10th grade geometry

Answer:

they are right

Step-by-step explanation:

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Here, We have,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

[tex]\sf{√(a - b - c)(b-c-d) }[/tex]

[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]

[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]

[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]

By solving LHS :-

[tex]\sf{√ab - √bc - √cd}[/tex]

[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]

[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]

[tex]\sf{dk²√k - dk√k - d√k}[/tex]

[tex]\sf{(dk² - dk - d)√k}[/tex]

[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]

From eq(1) and eq(2)

[tex]\bold{\red{ LHS = RHS }}[/tex]

That is,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Yes, the RHS and the LHS are equal/

Given:

[tex]a/b= b/c = c/d[/tex]

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

Read more about maths expressions here:

https://brainly.com/question/2164351

Answer:

A,B,and D is a linear equation

Answer:

B. 4x - y + 2.5 = 0

Step-by-step explanation:

Its linear as it doesn't have any square or division.

ignore - ², division, xy being together. if so option D, C, A cancels out.

Answer:

y=4x+1

for x=3

y=4(3)+1

y=12+1

y=13

for x=6

y=4(6)+1

y=24+1

y=25

for x=8

y=4(8)+1

y=32+1

y=33

for x=10

y=4x+1

y=4(10)+1

y=40+1

y=41

x y

3 13

6 25

8 33

10 41

please pick me brainliest.

I HOPE IT HELPED

The area of shaded region = area of triangle - area of circle = 33.73 sq. m.

Area of circle = πr²

Area of triangle = 1/2(base × height)

The area of the shaded region = area of triangle - area of circle

=  1/2(14 × 12) - π × 4²

Area of shaded region = 84 - 50.27

Area of shaded region = area of triangle - area of circle = 33.73 sq. m

Learn more about area of triangle on:

https://brainly.com/question/21735282

Answer:

Market (3, 8)

Park (2, 5)

Lily's house (4, 3)

School (7, 6)

Step-by-step explanation:

E2023

Answer:

see attached diagram

market = (3, 8)

Step-by-step explanation:

Park = (2, 5)

Find the number 2 on the x-axis, then count up 5 units

Park = (2, 5)

x-coordinate:  1 unit to the right = 2 + 1 = 3

y-coordinate: 3 units up = 5 + 3 = 8

Therefore, market = (3, 8)

Answer:

C-7.9

Step-by-step explanation:

Because the square root is actually 7.93

Answer:

C. 7.9

Step-by-step explanation:

Do the square root of 63.

[tex]\sqrt{63} = 7.93725[/tex]

Your answer isn't perfect, but it's asking for which number is the closest to the [tex]\sqrt{63}[/tex].

[tex]\sqrt{63}[/tex] ≈ [tex]7.9[/tex]

Answer:

B) 29 +4a

Step-by-step explanation:

for this question we need to expand the brackets. to do this you would times everything in the brackets separately by 4, 4 times a which is 4a and 4 times 5 which is 20.

this would creat a sum of 9+4a+20

now we can add together the like terms which in this case are 20 and 9 making the whole sum 29 +4a

this is how you expand the brackets.

deserving of a brainliest?

Answer: B) 29+4a

Step-by-step explanation:

Distribute the parentheses first as multiplication comes before addition:

9+4(a+5)

9+4a+20

Add 9 and 20:

29+4a

Answer: It's B, great job!

Step-by-step explanation: An acute angle measures less than 90 degrees. 60,65, and 55 are all under 90.

Answer:

350+150m=total money

11 months

Step-by-step explanation:

you just put in the number of months that have passed in for m and solve for total money.

After how many months will Paul have $2,000?

350+150m=2000

350-350+150m=2000-350

150m=1650

150m/150=1650/150

m=11

Answer:

none

Step-by-step explanation:

{ x=5-y

{ x=y=6

substitute the given value of x into the equation x+y=6

5-y+y=6

the equation for y

y∈⊘

Answer:

The answer is 0.33 <3

Step-by-step explanation:

i put this here so its easier to see that answer then the steps :)! Try gauth math, its a great app! Just take a picture of a question and a expert will give you the right answer, and explanation.

Have a blessed week! :)

Answer:

the answer for B M Y is 40

Step-by-step explanation

Part B answer to X M Y is 85

Answer:

y = -6x + 7

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

Given: a line with a slope of -6, and y-intercept of 7

Equation: y = -6x + 7

Randomly select x-values that will help you graph the equation:

when x = -2:

y = -6(-2) + 7 [multiply]

y = 12 + 7 [add]

y = 19

coordinate: (-2, 19)

when x = 1:

y = -6(1) + 7 [multiply]

y = -6 + 7 [add]

y = 1

coordinate: (1, 1)

when x = 2:

y = -6(2) + 7 [multiply]

y = -12 + 7 [add]

y = -5

coordinate: (2, -5)

These coordinates fall on the line for the linear equation. Graph them on a coordinate plane, and they should give you the line for the equation.

Answer:

  10.3 cm

Step-by-step explanation:

There are a few ways to do this.

Using the law of cosines, you have ...

  b² = a² +c² -2ac·cos(B)

  b² = 11² +11² -2(11)(11)·cos(56°) = 106.67

  b = √106.675 ≈ 10.3

  AC = 10.3 cm

__

Using trig functions. When you draw an altitude in this isosceles triangle from B to AC, it divides AC in half, and it divides angle B in half. The sine relation can help here:

  Sin = Opposite/Adjacent

  sin(56°/2) = (AC/2)/(11 cm)

  AC = (22 cm)sin(28°) ≈ 10.3 cm

__

Using a triangle solver, you can find the value of AC to be about 10.3 cm. Triangle solvers are available as apps and on the web. Your graphing calculator may have one. See attached for the results from a nice solver available on the web. Units are cm.

[tex]\tan 39 \textdegree = \displaystyle \frac{h}{89}\\\\89\tan 39 \textdegree = h\\\\h = 72[/tex]Answer:

72 m

Step-by-step explanation:

Hi there!

Using the given information, we can construct a diagram. Please see the attached image.

We need to solve for the height of the building, or the length of the side opposite the angle that measures 39°. Given the only other piece of information is the length of its adjacent side, which is 89 m, we can use the tangent ratio to solve for the height:

[tex]\tan \theta = \displaystyle \frac{opposite}{adjacent}[/tex]

Plug in the given values:

tan 39° = h/89

89 tan 39° = h

h = 72

Therefore, the height of the building is 72 m.

I hope this helps!

Answer: there are 64 buttons because 8*8=64

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

8x = 23 + 7y

Divide each side by '8'.

x = 2.875 + 0.875y

Simplifying

x = 2.875 + 0.875y

The height of the ramp is 49.45in

Data;

To solve this problem, we can use trigonometric ratio SOHCAHTOA

Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.

From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]

The height of the ramp is 49.45in

Learn more on trigonometric ratios here;

https://brainly.com/question/12172664

no it can not be simplified and

Answer: 60 degrees

Step-by-step explanation:

add 90 50 and 100

= 240

Total of all interior angles should be 360

So 360-240=120

Straight line: 180 degrees

180-120=60

Answer:

Number>2

Step-by-step explanation:

If number is 1 then 6×1=6

6×4=24

which is less than 50

If number is 2 then 6×2=12

12×4=48
which is less than 50

Answer:

Step-by-step explanation:

Given,

The figure is of a parallelogram

Height (h) of the parallelogram = 52 ft.

Since,

In a parallelogram opposite sides are equal so,

Corresponding base to the height of the parallelogram is = 67 ft.

Therefore,

Area of the given parallelogram

= base × height

= 67 ft. × 52 ft.

= 3484 [tex]ft^{2}[/tex]

Hence,

The required area of the parallelogram is 3484 [tex]ft^{2}[/tex] (Ans)

Answer:

2,-5,-12,-19,-26

Step-by-step explanation:

-7n +9

-7(1) +9 = 2

-7(2)+ 9= -5

-7(3)+9 = -12

-7(4)+9 = -19

-7(5)+9 = -26

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Step-by-step explanation:

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking

Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equation is y = 10x + 30.

Where y is Max's elevation in meters and x is the number of hours.

Max has been hiking.

From the equation, we can conclude.

Max is ascending at a rate of 10 meters per hour.

Max is at the height of 30 meters at the starting.

Thus, option A is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

(g+f)(-1)=2

Step-by-step explanation:

f(x)x²+1

g(x)=x+1

(g+f)(x)= x+1+x²+1

(g+f)(-1)=(-1)+1(-1)²+1

(g+f)(-1)=(-1)+1+(-1)²+1

(g+f)(-1)=2

Hope this helps u! :)