If x^a=y^b=z^c and y^2=zx ,show that :. 1 by a + 1 by c = 2 by b.​

Answer:

Step-by-step explanation:

The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.

[tex]10^2=8^2+x^2[/tex] and

[tex]100-64=x^2[/tex] and

[tex]x^2=36[/tex] so

x = 6. The width is 6.

Answer:

D: x = -18

Step-by-step explanation:

A good way to solve this it to input all options until you find the one that fits for both options.

Option A :

15 + 6 / 15 - 3 = 21 / 12 or 7/4

So this one doesn't work.

Option B :

10 + 6 / 10 - 3 = 16 / 7

So this one also doesn't work.

Option C:

3 + 6 / 3 - 3 = 9 / 0 which is 0 by the laws of dividing by zero.

This one also doesn't work leaving only one option.

Option D:

-18 + 6 / -18 - 3 = -12 / -21 or 4 / 7

And by solving we can find out we did our work correctly and get our answer.

Answer:

C

Step-by-step explanation:

YES

Using second equation of kinematics

[tex]\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2[/tex]

[tex]\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2[/tex]

[tex]\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a[/tex]

[tex]\\ \sf\longmapsto 50a=150[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{150}{50}[/tex]

[tex]\\ \sf\longmapsto a=3m/s^2[/tex]

Using newtons second law

[tex]\\ \sf\longmapsto F=ma[/tex]

[tex]\\ \sf\longmapsto F=1000(3)[/tex]

[tex]\\ \sf\longmapsto F=3000N[/tex]

Answer:

equation is y = 2-x

Step-by-step explanation:

x1 = -3

y1 = 5

x2 = 4

y2 = -2

now

m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1

so m = -1

now

y =mx + b

-2 = -1×4 + b

or, -2 = -4 +b

so, b = 2

now

y = mx+b

y = -1x + 2

or, y = 2-x

Answer:

0 is the answer . The explanation is in the attachment .

Answer:

slope = [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{6}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{6}{5}[/tex]

Answer:

6/5

Step-by-step explanation:

this equation is already in the slope intercept form, meaning the slope (gradient)is the coefficient of x( the number before x). in this case it's 6/5.

I hope this helps

Answer:

55774210778899900000

The number line that represents the solutions to Ix - 5| = 1 is the number line in the second option.

To solve absolute value equations like |x-5| = 1

We will write that

x - 5 = 1 and x -5 = -1

For the first equation

x - 5 = 1

Add 5 to both sides

x - 5 +5 = 1+5

∴ x = 6

For the second equation

x -5 = -1

Add 5 to both sides as well

x -5 +5 = -1 +5

∴ x = 4

Hence, x = 6 and x = 4

From the image, the second option is dotted (blue) at 4 and 6 on the number line.

Hence, the number line that represents the solutions to Ix - 5| = 1 is the number line in the second option

Learn more here: https://brainly.com/question/17269252

Answer:

20

Step-by-step explanation:

Use the Pythagorean theorem. a^2+b^2=c^2

12^2+16^2=c^2

144+256=c^2

400=c^2

20=c

Answer: 4. A base area of 16y^2 square units and height of y^2 + y + 3 units

Step-by-step explanation:

Using the distributive property; you can see that 16y^2(y^2+y+3)=

16y^4+16y^3+48y^2

Answer:

D. a base area of 16y2 square units and height of y^2 + y + 3 units

Step-by-step explanation:

Ed22

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Question \#1}[/tex]

[tex]\huge\textsf{3y - z}[/tex]

[tex]\huge\textsf{= 3(6) - 2}[/tex]

[tex]\huge\textsf{= 18 - 2}[/tex]

[tex]\huge\textsf{= 16}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Question \#2}[/tex]

[tex]\huge\textsf{y + 5z}[/tex]

[tex]\huge\textsf{= 6 + 5(2)}[/tex]

[tex]\huge\textsf{= 6 + 10}[/tex]

[tex]\huge\textsf{= 16}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]

[tex]\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)

please mark this answer as brainlist

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

secA=√2

secA=sec45

A=45°

3cos²45+5tan²45/ 4tan²A-sin²45

= 3(1/√3)²+5(1)² / 4(1)²-(1/√2)²

=3/2+5/4-1/2

=13/7

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Using the identities

cos x =[tex]\frac{1}{secx}[/tex] , sin²x = 1 - cos²x

tan²x = sec²x - 1

Given

[tex]\frac{3cos^2A+5tan^2A}{4tan^2A-sin^2A}[/tex]

= [tex]\frac{3(\frac{1}{sec^2A}+5(sec^2A-1) }{4(sec^2A -(1-cos^2A)}[/tex]

= [tex]\frac{3.(\frac{1}{\sqrt{2})^2 } +5((\sqrt{2})^2-1) }{4((\sqrt{2})^2-1)-(1-(\frac{1}{\sqrt{2} })^2 }[/tex]

= [tex]\frac{\frac{3}{2}+5(2-1) }{4(2-1)-(1-\frac{1}{2} )}[/tex]

= [tex]\frac{\frac{3}{2} +5}{4-\frac{1}{2} }[/tex]

= [tex]\frac{\frac{13}{2} }{\frac{7}{2} }[/tex]

= [tex]\frac{13}{2}[/tex] × [tex]\frac{2}{7}[/tex]

= [tex]\frac{13}{7}[/tex]

Answer:

see image

Step-by-step explanation:

56/64 = 7/8

7/8 x 120

105.

Answer:

x=21

Step-by-step explanation:

45=2x+3

Subtract 3 from both sides of the equation.

42=2x

Divide 2 from both sides of the equation.

21=x

Hope this helps!

Answer:

x=21°

Step-by-step explanation:

Angle A = Angle B

Angle A = 45°

2x+3 =45°

To work out what x is, you would have to do inverse operations.

45-3=42°

2x=42°

42÷2=21° (We divide by 2 because, in algebra, whenever a number is next to a letter, it means times, so then we have to do the opposite and divide).

So, x=21°

Hope this helps :)

Answer:

3

Step-by-step explanation:

As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:

-9-6x = x-30

7x=21

x=3

Answer:

The height of the tomato soup can is 2.6 in.

Step-by-step explanation:

"The can of chicken noodle soup has a height of 4 inches and a radius of 2 inches."

We can find the volume of this can.

V = pi r² h

V = 3.14 * (2 in.)² * (4 in.)

V = 50.24 in.³

"The can of tomato soup has the same volume, but a radius of 2.5 inches."

Now we know the volume of the can, so we can find the height, h.

V = pi r² h

50.24 in.³ = 3.14 * (2.5 in.)² * h

50.24 in.³ = 19.625 in.² * h

h = (50.24 in.³)/(19.625 in.²)

h = 2.56 in.

Answer: The height of the tomato soup can is 2.6 in.

Answer:

:Volume of can of chicken noodle soup=50.24inch^3

:Height of can of tomato soup=2.56inches

Step-by-step explanation:

CHICKEN NOODLE SOUP :height=4inches

:radius=2inches

[ V=πr2h]

V=(3.14×2×2×4)=50.14

Now, Volume is same of both the can.

Volume of can of tomato soup=50.24;radius=2.5inches;

Height of can of tomato soup,

50.24=(3.14×2.5×2.5×h)

50.24=19.625h

h=50.24/19.625

=2.56inches

Answer:

[tex]9a^3b^3[/tex]

Step-by-step explanation:

Answer:

804.2 km³

Step-by-step explanation:

Volume of a cylinder: πr²h

r = radius, h = height

[tex]\pi r^2h\\\pi(8)^2(4)\\\pi(64)(4)\\\pi(256)\\804.2[/tex]

Answer:

x=6

Step-by-step explanation:

side AB is proportional to side XY

side AC is proportional to side XZ

Since we know side AB and side XY are proportional to each other, if we divide side AB by side XY, we can find the size difference...

12 / 4 = 3

The smaller triangle is 3 times smaller than the bigger triangle so we can find side XZ by dividing side AC by 3...

18 / 3 = 6

x = 6

The measure of the length of x is 9 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "≈".

Given triangles ABC ≈ XYZ

for similar triangles, corresponding sides are proportionately equal and corresponding angles are congruent,

so AB/XY = AC/XZ = BC/YZ

substitute the values

12/4 = 18/x = 9/YZ

12/4 = 18/x

x= 9 units

Hence the value of x is 9 units.

Learn more about similar triangles;

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Answer:

The equation that represents this relation is [tex]y = 3x - 5[/tex].

The relation is a function.

If the domain of the relation is x > 2, the range of the relation is [tex]y >1[/tex]

Step-by-step explanation:

Given

Output = 3 * Input - 5

Required

Complete the gap

Solving (a):The equation for the relation.

Let

[tex]x \to[/tex] input

[tex]y \to[/tex] output

The relation is:

[tex]y = 3 * x - 5[/tex]

[tex]y = 3x - 5[/tex]

Solving (b): Is the relation, a function?

Yes; Because every value of x has a distinct value in 7

Solving (c): The range:

Domain: [tex]x > 2[/tex]

Substitute 2 for x in [tex]y = 3x - 5[/tex]

[tex]y =3 * 2 - 5[/tex]

[tex]y =6 - 5[/tex]

[tex]y =1[/tex]

The range is:

[tex]y >1[/tex]

Answer:

The equation that represents this relation is [ y= 3x - 5 ]

The relation [ is ] a function.

If the domain of the relation is x > 2, the range of the relation is y > [ 1 ].

Step-by-step explanation:

The output, y, of a relation, is the difference of three times the input, or 3x, and 5. So, y = 3x − 5.

Substituting any x-value from the domain into the equation will result in exactly one value of y, so the relation is a function.

To find the range of the relation, given the domain, substitute the boundary point of the domain into the function equation:

When x = 2, y = 3(2) − 5 = 6 − 5 = 1.

Because substituting values of x that are greater than 2 will result in values of y that are greater than 1, the range of the relation is y > 1.

Hope this helps !!

Answer:

1. 3 yards= 9 feet

2. 78 cups=5 gallons

3. 72 inches = 2 yards

4. 80 ounces = 5 pounds

5. 84 inches = 7 feet

6. 24 feet = 8 yards

7. 40 pints = 5 gallons

8. 16 cups = 5 quarts

9. 144 inches = 4 yard

10. 48 ounces = 3 pounds