Find out how much the milk was drank after deducting how much Anna drank.

9/12 - 4/12 = 5/12

3 0

3 years ago

There are two consecutive even integers. The square of the larger one is three hundred eight more than the smaller one. Which of

DaniilM [7]

Answer:

e.) (x+1)2-308=x

Step-by-step explanation:

5 0

3 years ago

Circle 1 is centered at (5, 8) and has a radius of 8 centimeters. Circle 2 is centered at (1, −2) and has a radius of 4 centimet

Masja [62]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilation's) can be found that map one figure onto another.

In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle 1 is centered at (5,8) and has a radius of 8 centimeters

Circle 2 is centered at (1,-2) and has a radius of 4 centimeters

step 1

Move the center of the circle 1 onto the center of the circle 2

the transformation has the following rule

(x,y)--------> (x-4,y-10)

(5,8)------> (5-4,8-10)-----> (1,-2)

center circle 1 is now equal to center circle 2

The circles are now concentric (they have the same center)

step 2

A dilation is needed to decrease the size of circle 1 to coincide with circle 2

scale factor=radius circle 2/radius circle 1-----> 4/8----> 0.5

radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm

radius circle 1 is now equal to radius circle 2

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

6 0

3 years ago

The function A(b) relates the area of a trapezoid with a given height of 12 and

Flura [38]

Answer:

$B(a)=\frac{a}{6}-9$

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

$A(b)=12(\frac{b+9}{2})$

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

$A=6(b+9)$

Divide by 6 both sides

$\frac{A}{6}=b+9$

subtract 9 both sides

$\frac{A}{6}-9=b$

Rewrite

$b=\frac{A}{6}-9$

Convert to function notation

$B(a)=\frac{a}{6}-9$

5 0

3 years ago