The perimeter of a
rectangle is 60m while
the area is 216m².
Find the dimensions
of the rectangle.

Answer:

the answer is c

Step-by-step explanation:

see picture

Answer:if u I simplified then 17x

Step-by-step explanation:

Like terms are 10+7=17+x=17x

Answer:

68.58571279792898674952395409176495897504652945838676359611.....

Irrational

Step-by-step explanation:

Answer:

It is irrational

Step-by-step explanation:

28sqrt6=sqrt(28^2*6)=sqrt(784*6)=sqrt(4704)=68.5857128...

Since the decimals go on forever, 28sqrt6 is irrational

Hope this helped!

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Explanation:

If points F and E are the midpoints of segment VU and segment ST respectively, then segment FE is the midsegment of the trapezoid. The midsegment is parallel to the bases, and the midsegment's length is found by adding up the bases VS and UT, then dividing by 2.

(VS + UT)/2 = FE

(29 + x+17)/2 = 23 ... plug in given info; isolate x

(x+46)/2 = 23

x+46 = 23*2 ... multiply both sides by 2

x+46 = 46

x = 46-46 ... subtract 46 from both sides

The expression [tex]8x^2 + 10x[/tex] factors to [tex]2x(4x + 5)[/tex] and has solutions x = 0 and x = -5/4.

We first need to understand what it represents. In this expression, [tex]x[/tex] is the variable, and the terms [tex]8x^2[/tex] and [tex]10x[/tex] are polynomial terms where:

[tex]8x^2[/tex] indicates that the variable [tex]x[/tex] is raised to the power of 2, meaning it is multiplied by itself ([tex]x \times x[/tex]) and then scaled by a factor of 8.

[tex]10x[/tex] means that the variable [tex]x[/tex] is multiplied by 10.

The first term is [tex]8x^2[/tex].

The second term is [tex]10x[/tex].

In this case, the terms are not like terms because one is [tex]x^2[/tex] and the other is [tex]x[/tex]. Therefore, they cannot be combined further. The expression is simplest as it stands, which is:  [tex]8x^2 + 10x[/tex]

Factoring out [tex]2x[/tex] gives us:

[tex]2x(4x + 5)[/tex]

Thus, [tex]8x^2 + 10x[/tex] can also be expressed as [tex]2x(4x + 5)[/tex]. This is useful if you are trying to find the roots of the equation (setting it equal to zero) since it can help identify the values of [tex]x[/tex] that satisfy the equation [tex]8x^2 + 10x = 0[/tex].

This gives two possible solutions for x:

2 * x = 0 which leads to x = 0

4 * x + 5 = 0 which leads to x = -5/4

Answer:

24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

DB = AC = 48

The diagonals also bisect each other, thus

DE = 0.5DB = 0.5 × 48 = 24 → B

Answer:

The man's son

Step-by-step explanation:

"Brothers and sisters I have none, but that man's father is my father's son" the part where he says "that man's father is my father's son" implies that he is looking at his son.

Answer:

1. 60 miles per hour

2. Yes, linear

3. Y=60x

Step-by-step explanation:

1. Speed is 60 miles per hour.

2. A function relationship is a relationship between two variables.

3. The rule to represent the function is Distance = 60t.

1. What is the speed?

The speed of the car is the rate at which it is traveling. It is calculated by dividing the distance traveled by the time taken to travel that distance.

Speed = Distance / Time

From the graph, we can see that the car travels 120 miles in 2 hours. Therefore, the speed of the car is:

Speed = 120 miles / 2 hours = 60 miles per hour

2. Is this a function relationship?

A function relationship is a relationship between two variables where each input value has only one output value. In other words, for every value of the independent variable (in this case, time), there is only one corresponding value of the dependent variable (in this case, distance).

We can see from the graph that the distance traveled by the car increases linearly with time. This means that there is a one-to-one relationship between the two variables, and therefore the relationship is a function.

3. If this is a function, write a rule to represent it.

A rule for a function is a mathematical expression that shows how the dependent variable is related to the independent variable. In this case, the rule for the function would be:

Distance = Speed * Time

Substituting the speed of the car into the rule, we get:

Distance = 60 miles per hour * Time

Therefore, the rule to represent the function is:

Distance = 60t

where t is the time in hours.

Answer:

n = - 4

Step-by-step explanation:

Given

6n - 2(4n + 7) + 4 = - 2 ← distribute and simplify left side

6n - 8n - 14 + 4 = - 2

- 2n - 10 = - 2 ( add 10 to both sides )

- 2n = 8 ( divide both sides by - 2 )

n = - 4

To solve the equation 6n - 2(4n + 7) + 4 = -2, we apply the distributive property and combine like terms to simplify. The solution is n = -4.

To solve the equation 6n - 2(4n + 7) + 4 = -2, we need to apply the distributive property and combine like terms to simplify.

Therefore, the value of n that makes the equation true is n = -4.

Learn more about Solving equations here:

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Answer:

5,12,13

Step-by-step explanation:

i think thats what the other person meant to say, either way, these numbers are correct

Answer: 5, 12, 13

Step-by-step explanation:

Answer: the measure of SQR is 53°

x = –5 or x = 3

Solution:

Given expression:

[tex]|-1-x|=4[/tex]

[tex]\Rightarrow |-x-1|=4[/tex]

⇒ –x – 1 = 4 or –x – 1 = 4

First take –x – 1 = 4.

Add 1 on both side of the equation.

⇒ –x – 1  + 1 = 4 + 1

⇒ –x = 5

Divide by –1 on both side of the equation, we get

⇒ x = –5

Now take –x – 1 = –4.

Add 1 on both side of the equation.

⇒ –x – 1  + 1 = –4 + 1

⇒ –x = –3

Divide by –1 on both side of the equation, we get

⇒ x = 3

x = –5 or x = 3

Hence the two values of x are –5 or 3.

Answer:

  79°

Step-by-step explanation:

Label the intersection of AE and CD point F. Then angle CFE is an alternate interior angle with angle BAE, so is congruent. The angle of interest is an exterior angle to triangle CFE, so is the sum of remote interior angles CFE (54°) and DCE (25°). That sum is ...

  m∠AEC = 54° +25° = 79°

Based on the definition of alternate interior angles, the measure of ∠AEC is: 79°

Interior angles that are alternating each other on a transversal are congruent, and are called alternate interior angles.

Thus:

m∠AEC = m∠BAE + m∠FCE

Substitute

m∠AEC = 54° + 25°

m∠AEC = 79°

Therefore, based on the definition of alternate interior angles, the measure of ∠AEC is: 79°

Learn more about alternate interior angles on:

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Given data:

m∠P = m∠R and TP = SR

To prove that ΔQTP ≅ ΔQSR:

Consider ΔQTP and ΔQSR,

m∠P = m∠R (given angle)

TP = SR (given side)

m∠Q = m∠Q (common angle)

∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)

Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.

Louise’s answer is not correct

Step-by-step explanation:

Let us revise how to solve (ax + b)²

The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²

∵ The bracket is (5x³ + 3)²

- Square the first term

∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]

- Multiply the 1st , the 2nd term and 2

∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³

- Square the 2nd term

∴ The third term of the answer = (3)² = 9

∴ (5x³ + 3)² =  [tex]25x^{6}[/tex] + 30x³ + 9

∵ Louise’s answer is (5x³)² + (3)² =  [tex]25x^{6}[/tex] + 9

- By comparing the his answer with the answer above, he did

   not find the middle term

∴ Louise’s answer is not correct

Learn more:

You can learn more about expand a binomial in brainly.com/question/2334388

#LearnwithBrainly

Answer:

Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Step-by-step explanation:

Sample Response ^^^

Answer:4.21,4.22,4.23, 4.24

Step-by-step explanation:

4 1/5 is 4.2 as a decimal and the numbers between 4.2 and 4.5 as numbers with 2 places past the decimal place are the ones above.

The number with two decimal places that are bigger than 4(1/5) and smaller than 4.25 is 4.22.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4(1/5)

= 21/5

= 4.2

Now,

Two decimal numbers between 4.2 and 4.25.

4.21, 4.22, 4.23, and 4,24.

Thus,

The number is 4.22.

Learn more about expressions here:

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Answer:

a. False

b. False

c. False

d. True

e. False.   (any number above 14.5 is a solution).

Step-by-step explanation:

12 + 6y > 99

6y > 87

y > 14.5.

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

Answer:

First choice:

               [tex]\large\boxed{\large\boxed{5/19}}[/tex]

Explanation:

The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards  in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

1. Probability that the first is a man's card

2. Probability that the second is a woman's card

3. Probability that the first is a man's card and the second, a woman's card

That is the first choice.

Answer:

5/19

Step-by-step explanation:

I know this isn't as good as the other persons answer but I wanted to reassure you that it was correct and my proof is that I took a test on this and got it right with this answer. I hope I helped! :>

Answer:

VW=30, WX=20, YW=30,ZX=20

Step-by-step explanation:

Answer:

x=-13

Step-by-step explanation:

1. Divide both sides by -0.4

2. Subtract -3 on both sides.

3. -10-3=-13

Answer:

2.4 kg

Step-by-step explanation:

Given

dog eats 0.3 kg of dog food each day

hence we can say that  the unit rate is 0.3 kg per day

1 day ------> eats 0.3 kg

8 days -------> eats 0.3 kg x 8 = 2.4 kg

Answer:

2.4 kilogram

Step-by-step explanation:

If

1 day = 0.3kg

8day =

0.3 multiply by number of days

0.3kg * 8= 2.4kg

Answer:

2.2r

Step-by-step explanation:

3.7r - 1.5r =

= r(3.7 - 1.5)

= r×2.2

= 2.2r

Yo sup??

given expression: 3.7r-1.5r

3.7r-1.5r

=3.7r+(-1.5r)

=2.2r

Hope this helps.

Answer:

0.1254

Step-by-step explanation:

(Divide by 100 to get 1%)

Answer:

Step-by-step explanation:

0.1254

Answer:

In mathematics, a function (f) is a relationship between a given set X (called domain) and another set of elements Y (called codomain) so that each element x of the domain corresponds to a single element f (x) of the domain (the that form the route, also called scope ranking).

See: Relations and functions

In everyday or simpler language, we will say that mathematical functions are equivalent to the common logical process that is expressed as "dependent on."

Mathematical functions can refer to everyday situations, such as: the cost of a phone call that depends on its duration, or the cost of sending a parcel that depends on its weight.

As an example, what would be the rule that relates the numbers on the right with those on the left in the following list ?:

1 --------> 1

2 --------> 4

3 --------> 9

4 --------> 16

The numbers on the right are the squares of those on the left.

The rule is then to "square":

1 --------> 1

2 --------> 4

3 --------> 9

4 --------> 16

x --------> x 2.

To refer to this rule we can use a name, which is usually the letter f (of function). So, f is the rule "square the number".

Usually two notations are used:

x --------> x 2 or f (x) = x 2.

Thus, f (3) means applying the rule f to 3. Doing so results in 3 2 = 9.

Then f (3) = 9. Similarly f (2) = 4, f (4) = 16, f (a) = a 2, etc.

Answer:

No solution exist!

Step-by-step explanation:

Answer:

It is impossible to have an arithmetic answer. No Solutions, or ø

Answer:

3x+2

Step-by-step explanation:

We want to find an expression that is equivalent to:

[tex]x+1-x+2x+x+1[/tex]

We regroup similar terms to get:

[tex]x-x+2x+x+1+1[/tex]

We now combine the similar terms to obtain:

[tex]3x+2[/tex]

Therefore the expression that is equivalent to:  x + 1 − x + 2x + x + 1 is [tex]3x+2[/tex]

Answer:

3x + 2

Step-by-step explanation:

3x + 2

Solve by simplifying the given expression OR substitute 1 for x in each expression.

x + 1 − x + 2x + x + 1 → x − x + 2x + x + 2 → 3x + 2

OR

x + 1 − x + 2x + x + 1 → 1 + 1 − 1 + 2(1) + 1 + 1 = 5

3x + 2 → 3(1) + 2 = 5

To divide 64 students into small groups greater than 2 with no remainder, you would use the concept of combinations, specifically 62C3, resulting in 3,992 possible ways.

A teacher has 64 students to divide into small groups greater than 2 with no remainder. To solve this, we can use the concept of combinations, denoted as nCr, where n is the total number of students and r is the size of each group. In this case, the calculation would be 62C3, which equals 3,992 ways of dividing the students into groups.

Answer:

One piece of candy costs $0.52.

Step-by-step explanation:

5.2/10=0.52