4(1+ 2y) = 12y. Solve for y.​

Answer:

y = 1/2x - 14

Step-by-step explanation:

Parallel lines have the same gradient

So,

gradient for second line = gradient of the first line = 1/2

Also,

the line passes through (-6,-17)

So, we can find the y-intercept by substitution

y = mx + c

-17 = (1/2 * -6) + c

-17 = -3 + c

c = -14

So,

the equation is y = 1/2x - 14

Step-by-step explanation:

the answer is in the above image

Answer:

397

Step-by-step explanation:

Have a nice day

Answer:

151 in^3

Step-by-step explanation:

The rocket consists of two shapes - a cone and a cylinder

the volume of the plastic = volume of cone + volume of cylinder

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7  

r = radius

the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5

Height of cone = 11 - 6 = 5

Volume of plastic = (22/7) x (2/5^2) x 6  + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151

Answer:

the added degree of m1 and m2 equal m4

Answer:

Step-by-step explanation:

take 74 degree as reference angle

using cos rule

cos 74 =adjacent/hypotenuse

0.275=x/12

12*0.275=x

3.3=x

take 36 degree as reference angle

using sin rule

sin 36=opposite/hypotenuse

0.587=x/11

0.587*11=x

6.457=x

6.5=x

take 39 degree as reference angle

using tan rule

tan 39=opposite/adjacent

0.809=13/x

x=13/0.809

x=16.06

x=16.1

take 16 degree as reference angle

using tan rule

tan 16=opposite /adjacent

0.286=x/14

0.286*14=x

4.00=x

4.0=x

x=

Answer:

angle 3 is 87 degree

Step-by-step explanation:

-7x+191=-5x+163(they are alternte interior angle)

-7x+5x=163-191

-2x=-28

x=-28/-2

x=14

substitute the value of x in -5x+163

-5*14+163

-70+163

93

Now,

angle 3 + (-5x+163) = 180 degree (they are cointerior angles)

angle 3 + 93 = 180

angle 3 = 180-93

angle 3 = 87 degree

Answer:

-2 < x < ఔ

Step-by-step explanation:

F’x = 3x^2 + 18x + 24

F’x = 3(x^2 +6x +8)

F’x = 3(x+4)(x+2)

One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive

Insta: lankey.t

Answer:

Mary Lou is 14

George is 7

Kate is 6

Step-by-step explanation:

let G = George's age

let 2G = Mary Lou's age

let G-1 = Kate's age

G + 2G + G-1 = 27

4G = 28

G = 7

2G = 14

G-1 = 6

Answer:

10x+3y=29

Step-by-step explanation:

Given points:(x1,y1)=(2,3)

                     (x2,y2)=(5,-7)

We know, the equation of line passing through two points is given by,

   y-y1={(y2-y1)/(x2-x1)}*(x-x1)

Hence,y-3={(-7-3)/(5-2)}*(x-2)

       or,y-3=(-10/3)*(x-2)

       or,3y-9= -10x+20

        or,3y+10x=20+9

        or,10x+3y=29 is the required equation.

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Answer:

18

√18

=3√2(Decimal: 4.242641)

3

Hope this helps! :)

______________

Answer:

The verticle angles are AB and ED

Step-by-step explanation:

Answer:

122 and 58

Step-by-step explanation:

Answer:

8/5

Step-by-step explanation:

7 3/10-5 7/10=8/5

Answer:

Step-by-step explanation:

3,-3

Answer:

you divide all the numbers so the triangle will be at -2.5x, 1x and 2y  and the rectangle is multiplied by 2 so 5x and 4y  

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Hope this helps

Have a great day

Answer:

m<8 = 46°

Step-by-step explanation:

m<2 = m7 (alternate exterior angles are congruent)

Substitute

3x + 53 = 7x - 55

Collect like terms

3x - 7x = -53 - 55

-4x = -108

Divide both sides by -4

-4x/-4 = -108/-4

x = 27

m<8 + m<7 = 180° (linear pair angles)

Substitute

m<8 + 7x - 55 = 180°

Plug in the value of x

m<8 + 7(27) - 55 = 180

m<8 + 189 - 55 = 180

m<8 + 134 = 180

Subtract 134 from each side

m<8 = 180 - 134

m<8 = 46°

Answer:

Step-by-step explanation:

I'm going to  assume you meant y = ab^x. If this is not correct, leave a comment.

x = 0

y = 7

7 = a * b^0

anything to the zero power is 1

y = a*b^0

y = a*1

7 = a

So far what you have is

y = 7 * b^x

Now let

x = 9

y = 3584  

3584 = 7 * b^9         Divide by 7

3584/7 = b^9

512 = b^9

If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.

So the easiest way is to find out what raised to the 9th power will equal 512

Could b = 5?

5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512

So let's try b = 3

3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.

We have just one more number that we can try.

2^9 = 512 and we have it

Answer y = 7*2^x

Answer:

y = -1/3x + 7/3

Step-by-step explanation:

A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.

Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.

3 = -1/3 (-2) + b

9/3 = 2/3 + b

7/3 = b

Now we can create a line in slope intercept form: y = -1/3x + 7/3

Here is Standard Form if needed: x + 3y = 7

Answer:

If we are solving x + 5< 6 the inequality is x< 1

Step-by-step explanation:

If helps mark as brainllest please!!!

Answer:

the sum of (2x^2-8x) and (-x^2-2x )

=2x^2-x^2-8x-2x=x^2-10x

x ² - 10 x

Step-by-step explanation:

( 2 x ² - 8 x ) + ( - x² - 2 x )

2 x ² - 8 x - x ² - 2 x

2 x² - x ² - 8 x - 2 x ..(combine like terms)

x ² - 10 x

Given:

Initial value = 400

Interest rate = 5% compounded quarterly.

To find:

The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.

The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.

Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get

[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]

[tex]A=400\left(1+0.0125\right)^{4t}[/tex]

[tex]A=400\left(1.0125\right)^{4t}[/tex]

The required function notation is:

[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]

Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].

Answer:

1 :)

Step-by-step explanation:

Answer:

Cost of bracelet = $1 and 35 cents

Step-by-step explanation:

Price before tax = $ 1.29

Tax Price = 5% of 1.29

              [tex]=\frac{5}{100} \times 1.29\\\\= 6.45 \times \frac{1}{100} \\\\= 0.0645[/tex]

Therefore price after tax = 1.29 + 0.06245 = 1.3545

Ans : cost of bracelet = $1 and 35 cents