Need help doing this

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

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The key takeaway from the last section is that

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides  of the squares is 17 cm. This means that the squares are a square of 17cm in length.

If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.

Applying area of a rectangle formula

to learn more about area of  shaded regions, see here https://brainly.com/question/10090807

Answer:

the aswer is B

Step-by-step explanation:

Answer:

[tex]y=(x+3)(x+1)[/tex]

Step-by-step explanation:

[tex]y=x^2+4x+3[/tex] <-- Given

[tex]y=x^2+x+3x+3[/tex] <-- Expand middle term

[tex]y=x(x+1)+3(x+1)[/tex] <-- Factor into two parts

[tex]y=(x+3)(x+1)[/tex] <-- Combine like terms

Answer:

It is better to buy the 10-ounce box for $1.95

Step-by-step explanation:

1.) Set up a ratio to represent this problem.

Ounces : Price

10 : 1.95

14 : 2.81

2.) Find the unit price for the first ratio.

10 : 1.95

/10  /10

1 : 0.195

This means that a one-ounce box of cereal will cost $0.12

3.) Find the unit price for the second ratio.

14 : 2.81

/14  /14

1 : 0.20071428571

This means that a one-ounce box of cereal will cost $0.20

4.) Compare prices

$0.12 < $0.20

Therefore, it is better to buy the 10-ounce box for $1.95.

Answer:

960

Step-by-step explanation:

(10 + 2) = 12

"10 times 8 times 12 times 1"

what does 10 times 8 times 12 times 1 mean

10  *   8   *  12  * 1 = (10)(8)(12)(1)

                            =   (80) * 12

                            =   960

Answer:

I have helped you on the other question you asked. It's the same question.

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

Answer:3.55

Step-by-step explanation:

you add the time dude

Answer:

48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah

Step-by-step explanation:

The value of y in the coordinates of point W is 3

The points are given as:

[tex]S = (-5,0)[/tex]

[tex]T = (5,2)[/tex]

[tex]V = (0,-2)[/tex]

[tex]W = (-1,y)[/tex]

Start by calculating the slope of line ST

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m=\frac{2- 0}{5--5}[/tex]

[tex]m=\frac{2}{10}[/tex]

[tex]m=\frac{1}{5}[/tex]

Next, calculate the slope of line VW

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{y --2}{-1-0}[/tex]

[tex]m = \frac{y +2}{-1}[/tex]

[tex]m = -y -2[/tex]

Since both lines are perpendicular, then the product of the slopes is -1.

So, we have:

[tex]\frac 15 \times (-y -2) = -1[/tex]

Divide both sides by -5

[tex]y +2 = 5[/tex]

Subtract 2 from both sides

[tex]y = 3[/tex]

Hence, the value of y in the coordinates of point W is 3

Read more about line coordinates at:

https://brainly.com/question/2037439

Answer:

W=3

Step-by-step explanation:

Step-by-step explanation:

there is a right-angled triangle.

its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).

so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :

c² = a² + b²

line² = 396² + 332² = 156816 + 110224 = 267040

line = sqrt(267040) = 516.7591315... m

and we know 1 angle : the 90° angle between the legs.

the other angles we can now get by using the law of the sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the angles are opposite of the lines.

the line of sight is opposite of the 90° angle.

and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.

so, we have

516.7591315.../sin(90) = 396/sin(angle)

as sin(90) = 1

516.7591315... = 396/sin(angle)

sin(angle) = 396 / 516.7591315... = 0.76631447...

angle = 50.02407526...°

Answer:

Area = (Length * (a + a * (sin(Angle γ) / sin(Angle γ + Angle β)) + a * (sin(Angle β) / sin(Angle γ+Angle β)))) + a * ((a * sin(Angle γ)) / sin(Angle γ + Angle β)) * sin(Angle β)

Answer:

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Step-by-step explanation:

[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]

Answer:

10√2 mm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:c

Step-by-step explanation:

Answer:

If TD = SG and MD = SL, then angle D would have to equal angle S in order to prove the triangles congruent by SAS.

Step-by-step explanation: C

Answer:

y = 3x + 16

Step-by-step explanation:

If it is parallel to y = 3x + 8, then it has the same slope of 3.

y = 3x + b. Substitute the x and y values into the equation to solve for b.

7 = 3(-3) + b

7 = -9 + b

16 = b

y = 3x + 16

Answer:

(222 - 6) + 12

Step-by-step explanation:

You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

Answer:

12.80 divided by 8 = 1.60

1.60 x 32 = 51.20

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²