In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: use
the Pythagorean theorem to solve for the diagonal) *

Question seems incomplete but we would make assumptions in order to answer and explain

Answer and explanation:

If we wish to model this situation in the form of a fraction: there is one container containing 30 cans of fruit juice and 2 people want fruit juice, we would be finding how many fruit juice each person would get from the container.

Given one container= 30 cans of fruit juice

Number of persons that require fruit juice = 2

Therefore fraction of fruit juice in relation to required fruit juice= 30/2

Answer:

45 degrees

Step-by-step explanation:

A straight angle is equal to 180, so subtract 135 from 180

Answer:

45

Step-by-step explanation:

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

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. LHS = RHS is a common mathematical formula.

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:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

Learn more about equation here:

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Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

[tex] \frac{3}{6} [/tex]

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

Answer:

Solution

=(1+0.25)×4

=1.25×4

=5

since 3^0=1

Answer:

1. 3

2. 4

3. 2

4. 1

5. 1

7. 3

8. 10?

thats all i know because thats my answers hope it helps

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

Step-by-step explanation:

the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .

hint : volume : h×l×w ( height times length times width)

so the cubiod is 12 times 29 times 12 =

you work out the answer for that .

the triangular prism you try working out the volume.

Answer:

Let the ten's digit no. be x and one's digit no. be y.

So the no. will be = 10x+y.

Given : x+y=9-----(I)

9(10x+y)=2(10y+x) ⇒88x−11y=0 -----(II)

On solving I and II simultaneously you will get x=1 and y=8.

Therefore your desired no. is 18.

Step-by-step explanation:

Hope it is helpful.....

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

Answer:

2 dollars on each

Step-by-step explanation:

2 times 11 equals 22

Answer:

Each song costed $2.00

Step-by-step explanation:

If all song downloads cost the same, then each song download costs...

22 / 11 = 2

There the cost per 1 download is $2.00

Answer:

Part A:   -3x^8 + 2x^5 + 4x^3

Part B:   8

Part C:   3

Part D:   -3x^8

Part E:   -3

Step-by-step explanation:

A. Standard polynomial is :

[tex] - 3 {x}^{8} + 2 {x}^{5} + 4 {x}^{3} [/tex]

B. Degree of the polynomial is : 8

C. Number of terms are : 3

D. Leading term of the polynomial is:

[tex]-3 {x}^{8} [/tex]

E. Leading co effecient of the polynomial is: -3

Answer:

6.087

Step-by-step explanation:

0.000

^ones

   ^tenths

      ^hundredths

         ^thousandths

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

Answer:

Análisis del problema

Nos dan como datos el tiempo que se tarda cada uno en pintar la habitación:

Gerardo: 3 horas

Ángel: 6 horas

La velocidad de trabajo podemos definirla como dada por la cantidad de habitaciones que pueden pintar sobre el tiempo: H/t

Gerardo: 1 hab /3h

Ángel: 1 hab / 6h

Sumamos ambas velocidades de trabajo:

Por lo tanto entre los dos pintarían una habitación en dos horas.

Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections

Answer:

-3x² -2y² -8xy +5y

34x² + 51xy - 8y + 6y²

7x² - 11xy +12y - 8y²

Step-by-step explanation:

Given:

A: 5x²+3xy +2y

B: 2y²-xy +4x²

С: 12xy+4x²-3y

Find:

1) А-В-С

2) 2A+3B+4C

3) 3A-4B--2C

Computation:

1) А-В-С

5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]

5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y

-3x² -2y² -8xy +5y

2) 2A+3B+4C

2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]

10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y

34x² + 51xy - 8y + 6y²

3) 3A-4B-2C

3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]

15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y

7x² - 11xy +12y - 8y²

Answer:

nomelase pero será chida la imagen que tienes

Answer:

c=4.50

Step-by-step explanation:

c=4.50 the answer is at the top.

Answer:

N=$4.50

Step-by-step explanation:

If the price for one hamburger is $4.50, then N=$4.50

Answer:

55 pages per hour

Step-by-step explanation:

You divide 165 by 3 = 55

Answer: y = 11 cos (1/11x) +11

Step-by-step explanation:

Writing a cosine equation to model the height of the red spot over the distance you ride will be:

Some cosine formulas are:

A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.

Therefore the correct answer is option D.

Read more about cosine equation here:

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Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.

Step-by-step explanation:

We want to see if a one-variable equation always has only one solution.

This is false, as one-variable equations can have no solutions or more than one solution.

So we start with the statement:

"A one-variable equation always has only one solution".

We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:

x^2 - 4 = 0

This is a one-variable equation, and solving it we have:

x^2 = 4

x = ± √4 = ±2

So here we have two solutions, 2 and -2, thus the statement is false.

If you want to learn more, you can read:

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Explanation:

This might not be how you are supposed to do it but,

We can see the two triangles are similar because AA similarity.

We know that the sides are proportional so we can make:

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

We get,

[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]

Because sides can't be negative, x = 2/3

Answer:

x=2/3 = 0.7

Step-by-step explanation:

X+2/x = 4/3x-1

=(X+2)(3x-1)=4x

(x+2)(3x-1)-4x=0

3x²-x+6x-2-4x=0

3x²+x-2=0

3x²+3x-2x-2=0

3x(x+1)-2(x+1)

(x+1)(3x-2)=0

x+1=0

3x-2=0

x=-1 or 2/3

x=2/3 = 0.7

Answer:

i keep getting different stuff

Step-by-step explanation:

4 x − 5 + y = 0

x + 6 y = 5

6 x − 3 y =12

3 x + y = 16

6 x − 3 y = 12

3 x + 4 y = − 5

Answer:

38°

Step-by-step explanation:

Delta math