Find the product of (x + 5)2. x2 − 10x + 25 x2 − 25 x2 + 25 x2 + 10x + 25

Answers

Answer 1

Answer: Last option.

Step-by-step explanation:

By definition, the square of a binomial is:

[tex](a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2[/tex]

Keeping the above on mind, you have the following expression given in the problem:

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

Therefore, if:

[tex]a=x\\b=5[/tex]

You obtain the following trinomial:

[tex](x+5)^2=x^2+2(x)(5)+5^2=x^2+10x+25[/tex]

Therefore, the answer is the last option.

Answer 2

Answer:

D. x2 + 10x + 25

Step-by-step explanation:


Related Questions

Hodaya is drawing a map of the trials in the canyon near her house. She knows that the distance from the first creek crossing to the second creek crossing is 1.8 miles. If every 3 inches on the map represents 0.75 of a mile, how far apart will the two creek crossing be on the map, to the nearest tenth of an inch.

Answers

Answer:

It would roughly be 7 inches and 1/5 of an inch.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

Step-by-step explanation:

Two creek crossings are separated by distance A = 7.2 inches on the map.

What do you mean by an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

The information is ,

Let's say the equation looks like this: A

Right now, A is valued at

The two stream crossings' separation is indicated on the map as A.

And on the chart, 3 inches equals 0.75 miles, therefore the distance between the two stream crossings is 1.8 miles.

hence, 3 / 0.75 inches Equals 1 mile.

In the map, 1 mile equals 4 inches after simplifying the calculation.

The two creek crossing's distance on the map is therefore equal to 1.8 x 4.

The two stream crossings will be separated by 7.2 inches on map A.

Hence, the distance on the map is 7.2 inches.

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A cafeteria used 5 gallon of milk in preparing lunch. How many 1-quart containers of milk did the cafeteria use?​

Answers

Answer:

20 quarts of milk used

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷since there are 4 quarts in a gallon, you have 20 quarts.

There are four quarts in a gallon, so you times 4 and 5. The result you get is 20 quarts.  

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

What is the approximate circumference of a circle with the diameter of 6

Answers

Circumference= [tex]2\pi r[/tex]

If the diameter is 6 the radius will be 3

[tex]2\pi (3)[/tex]

Circumference= 18.85

Hey there!

The formula for circumference is πd, where d is diameter.

We are given that the diameter is 6, so the circumference is 6π.

However, we are asked for the approximate circumference, not the exact.

So, let's use 3.14 as π and simplify.

6 x 3.14 = 18.84

The approximate circumference of a circle with the diameter of 6 is 18.84.

Hope this helps!

Last week byron bought 5 containers of yogurt and spent 12.88 on other groceries this week Cassandra bought 3 containers if the same yogurt and spent 11.50 on the other groceries how much more money did byron spent than Cassandra?

Answers

Answer:1.33

Step-by-step explanation:

Byron spent $1.38 more than Cassandra on other groceries, as we subtracted Cassandra's spending ($11.50) from Byron's ($12.88) to determine the difference.

The question asks us to determine how much more money Byron spent compared to Cassandra on their grocery shopping. To find this out, we need to compare the total amount of money each person spent. We have the cost of other groceries for each person, but the cost of yogurt is not given. To solve this problem, we just need to compare the cost of other groceries since that is the only information provided.

Byron spent $12.88 on other groceries.

Cassandra spent $11.50 on other groceries.

To find out how much more Byron spent, we subtract Cassandra's total from Byron's total:

$12.88 - $11.50 = $1.38

Therefore, Byron spent $1.38 more than Cassandra on other groceries.

2. The two figures are similar.

a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain.


Answers

Answer:

Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure.(the scale factor is greater than 1)

Part c) The scale factor is [tex]3[/tex]

Step-by-step explanation:

Part a) Write the similarity statement

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

substitute the values

[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45'}[/tex]

[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3'}[/tex] ----> is true

therefore

the figures are similar

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure. (the scale factor is greater than 1)

Part c) we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z------> the scale factor

x-----> corresponding side of the image

y------> corresponding side of the original figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=A'B'=27\ units[/tex]

[tex]y=AB=9\ units[/tex]

substitute

[tex]z=\frac{27}{9}=3[/tex]

The scale factor is greater than 1

therefore

Is an enlargement

Answer:(A) ab/a’b’=bc/b’c’=ac/a’c’ (B) Figure a’b’c’ is an enlargement because it increase it’s sides larger than 1. (C) So we have to divide to get the scale factor for both of these figures 18/6=3 then you found the scale factor 3.

Step-by-step explanation:

Q. Jace is thinking of a number greater than 3.145 but less than 3.146. What number could he be thinking of and explain?

Answers

He could be thinking of any number between 3.1451 and 3.1459

I don’t know how to start it.

Answers

Answer:

36°

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

∠A:∠B:∠C = 8:10:12 = 8x:10x:12x

8x + 10x + 12x = 180

                20x = 180

                    x =     9

∠A =   8x =  8 × 9 =  72°

∠B = 10x = 10 × 9 =  90°

∠C = 12x = 12 × 9 = 108°

∠C - ∠A = 108 -72 = 36 °

The difference between the largest and the smallest angle is 36°.

Ty is painting a rectangle that is 10 inches long and 7 inches high. What attributes of a rectangle can you share with Ty to help him paint his rectangle?

Answers

Final answer:

A rectangle is a quadrilateral with four 90-degree angles. The opposite sides are equal, with two sides being the length (10 inches) and the other two being the width (7 inches).

Explanation:

Ty, when painting a rectangle, it's important to understand its attributes. A rectangle is a quadrilateral, meaning it has four sides. Two of these sides will be 10 inches long, and the other two will be 7 inches high - these are referred to as the 'length' and 'width'. Additionally, all interior angles of a rectangle are 90 degrees, which is a right angle. So when you are painting, make sure each corner forms a 90-degree angle. Also, the opposite sides of a rectangle are always equal. If any of these attributes are not followed, the figure will not be a rectangle.

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The graph represents function 1, and the equation represents function 2: Function 1 A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3. Function 2 y = 5x + 4 How much more is the rate of change of function 2 than the rate of change of function 1? 2 3 4 5

Answers

Answer its 5

Step-by-step explanation:

look it up theirs others with this question :)

Answer:

D. 5

Step-by-step explanation:

got it right n the test

What is the answer????

Answers

ANSWER

f(x) is an odd function.

EXPLANATION

The given function is symmetric with respect to the origin.

Hence it is an odd function.

We can also see from the graph that,

[tex]f(1) = 2[/tex]

and

[tex]f( - 1) = - 2[/tex]

This implies that,

[tex]f( - 1) = - f(1)[/tex]

Since

[tex]f( - x) = - f(x)[/tex]

the function is odd.

The correct answer is A.

Which expression does the fraction 3/8 represent?

1.8/3 2.3-8 3. 3/8 4. 3*8

Answers

Answer:

Im gonna guess and say it is answer 3.

Step-by-step explanation:

Express 17.16 as a mixed number in lowest terms

Answers

Answer:

The answer is 17 1/6  you didnt notice the little line above the six you techniclly just convert the decimal to a fraction i had this on my lesson it tricked me to

Step-by-step explanation:

What is 3/5+3/10 as a fraction

Answers

Answer:

9/10

Step-by-step explanation:

convert 3/5 to 6/10

6/10+3/10=9/10

The value of fraction will be;

⇒ 9/10

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ 3/5 + 3/10

Now,

Since, The fraction is,

⇒ 3/5 + 3/10

Solve as;

⇒ 3/5 + 3/10

⇒ 6/10 + 3/10

⇒ (6 + 3) / 10

⇒ 9 / 10

Thus, The value of fraction = 9/10

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PLS HELP!!

A circle is centered at point (-7,-1) and passes through the point (8,7).

The radius of the circle is _____ units. The point (-15,___) lies on this circle.

Answers

Answer:

Part 1) The radius of the circle is [tex]17\ units[/tex]

Part 2) The points (15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

Part 1

we know that

The distance between the center of the circle at point (-7,-1) and the point (8,7) is equal to the radius of the circle

so

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

substitute the values

[tex]r=\sqrt{(7+1)^{2}+(8+7)^{2}}[/tex]

[tex]r=\sqrt{(8)^{2}+(15)^{2}}[/tex]

[tex]r=\sqrt{289}}[/tex]

[tex]r=17\ units[/tex]

Part 2

we know that

If the point (-15,y) lies on the circle, then the ordered pair must be satisfy the equation of the circle

The equation of the circle is equal to

[tex](x+7)^{2}+(y+1)^{2}=17^{2}[/tex] -----> equation of the circle in center radius form

substitute the value of x=-15 in the equation and solve for y

[tex](-15+7)^{2}+(y+1)^{2}=289[/tex]

[tex]64+(y+1)^{2}=289[/tex]

[tex](y+1)^{2}=289-64[/tex]

[tex](y+1)^{2}=225[/tex]

[tex]y+1=(+/-)15[/tex]

[tex]y=-1(+/-)15[/tex]

so

[tex]y=14[/tex]

[tex]y=-16[/tex]

therefore

The points (15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

Answer:

Part 1) The radius of the circle is  

Part 2) The points (15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

URGENT!!! Write the product as a sum or difference.
6cos(21t)sin(20t)
Select the correct answer below:


3cos(t)−3cos(41t)

3sin(41t)−3sin(t)

3sin(t)−3cos(41t)

3cos(41t)−3sin(t)

3cos(41t)+3cos(t)

3sin(41t)+3sin(t)

Answers

Answer:

3 sin(41t) - 3 sin(t)

Step-by-step explanation:

The general formula to convert the product of the form cos(a)sin(b) into sum is:

cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]

The given product is:

6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]

Comparing the given product with general product mentioned above, we get:

a = 21t and b = 20t

Using these values in the formula we get:

6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]

= 3 [sin(41t) - sin(t)]

= 3 sin(41t) - 3 sin(t)

Therefore, second option gives the correct answer


Can anyone help me please?
Which expression can be used to find the area of a circle with a diameter of 30 cm?

a. π • 30

b. 2 • π • 15

c. π • 30^2

d. π • 15^2

Answers

Answer:

its b

Step-by-step explanation:

Answer:

2 × pi or (π) × 15 = 30 cm

Step-by-step explanation:

Would you use more centimeters or meters to measure the length of a car? Explain.

Answers

Answer:

Meters

Step-by-step explanation:

Because centimeters are to small to be a reasonable measurement for a car so you would have to use meters

The sum of three numbers is 83. The second number is 5 less than the first. The third number is 2 times the first. what are the numbers​

Answers

Answer:

22, 17, and 44.

Step-by-step explanation:

So what you do is you will have three equations that we will put together.

1. x. The first number is x because they don't give us anything about it.

2. x-5. It says that the second number is 5 less than the first number.

3. 2x. It says that the third number is 2 times the first number.

x+x-5+2x=83.

4x-5=83.

4x=88.

x=22.

That is the first number. To find the second and third, you will plug 22 into the x.

2. 22-5=17.

3. 2(22)=44.

22, 17, 44 are your answers.

Final answer:

By setting up equations based on the information provided, we solved for x as the first number and then used it to determine the other two numbers. The three numbers are 22, 17, and 44.

Explanation:

The sum of three numbers is 83. This is the first equation we'll use to solve the problem. Let's denote the first number as x. According to the question, the second number is 5 less than the first, which gives us the second equation y = x - 5. For the third number, it is given as 2 times the first, hence the third equation is z = 2x.

Now, we'll combine all three equations to express the sum:

x + (x - 5) + 2x = 83

Simplifying, we combine like terms:

4x - 5 = 83

Adding 5 to both sides gives us:

4x = 88

Dividing by 4, we find the first number:

x = 22

Now we'll use x to find the other two numbers:

y = 22 - 5 = 17

z = 2 × 22 = 44

Therefore, the three numbers are 22, 17, and 44.

Angle 1 and angle 2 are complementary the measure of angle 2 is 15 degrees less than twice the measure of angle 1 what is the measure of each angle plz help me

Answers

Final answer:

The measure of Angle 1 is 35 degrees and the measure of Angle 2 is 55 degrees.

Explanation:

When two angles are complementary, their measures add up to 90 degrees. Let's define these two angles as follows: Angle 1 = x and Angle 2 = 2x - 15 (since it is 15 degrees less than twice the measure of Angle 1). You set up an equation based on the fact that the two angles add up to 90 degrees: x + 2x - 15 = 90. Solving this equation, you get 3x = 105, so x = 35. Thus, Angle 1 = 35° and Angle 2 = 2(35) - 15 = 55°.

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The members of a track team ran laps around their school. They ran a total of 6 3/4, each lap was 7/8 miles long. How many laps did they run?

Answers

Answer:

[tex]7\frac{5}{7}\ laps[/tex]

Step-by-step explanation:

we know that

To find out how many laps they ran, divide the total distance by the distance of one lap

step 1

Convert the total distance from mixed number to an improper fraction

[tex]6\frac{3}{4}\ mi=\frac{6*4+3}{4}=\frac{27}{4}\ mi[/tex]

step 2

Find the number of laps

[tex]\frac{(27/4)}{(7/8)}=\frac{54}{7}\ laps[/tex]

step 3

Convert the number of laps to mixed number

[tex]\frac{54}{7}=\frac{49}{7}+\frac{5}{7}=7\frac{5}{7}\ laps[/tex]

The area of a circular trampoline is 112.07 square feet. What is the radius

Answers

Answer: The correct answer is B. 5.97 feet

Step-by-step explanation:

Formula⇒A=π r2

* Hopefully the work helps:) Mark me the brainliest;)!!!

Answer:

5.97 feet

Step-by-step explanation:

Set up your equation as 112.07 = Pi*r^2

To simplify, divide 112.07 by Pi or an approximation of it and then find the square root of your answer.

112.07 = Pi*r^2

112.07/Pi = r^2

(112.07/Pi)^0.5=r

Someone help me please

Answers

Answer:

Look at the picture

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\\text{Therefore}\\\\f(x)=b^x\to y=b^x\\\\\text{find}\ f^{-1}(x).\ \text{Exchange}\ x\ \text{and}\ y\ \text{and solve for}\ y:\\\\b^y=x\qquad\text{logarithm iwth base b of both sides}\\\\\log_bb^y=\log_b(x)\qquad\text{use}\ \log_ab^m=m\log_ab\\\\y\log_bb=\log_b(x)\qquad\text{use}\ \log_aa=1\\\\y=\log_b(x)\\\\f^{-1}(x)=\log_b(x)\to g(x)=f^{-1}(x)\\\\\text{Then:}\ f(a)=b\to g(b)=a[/tex]

What is 20 % of 275

Answers

Answer:

55

Step-by-step explanation:

So first of all I would convert the 20% to a decimal by dividing by 100 and you get 0.2

Then multiply 0.2 and 275 together and you get 55

If you are unsure on an answer, a way to quickcheck is setting the answer over your total

55

-------- =  0.2   ⇒  which equals 20%

275

Answer: 55

Step-by-step explanation:

First, find 10% of 275 (move the decimal place back once).

We now have 27.5.

Now, multiply 27.5 by 2 because we are finding 20%

So, 27.5 x 2= 55

x+y=70
65x+15y=2400
solve by substitution
please show work very important thank you so much

Answers

Answer:

The solution is

x = 27 and y = 43

Step-by-step explanation:

See the image

Your friend pulls out a huge home baked pizza from the oven and tells you the area is a=625(pi)cm2. What is the diameter of this pizza

Answers

Answer:

Diameter = 50 cm

Step-by-step explanation:

We are given that the area of a home bakes pizza is [tex] 6 2 5 \pi cm ^ 2[/tex].

Here, we are assuming that the pizza is circular and we know that the area of a circle is given by: [tex]\pi r^2[/tex]

So equating the given value to find the value of the diameter.

[tex]\pi r^2[/tex] [tex]=625\pi[/tex]

[tex]r^2=625[/tex]

[tex]r=\sqrt{625}[/tex]

[tex]r=25[/tex]

If the radius is 25 cm, then  diameter = 25 × 2 = 50 cm

Answer:

The diameter of the pizza= 50 cm

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

It is given that, area of pizza is 625π cm²

A pizza is like a circle.

Find the radius of pizza

Area = πr²= 625π cm²

r² = 625π/π = 625

r = √625 = ±25

radius r = 25cm

To find the diameter of pizza

Diameter = 2r  = 2 * 25 = 50 cm

Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present age in terms of Clive’s age?

A.
2c − 3

B.
2c + 6


C.
2(c − 3)

D.
2c + 3

Answers

The answer is D

Sherman would still be double Clive's age (2c) and he would have aged 3 years (+3)

In order to solve x 2 + 12 x = 2 by completing the square, what value must be added to both sides?

Answers

Answer:

36

Step-by-step explanation:

x^2 + 12 x = 2

In order to complete the square we need to add ( b/2)^2 to each side where b is the coefficient of the x term

b=12

12/2 = 6

6^2 = 36

We need to add 36 to each side

m∠A=(x+45)°,
mKE =(x+20)°,
mEW=(3x)° ,
Find: mKW.

Answers

Answer:

The measure of the arc KW is [tex]160\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<A=\frac{1}{2}(arc\ KE+arc\ EW)[/tex]

substitute the values and solve for x

[tex](x+45)\°=\frac{1}{2}(x+20+3x)\°[/tex]

[tex](2x+90)\°=(4x+20)\°[/tex]

[tex]4x-2x=90\°-20\°[/tex]

[tex]2x=70\°[/tex]

[tex]x=70\°/2=35\°[/tex]

Find the measure of the arc KW

[tex]arc\ KW=(arc\ KE+arc\ EW)=(4x+20)\°[/tex]

substitute the value of x

[tex]arc\ KW=4(35\°)+20\°=160\°[/tex]

Jayla buys and sales

Answers

I don’t get it , where is the rest of the question

Answer:

There is no question

Step-by-step explanation:

Factor completely.

x2−8x+15
Do not include any spaces in your answer. Use parentheses to separate your factors. A sample answer might be (x+1)(x-4).

Question 5 options:

Answers

The answer is :

(x+5)(x+3)

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