please help me!! 8th grade math, Pythagorean Theorem

Answer:

x= 4 and y=1

Step-by-step explanation:

to solve this you could either use substitution or elimination. elimination would be best her because both 'x's have the same number. subtract the equations from eahh other and solve for y, then substitute the y and solve for x

The system of equations are solved and x = -4 and y = 1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve the system of equations:

5x + y = -19 (Equation 1)

5x - 4y = -24 (Equation 2)

Let's use the elimination method in this case.

Step 1: Multiply Equation 1 by 4 and Equation 2 by 1 to eliminate y.

4(5x + y) = 4(-19)

5x - 4y = -24

20x + 4y = -76 (Equation 1 multiplied by 4)

5x - 4y = -24 (Equation 2 multiplied by 1)

Step 2: Add the equations together to eliminate y.

20x + 4y + 5x - 4y = -76 - 24

25x = -100

x = -100 / 25

x = -4

Step 3: Substitute the value of x into either Equation 1 or Equation 2 to solve for y.

5(-4) + y = -19 (Using Equation 1)

-20 + y = -19

y = -19 + 20

y = 1

Hence , the solution to the system of equations is x = -4 and y = 1

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Answer:

35 - 4x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

35−4x=3

35+−4x=3

−4x+35=3

Step 2: Subtract 35 from both sides.

−4x+35−35=3−35

−4x=−32

Step 3: Divide both sides by -4.

-4x/−4  =  −32/ −4

x=8

Answer:

8 friends

Step-by-step explanation:

4 doesn't go evenly to 9 ppl so it would be 8 friends and 3 extra pieces

Answer:

if you use the 10 feet ladder base is 6 feet

if you use 12 feet ladder base is 8.94 feet

if you use 15 feet ladder base is 12.69 feet

Step-by-step explanation:

you know the ladder length so you know the hypotenuse

you can use a^2 + b^2= c^2

for example you use the 10 feet ladder

8^2+b^2 = 10^2

64 + b^2 = 100

subtract 64 from both sides

b^2=36

to get rid of the exponent find square root

b= 6

you can plug in the different values like 15 or 12

Answer:

[tex]y = \frac{8}{3} x-5[/tex]

Step-by-step explanation:

Answer:

=225

Step-by-step explanation:

The value of x² - 2xy + y² would be; 225

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

we are given that (x-y)=15

The identity (x + y)² - (x - y)² = 4xy.

(x + y)²= (x² + 2xy + y²)

we have been asked to find x² - 2xy + y²

x² - 2xy + y² = (x - y)²

x² - 2xy + y² = 15²

x² - 2xy + y² = 225

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Answer:

2392in^2

Step-by-step explanation:

Given data

Dimension

Height 22 inches

Lenght= 20inches

Width= 18inches

The expression for the total surface area is

TSA=2(lw + lh + wh)

Substitute

TSA=2(20*18+20*22+18*22)

TSA=2(360+440+396)

TSA=2*1196

TSA=2392 in^2

Hence the total surface area is 2392in^2

Answer:

[tex]\boxed {\boxed {\sf v= 2463.0 \ yd^3}}[/tex]

Step-by-step explanation:

The volume of a cylinder is found using the following formula:

[tex]v= \pi r^2h[/tex]

The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.

[tex]v= \pi* (7 \ yd)^2 * 16 \ yd[/tex]

Solve the exponent.

[tex]v= \pi * 49 \ yd^2 *16 \ yd[/tex]

Multiply the three numbers together.

[tex]v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3[/tex]

Round to the nearest tenth.

The 0 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]v= 2463.0 \ yd^3[/tex]

The volume of the cylinder is 2463.0 cubic yards.

Answer:

248

Step-by-step explanation:

Divide 62 by 2 to get 31. Each distance on the map should be multiplied by this number. So if it's 8 on the map, its 8 x 31 in real life. 8 x 31 = 248

Answer:

25%

Step-by-step explanation:

125 - 100 = 25

25 / 100 = 0.25

0.25 * 100 = 25%

Answer:

There is a 92°F difference between the two cities.

Step-by-step explanation:

Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer

Answer:

C, $60

Step-by-step explanation:

It is where the graph starts even with 0 minutes.

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

I need a picture of the problem to be able to solve it.

Step-by-step explanation:

Answer:

(B) $152.50

Step-by-step explanation:

Friday: 5 hours x $7.50 per hour = $37.50

Saturday: 6 hours x $7.50 per hour = $45

Sunday: 4 hours x $7.50 per hour = $30

$40 + $37.50 + $45 + $30 = $152.50

I would have (B) $152.50 in total.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

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

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

Answer:0

Step-by-step explanation:

-1

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Answer:

Why is the number so big

Step-by-step explanation:

Answer:

2/5

1/2

3/20

3/4

Step-by-step explanation:

got it from Khan academy :)

Step-by-step explanation:

Let the remaining angle be z.

45+z=90

z=90-45

z=45

y=9(isoceles triangle)

Then,

By pythagoras theorem,

x=9root2

Answer:

Go on your app store on your phone

Step-by-step explanation:

Download photo math and it will answer all that, check my previous answers if you don't believe me. I'm telling the truth

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The tower is about 50.1 meters tall. The guidebook is correct.

__

The distance from the base of the tower to the angle vertex is ...

  d1 = h/tan(46°)

  d2 = d1 +50 = h/tan(27°)

Then the height of the tower is ...

  h/tan(46°) +50 = h/tan(27°)

  50 = h(cot(27°) - cot(46°))

  h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692

  h ≈ 50.1544 . . . meters

The tower is more than 50 meters high.

Answer:

15 feet squared

Step-by-step explanation:

Area = 6 x 5 x 1/2

Area = 30 x 1/2

Area = 15

Hope that helps!

Answer:

C: monomial

Step-by-step explanation:

 You need to classify the polynomial. But before we start, let's recall the basic classifications of polynomials:

Monomials

Binomials

Trinomials

Polynomials

What are monomials?

 - expressions with only one term

What are binomials?

 - expressions with two terms

What are trinomials?

- expressions with three terms

What are polynomials?

- expressions with four or more terms

30x is an expression with only one term, so it's a monomial.

∴ letter C: monomial

Answer:

0.03

Step-by-step explanation:

!