if you know RS=St and

Answer:

x=3

Step-by-step explanation:

1/4(12x + 4) - 14= -1/2(8x - 16)

1. Simplify each side my multiplying

3x - 13 = -4x + 8

2. Add 13 on each side

3x = -4x + 21

3. Add 4x  on each side

7x = 21

x=3

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

Answer:116

Step-by-step explanation:

By definition, a rhombus will have equal opposite angles.

Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.

Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64

Now that we have found out c is 64, we plug it into the angle 2c-12 to get

2*64-12=116.

So again by definition, angle J will be 116 degrees since its an opposite angle.

=============================================

Work Shown:

Let's call the "height" to be the "width".

The area of a rectangle is

area = length*width

We're told the width is 8.5 feet

If the length is some unknown variable L, then

area = length*width

area = L*8.5

area = 8.5L

We want the area to be at least 76.5 square feet

This means 8.5L is either equal to 76.5, or larger than it

[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]

This shows the length can be 9 feet or larger.

In other words, the minimum length is 9 feet.

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

Answer:

[tex]y=\frac{5}{8}x-5[/tex]

Step-by-step explanation:

You're given two points, using that you can use the slope-finding formula:

[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]

After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:

[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]

5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.

[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]

You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!

Hope that helped!

-Bob Ross

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Answer:

33.5

Step-by-step explanation:

40 % of 33.5 is 13.4

33.5/x  = 40/100

13.4

Answer:

33.5

Step-by-step explanation:

Answer:

[tex]8^{2} +U^{2} =17^{2}[/tex]

solve the squared numbers

[tex]8^{2} =64[/tex]

[tex]17^{2} =225[/tex]

[tex]64+U^{2} =225[/tex]

subtract 64 from 289

[tex]U^{2} =225[/tex]

square root 225

[tex]U=[/tex][tex]\sqrt{225}[/tex]

simplify that

[tex]U=[/tex][tex]\sqrt{15^2}[/tex]

[tex]U= 15[/tex]

Answer:

6 is answer

Step-by-step explanation:

x+3=9

or, x=9-3(because we have to change sign)

therefore, x=6ans//

Answer:

= x+3=9

= x=9_3=6

= x=6

Step-by-step explanation:

ANSWER

VALUE OF X =6

Answer:

whats that.............

Answer:

When x = -3  y = -1

When x = -3/4  y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5​

Set each equation equal to each other

4x^2 + 17x + 14  = 2x + 5​

Subtract 2x from each side

4x^2 + 17x-2x + 14  = 2x-2x + 5​

4x^2 + 15x + 14  =  5​

Subtract 5 from each side

4x^2 + 15x + 14-5  =  5​-5

4x^2 + 15x +9  = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0    x+3 =0

4x = -3      x=-3

x = -3/4     x=-3

Now we need to find y for each x

x =-3   y = 2x+5  =2(-3)+5 = -6+5 = -1  

When x = -3  y = -1

x = -3/4   y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4  y = 7/2

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Answer:

Step-by-step explanation:

d

Answer: x = 60/11

Step-by-step explanation:

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Multiply the 1/2 with -10x, and -10.

Let's look on the side that we are working on now.

New equation:

- 1 + 4 (6x + 3) = -5x - 5 - 5

-5-5= -10

-1+4(6x+3)=-10-5x

Next we remove the brackets.

-1 + 4 * 6x + 3 = -10x -5

Now we bring the x's on one side and the non-x's on the other. When we bring a positive x on the other side of an equal sign, it becomes negative. If we bring a negative x on the other side of an equal sign, it becomes positive.

10x * 6x = 1 - 4 - 3 - 5

60x = 1 - 12

60x = -11

x = 60/11

* I had to do this all on paper *

Answer:

3n + 3

Step-by-step explanation:

Mia is correct

When n= 1 ,  3n + 3 = 3*1 + 3 = 3 + 3 = 6

When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9

When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12

When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15

Answer:

the first is an expression with a variable x, it describes a parabola,  while the second is an equation involving a variable x and x can only have specific values that satisfy the equation.

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!

Answer:

1. yes

2. no

3. yes

4. yes

5. yes

Step-by-step explanation:

All triangles have 3 angle measurements that add up to 180

I did these all mentally so do double check :)

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

Parallel lines have the same slope as the original but different y-intercepts.

m = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

Answer:

A.380160 B. 240

Step-by-step explanation:

1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.

Answer:

222

Step-by-step explanation:

Answer:

500 figures.

Step-by-step explanation:

We know that 185 figures is 37% of her entire collection.

Let c represent the total amount of figures.

Since 185 is 37% or 0.37 of her total collection, we can write the equation:

[tex]0.37c=185[/tex]

Remember that the keyword of tells us it's multiplication.

Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

[tex]c=\frac{185}{0.37}[/tex]

Evaluate. Use a calculator. So:

[tex]c=500[/tex]

Sofia's total collection has 500 figures.

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

1+2 = 3

3x2 = 6

6divdedby6= 0

Answer:

5 Minutes

Step-by-step explanation:

If you divide 300 by 60 you get 5.

Answer: 5 MINUTES

Step-by-step explanation:

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7